[{"acknowledgement":"A.B.L. would like to thank Johannes Agerskov and Jan Philip Solovej for valuable discussions. We thank Alessandro Giuliani for helpful discussions and for pointing out the reference [18]. Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is acknowledged. Financial support by the Austrian Science Fund (FWF) through project number I 6427-N (as part of the SFB/TRR 352) is gratefully acknowledged.","publisher":"Elsevier","quality_controlled":"1","oa":1,"year":"2024","day":"24","publication":"Journal of Functional Analysis","doi":"10.1016/j.jfa.2024.110320","date_published":"2024-01-24T00:00:00Z","date_created":"2024-02-04T23:00:53Z","article_number":"110320","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"Mathematical Challenges in BCS Theory of Superconductivity","grant_number":"I06427","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b"}],"citation":{"chicago":"Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110320.","ista":"Lauritsen AB, Seiringer R. 2024. Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis. 286(7), 110320.","mla":"Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” Journal of Functional Analysis, vol. 286, no. 7, 110320, Elsevier, 2024, doi:10.1016/j.jfa.2024.110320.","apa":"Lauritsen, A. B., & Seiringer, R. (2024). Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2024.110320","ama":"Lauritsen AB, Seiringer R. Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis. 2024;286(7). doi:10.1016/j.jfa.2024.110320","short":"A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).","ieee":"A. B. Lauritsen and R. Seiringer, “Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion,” Journal of Functional Analysis, vol. 286, no. 7. Elsevier, 2024."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","author":[{"full_name":"Lauritsen, Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","last_name":"Lauritsen","first_name":"Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2301.04894"]},"title":"Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion","abstract":[{"lang":"eng","text":"We prove an upper bound on the ground state energy of the dilute spin-polarized Fermi gas capturing the leading correction to the kinetic energy resulting from repulsive interactions. One of the main ingredients in the proof is a rigorous implementation of the fermionic cluster expansion of Gaudin et al. (1971) [15]."}],"oa_version":"Published Version","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1016/j.jfa.2024.110320"}],"month":"01","intvolume":" 286","publication_identifier":{"eissn":["1096--0783"],"issn":["0022-1236"]},"publication_status":"epub_ahead","language":[{"iso":"eng"}],"volume":286,"issue":"7","ec_funded":1,"_id":"14931","article_type":"original","type":"journal_article","status":"public","date_updated":"2024-03-28T10:54:02Z","department":[{"_id":"RoSe"}]},{"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"title":"The Bose Gas in a box with Neumann boundary conditions","external_id":{"arxiv":["2205.15284"],"isi":["000910751800002"]},"article_processing_charge":"No","author":[{"first_name":"Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","full_name":"Boccato, Chiara","last_name":"Boccato"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ieee":"C. Boccato and R. Seiringer, “The Bose Gas in a box with Neumann boundary conditions,” Annales Henri Poincare, vol. 24. Springer Nature, pp. 1505–1560, 2023.","short":"C. Boccato, R. Seiringer, Annales Henri Poincare 24 (2023) 1505–1560.","apa":"Boccato, C., & Seiringer, R. (2023). The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-022-01252-3","ama":"Boccato C, Seiringer R. The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. 2023;24:1505-1560. doi:10.1007/s00023-022-01252-3","mla":"Boccato, Chiara, and Robert Seiringer. “The Bose Gas in a Box with Neumann Boundary Conditions.” Annales Henri Poincare, vol. 24, Springer Nature, 2023, pp. 1505–60, doi:10.1007/s00023-022-01252-3.","ista":"Boccato C, Seiringer R. 2023. The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. 24, 1505–1560.","chicago":"Boccato, Chiara, and Robert Seiringer. “The Bose Gas in a Box with Neumann Boundary Conditions.” Annales Henri Poincare. Springer Nature, 2023. https://doi.org/10.1007/s00023-022-01252-3."},"oa":1,"quality_controlled":"1","publisher":"Springer Nature","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged.","date_created":"2023-01-15T23:00:52Z","date_published":"2023-05-01T00:00:00Z","doi":"10.1007/s00023-022-01252-3","page":"1505-1560","publication":"Annales Henri Poincare","day":"01","year":"2023","isi":1,"status":"public","article_type":"original","type":"journal_article","_id":"12183","department":[{"_id":"RoSe"}],"date_updated":"2023-08-16T11:34:03Z","intvolume":" 24","month":"05","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2205.15284"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"text":"We consider a gas of n bosonic particles confined in a box [−ℓ/2,ℓ/2]3 with Neumann boundary conditions. We prove Bose–Einstein condensation in the Gross–Pitaevskii regime, with an optimal bound on the condensate depletion. Moreover, our lower bound for the ground state energy in a small box [−ℓ/2,ℓ/2]3 implies (via Neumann bracketing) a lower bound for the ground state energy of N bosons in a large box [−L/2,L/2]3 with density ρ=N/L3 in the thermodynamic limit.","lang":"eng"}],"ec_funded":1,"volume":24,"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["1424-0637"]}},{"volume":35,"issue":"4","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0129-055X"]},"intvolume":" 35","month":"01","main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2110.00458"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"text":"We study the time evolution of the Nelson model in a mean-field limit in which N nonrelativistic bosons weakly couple (with respect to the particle number) to a positive or zero mass quantized scalar field. Our main result is the derivation of the Bogoliubov dynamics and higher-order corrections. More precisely, we prove the convergence of the approximate wave function to the many-body wave function in norm, with a convergence rate proportional to the number of corrections taken into account in the approximation. We prove an analogous result for the unitary propagator. As an application, we derive a simple system of partial differential equations describing the time evolution of the first- and second-order approximations to the one-particle reduced density matrices of the particles and the quantum field, respectively.","lang":"eng"}],"department":[{"_id":"RoSe"}],"date_updated":"2023-08-16T11:47:27Z","status":"public","type":"journal_article","article_type":"original","_id":"12430","date_created":"2023-01-29T23:00:59Z","date_published":"2023-01-09T00:00:00Z","doi":"10.1142/S0129055X2350006X","publication":"Reviews in Mathematical Physics","day":"09","year":"2023","isi":1,"oa":1,"publisher":"World Scientific Publishing","quality_controlled":"1","title":"Bogoliubov dynamics and higher-order corrections for the regularized Nelson model","external_id":{"arxiv":["2110.00458"],"isi":["000909760300001"]},"article_processing_charge":"No","author":[{"first_name":"Marco","last_name":"Falconi","full_name":"Falconi, Marco"},{"last_name":"Leopold","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K"},{"full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes"},{"orcid":"0000-0002-9166-5889","full_name":"Petrat, Sören P","last_name":"Petrat","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","first_name":"Sören P"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Falconi, Marco, et al. “Bogoliubov Dynamics and Higher-Order Corrections for the Regularized Nelson Model.” Reviews in Mathematical Physics, vol. 35, no. 4, 2350006, World Scientific Publishing, 2023, doi:10.1142/S0129055X2350006X.","ieee":"M. Falconi, N. K. Leopold, D. J. Mitrouskas, and S. P. Petrat, “Bogoliubov dynamics and higher-order corrections for the regularized Nelson model,” Reviews in Mathematical Physics, vol. 35, no. 4. World Scientific Publishing, 2023.","short":"M. Falconi, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Reviews in Mathematical Physics 35 (2023).","apa":"Falconi, M., Leopold, N. K., Mitrouskas, D. J., & Petrat, S. P. (2023). Bogoliubov dynamics and higher-order corrections for the regularized Nelson model. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X2350006X","ama":"Falconi M, Leopold NK, Mitrouskas DJ, Petrat SP. Bogoliubov dynamics and higher-order corrections for the regularized Nelson model. Reviews in Mathematical Physics. 2023;35(4). doi:10.1142/S0129055X2350006X","chicago":"Falconi, Marco, Nikolai K Leopold, David Johannes Mitrouskas, and Sören P Petrat. “Bogoliubov Dynamics and Higher-Order Corrections for the Regularized Nelson Model.” Reviews in Mathematical Physics. World Scientific Publishing, 2023. https://doi.org/10.1142/S0129055X2350006X.","ista":"Falconi M, Leopold NK, Mitrouskas DJ, Petrat SP. 2023. Bogoliubov dynamics and higher-order corrections for the regularized Nelson model. Reviews in Mathematical Physics. 35(4), 2350006."},"article_number":"2350006"},{"publication_identifier":{"issn":["2663 - 337X"]},"degree_awarded":"PhD","publication_status":"published","file":[{"content_type":"application/pdf","relation":"main_file","access_level":"open_access","checksum":"ef039ffc3de2cb8dee5b14110938e9b6","file_id":"14398","file_size":2365702,"date_updated":"2023-10-06T11:35:56Z","creator":"broos","file_name":"phd-thesis-draft_pdfa_acrobat.pdf","date_created":"2023-10-06T11:35:56Z"},{"creator":"broos","date_updated":"2023-10-06T11:38:01Z","file_size":4691734,"date_created":"2023-10-06T11:38:01Z","file_name":"Version5.zip","access_level":"closed","relation":"source_file","content_type":"application/x-zip-compressed","file_id":"14399","checksum":"81dcac33daeefaf0111db52f41bb1fd0"}],"language":[{"iso":"eng"}],"related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"13207"},{"relation":"part_of_dissertation","status":"public","id":"10850"}]},"license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","ec_funded":1,"abstract":[{"lang":"eng","text":"Superconductivity has many important applications ranging from levitating trains over qubits to MRI scanners. The phenomenon is successfully modeled by Bardeen-Cooper-Schrieffer (BCS) theory. From a mathematical perspective, BCS theory has been studied extensively for systems without boundary. However, little is known in the presence of boundaries. With the help of numerical methods physicists observed that the critical temperature may increase in the presence of a boundary. The goal of this thesis is to understand the influence of boundaries on the critical temperature in BCS theory and to give a first rigorous justification of these observations. On the way, we also study two-body Schrödinger operators on domains with boundaries and prove additional results for superconductors without boundary.\r\n\r\nBCS theory is based on a non-linear functional, where the minimizer indicates whether the system is superconducting or in the normal, non-superconducting state. By considering the Hessian of the BCS functional at the normal state, one can analyze whether the normal state is possibly a minimum of the BCS functional and estimate the critical temperature. The Hessian turns out to be a linear operator resembling a Schrödinger operator for two interacting particles, but with more complicated kinetic energy. As a first step, we study the two-body Schrödinger operator in the presence of boundaries.\r\nFor Neumann boundary conditions, we prove that the addition of a boundary can create new eigenvalues, which correspond to the two particles forming a bound state close to the boundary.\r\n\r\nSecond, we need to understand superconductivity in the translation invariant setting. While in three dimensions this has been extensively studied, there is no mathematical literature for the one and two dimensional cases. In dimensions one and two, we compute the weak coupling asymptotics of the critical temperature and the energy gap in the translation invariant setting. We also prove that their ratio is independent of the microscopic details of the model in the weak coupling limit; this property is referred to as universality.\r\n\r\nIn the third part, we study the critical temperature of superconductors in the presence of boundaries. We start by considering the one-dimensional case of a half-line with contact interaction. Then, we generalize the results to generic interactions and half-spaces in one, two and three dimensions. Finally, we compare the critical temperature of a quarter space in two dimensions to the critical temperatures of a half-space and of the full space."}],"oa_version":"Published Version","alternative_title":["ISTA Thesis"],"month":"09","supervisor":[{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"date_updated":"2023-10-27T10:37:30Z","ddc":["515","539"],"file_date_updated":"2023-10-06T11:38:01Z","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"_id":"14374","type":"dissertation","tmp":{"name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","image":"/images/cc_by_nc_sa.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","short":"CC BY-NC-SA (4.0)"},"status":"public","has_accepted_license":"1","year":"2023","day":"30","page":"206","date_published":"2023-09-30T00:00:00Z","doi":"10.15479/at:ista:14374","date_created":"2023-09-28T14:23:04Z","publisher":"Institute of Science and Technology Austria","oa":1,"citation":{"mla":"Roos, Barbara. Boundary Superconductivity in BCS Theory. Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:14374.","ieee":"B. Roos, “Boundary superconductivity in BCS theory,” Institute of Science and Technology Austria, 2023.","short":"B. Roos, Boundary Superconductivity in BCS Theory, Institute of Science and Technology Austria, 2023.","apa":"Roos, B. (2023). Boundary superconductivity in BCS theory. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:14374","ama":"Roos B. Boundary superconductivity in BCS theory. 2023. doi:10.15479/at:ista:14374","chicago":"Roos, Barbara. “Boundary Superconductivity in BCS Theory.” Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:14374.","ista":"Roos B. 2023. Boundary superconductivity in BCS theory. Institute of Science and Technology Austria."},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","author":[{"last_name":"Roos","full_name":"Roos, Barbara","orcid":"0000-0002-9071-5880","first_name":"Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425"}],"article_processing_charge":"No","title":"Boundary superconductivity in BCS theory","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","name":"Mathematical Challenges in BCS Theory of Superconductivity","grant_number":"I06427"}]},{"month":"05","intvolume":" 12","oa_version":"Published Version","abstract":[{"text":"We consider the linear BCS equation, determining the BCS critical temperature, in the presence of a boundary, where Dirichlet boundary conditions are imposed. In the one-dimensional case with point interactions, we prove that the critical temperature is strictly larger than the bulk value, at least at weak coupling. In particular, the Cooper-pair wave function localizes near the boundary, an effect that cannot be modeled by effective Neumann boundary conditions on the order parameter as often imposed in Ginzburg–Landau theory. We also show that the relative shift in critical temperature vanishes if the coupling constant either goes to zero or to infinity.","lang":"eng"}],"related_material":{"record":[{"relation":"dissertation_contains","id":"14374","status":"public"}]},"issue":"4","volume":12,"ec_funded":1,"file":[{"creator":"alisjak","date_updated":"2023-07-11T08:19:15Z","file_size":304619,"date_created":"2023-07-11T08:19:15Z","file_name":"2023_EMS_Hainzl.pdf","access_level":"open_access","relation":"main_file","content_type":"application/pdf","checksum":"5501da33be010b5c81440438287584d5","file_id":"13208","success":1}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1664-0403"],"issn":["1664-039X"]},"publication_status":"published","status":"public","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"13207","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"file_date_updated":"2023-07-11T08:19:15Z","ddc":["530"],"date_updated":"2023-10-27T10:37:29Z","quality_controlled":"1","publisher":"EMS Press","oa":1,"acknowledgement":"We thank Egor Babaev for encouraging us to study this problem, and Rupert Frank for many fruitful discussions. scussions. Funding. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 (Barbara Roos and Robert Seiringer) is gratefully acknowledged.","date_published":"2023-05-18T00:00:00Z","doi":"10.4171/JST/439","date_created":"2023-07-10T16:35:45Z","page":"1507–1540","day":"18","publication":"Journal of Spectral Theory","has_accepted_license":"1","isi":1,"year":"2023","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"title":"Boundary superconductivity in the BCS model","author":[{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"id":"5DA90512-D80F-11E9-8994-2E2EE6697425","first_name":"Barbara","last_name":"Roos","full_name":"Roos, Barbara","orcid":"0000-0002-9071-5880"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"article_processing_charge":"No","external_id":{"arxiv":["2201.08090"],"isi":["000997933500008"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"mla":"Hainzl, Christian, et al. “Boundary Superconductivity in the BCS Model.” Journal of Spectral Theory, vol. 12, no. 4, EMS Press, 2023, pp. 1507–1540, doi:10.4171/JST/439.","ama":"Hainzl C, Roos B, Seiringer R. Boundary superconductivity in the BCS model. Journal of Spectral Theory. 2023;12(4):1507–1540. doi:10.4171/JST/439","apa":"Hainzl, C., Roos, B., & Seiringer, R. (2023). Boundary superconductivity in the BCS model. Journal of Spectral Theory. EMS Press. https://doi.org/10.4171/JST/439","ieee":"C. Hainzl, B. Roos, and R. Seiringer, “Boundary superconductivity in the BCS model,” Journal of Spectral Theory, vol. 12, no. 4. EMS Press, pp. 1507–1540, 2023.","short":"C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540.","chicago":"Hainzl, Christian, Barbara Roos, and Robert Seiringer. “Boundary Superconductivity in the BCS Model.” Journal of Spectral Theory. EMS Press, 2023. https://doi.org/10.4171/JST/439.","ista":"Hainzl C, Roos B, Seiringer R. 2023. Boundary superconductivity in the BCS model. Journal of Spectral Theory. 12(4), 1507–1540."}},{"citation":{"mla":"Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part I - The Quantum Correction to the Classical Energy.” Communications in Mathematical Physics, vol. 404, Springer Nature, 2023, pp. 287–337, doi:10.1007/s00220-023-04841-3.","ieee":"M. Brooks and R. Seiringer, “The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy,” Communications in Mathematical Physics, vol. 404. Springer Nature, pp. 287–337, 2023.","short":"M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.","ama":"Brooks M, Seiringer R. The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy. Communications in Mathematical Physics. 2023;404:287-337. doi:10.1007/s00220-023-04841-3","apa":"Brooks, M., & Seiringer, R. (2023). 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Open access funding provided by Institute of Science and Technology (IST Austria).","publisher":"Springer Nature","quality_controlled":"1","oa":1,"date_updated":"2023-10-31T12:22:51Z","ddc":["510"],"department":[{"_id":"RoSe"}],"file_date_updated":"2023-10-31T12:21:39Z","_id":"14441","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"publication_status":"published","file":[{"content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"file_id":"14477","checksum":"1ae49b39247cb6b40ff75997381581b8","file_size":832375,"date_updated":"2023-10-31T12:21:39Z","creator":"dernst","file_name":"2023_CommMathPhysics_Brooks.pdf","date_created":"2023-10-31T12:21:39Z"}],"language":[{"iso":"eng"}],"volume":404,"ec_funded":1,"abstract":[{"lang":"eng","text":"We study the Fröhlich polaron model in R3, and establish the subleading term in the strong coupling asymptotics of its ground state energy, corresponding to the quantum corrections to the classical energy determined by the Pekar approximation."}],"oa_version":"Published Version","scopus_import":"1","month":"11","intvolume":" 404"},{"oa":1,"quality_controlled":"1","publisher":"Cambridge University Press","acknowledgement":"This research was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme grant agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie grant agreement No. 665386 (K.M.).","date_created":"2023-07-02T22:00:43Z","doi":"10.1017/fms.2023.45","date_published":"2023-06-13T00:00:00Z","page":"1-52","publication":"Forum of Mathematics","day":"13","year":"2023","has_accepted_license":"1","isi":1,"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"title":"Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron","article_processing_charge":"Yes","external_id":{"arxiv":["2203.02454"],"isi":["001005008800001"]},"author":[{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes"},{"id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof","last_name":"Mysliwy"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"ama":"Mitrouskas DJ, Mysliwy K, Seiringer R. 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The model can be conceptualized as a game where the expansion rate of cultures is quantified in terms of their area and perimeter in such a way that approximately geometrically round cultures get a competitive advantage. We first analyze the model with periodic boundary conditions, where we study how the model can end up in a fixed state, i.e., freezes. Then we implement the model on the European geography with mountains and rivers. 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Elsevier, 2023. https://doi.org/10.1016/j.jfa.2023.109963.","ista":"Feliciangeli D, Gerolin A, Portinale L. 2023. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. Journal of Functional Analysis. 285(4), 109963.","mla":"Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” Journal of Functional Analysis, vol. 285, no. 4, 109963, Elsevier, 2023, doi:10.1016/j.jfa.2023.109963.","ieee":"D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” Journal of Functional Analysis, vol. 285, no. 4. Elsevier, 2023.","short":"D. Feliciangeli, A. Gerolin, L. Portinale, Journal of Functional Analysis 285 (2023).","apa":"Feliciangeli, D., Gerolin, A., & Portinale, L. (2023). A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2023.109963","ama":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. 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Giesbertz for fruitful discussions and literature suggestions in the early state of the project. The authors also thank J. Maas and R. Seiringer for their feedback and useful comments to a first draft of the article. Finally, we acknowledge the high quality review done by the anonymous referee of our paper, who we would like to thank for the excellent work and constructive feedback.\r\nD.F acknowledges support by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreements No 716117 and No 694227). A.G. acknowledges funding by the HORIZON EUROPE European Research Council under H2020/MSCA-IF “OTmeetsDFT” [grant ID: 795942] as well as partial support of his research by the Canada Research Chairs Program (ID 2021-00234) and Natural Sciences and Engineering Research Council of Canada, RGPIN-2022-05207. L.P. acknowledges support by the Austrian Science Fund (FWF), grants No W1245 and No F65, and by the Deutsche Forschungsgemeinschaft (DFG) - Project number 390685813.","quality_controlled":"1","publisher":"Elsevier","oa":1,"day":"15","publication":"Journal of Functional Analysis","isi":1,"year":"2023","date_published":"2023-08-15T00:00:00Z","doi":"10.1016/j.jfa.2023.109963","date_created":"2023-05-07T22:01:02Z","_id":"12911","status":"public","type":"journal_article","article_type":"original","date_updated":"2023-11-14T13:21:01Z","department":[{"_id":"RoSe"},{"_id":"JaMa"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting the problem of computing the ground-state energy of a finite-dimensional composite quantum system at positive temperature as a non-commutative entropy regularized Optimal Transport problem. We develop a new approach to fully characterize the dual-primal solutions in such non-commutative setting. The mathematical formalism is particularly relevant in quantum chemistry: numerical realizations of the many-electron ground-state energy can be computed via a non-commutative version of Sinkhorn algorithm. Our approach allows to prove convergence and robustness of this algorithm, which, to our best knowledge, were unknown even in the two marginal case. Our methods are based on a priori estimates in the dual problem, which we believe to be of independent interest. Finally, the above results are extended in 1RDMFT setting, where bosonic or fermionic symmetry conditions are enforced on the problem."}],"month":"08","intvolume":" 285","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2106.11217"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"publication_status":"published","issue":"4","volume":285,"related_material":{"record":[{"status":"public","id":"9792","relation":"earlier_version"}]},"ec_funded":1},{"ec_funded":1,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0129-055X"],"eissn":["1793-6659"]},"publication_status":"epub_ahead","month":"10","scopus_import":"1","main_file_link":[{"url":"https://doi.org/10.1142/S0129055X2360005X","open_access":"1"}],"oa_version":"Published Version","abstract":[{"lang":"eng","text":"It is a remarkable property of BCS theory that the ratio of the energy gap at zero temperature Ξ\r\n and the critical temperature Tc is (approximately) given by a universal constant, independent of the microscopic details of the fermionic interaction. This universality has rigorously been proven quite recently in three spatial dimensions and three different limiting regimes: weak coupling, low density and high density. The goal of this short note is to extend the universal behavior to lower dimensions d=1,2 and give an exemplary proof in the weak coupling limit."}],"department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"date_updated":"2023-11-20T10:04:38Z","status":"public","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"14542","date_published":"2023-10-31T00:00:00Z","doi":"10.1142/s0129055x2360005x","date_created":"2023-11-15T23:48:14Z","day":"31","publication":"Reviews in Mathematical Physics","has_accepted_license":"1","year":"2023","publisher":"World Scientific Publishing","quality_controlled":"1","oa":1,"acknowledgement":"We thank Robert Seiringer for comments on the paper. J. H. gratefully acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond”No. 101020331.This research was funded in part by the Austrian Science Fund (FWF) grantnumber I6427.","title":"Universality in low-dimensional BCS theory","author":[{"orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","last_name":"Henheik","first_name":"Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb"},{"id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","first_name":"Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard","last_name":"Lauritsen"},{"id":"5DA90512-D80F-11E9-8994-2E2EE6697425","first_name":"Barbara","last_name":"Roos","full_name":"Roos, Barbara","orcid":"0000-0002-9071-5880"}],"external_id":{"arxiv":["2301.05621"]},"article_processing_charge":"Yes (in subscription journal)","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Henheik, Sven Joscha, et al. “Universality in Low-Dimensional BCS Theory.” Reviews in Mathematical Physics, 2360005, World Scientific Publishing, 2023, doi:10.1142/s0129055x2360005x.","ama":"Henheik SJ, Lauritsen AB, Roos B. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. 2023. doi:10.1142/s0129055x2360005x","apa":"Henheik, S. J., Lauritsen, A. B., & Roos, B. (2023). Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/s0129055x2360005x","ieee":"S. J. Henheik, A. B. Lauritsen, and B. Roos, “Universality in low-dimensional BCS theory,” Reviews in Mathematical Physics. World Scientific Publishing, 2023.","short":"S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics (2023).","chicago":"Henheik, Sven Joscha, Asbjørn Bækgaard Lauritsen, and Barbara Roos. “Universality in Low-Dimensional BCS Theory.” Reviews in Mathematical Physics. World Scientific Publishing, 2023. https://doi.org/10.1142/s0129055x2360005x.","ista":"Henheik SJ, Lauritsen AB, Roos B. 2023. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics., 2360005."},"project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331"},{"_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","name":"Mathematical Challenges in BCS Theory of Superconductivity","grant_number":"I06427"}],"article_number":"2360005 "},{"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","_id":"14662","file_date_updated":"2023-12-11T12:03:12Z","department":[{"_id":"RoSe"}],"ddc":["510"],"date_updated":"2023-12-11T12:12:14Z","intvolume":" 13","month":"11","scopus_import":"1","oa_version":"None","abstract":[{"text":"We consider a class of polaron models, including the Fröhlich model, at zero total\r\nmomentum, and show that at sufficiently weak coupling there are no excited eigenvalues below\r\nthe essential spectrum.","lang":"eng"}],"volume":13,"issue":"3","language":[{"iso":"eng"}],"file":[{"success":1,"file_id":"14677","checksum":"9ce96ca87d56ea9a70d2eb9a32839f8d","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"2023_JST_Seiringer.pdf","date_created":"2023-12-11T12:03:12Z","creator":"dernst","file_size":201513,"date_updated":"2023-12-11T12:03:12Z"}],"publication_status":"published","publication_identifier":{"eissn":["1664-0403"],"issn":["1664-039X"]},"title":"Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling","article_processing_charge":"Yes","external_id":{"arxiv":["2210.17123"]},"author":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ama":"Seiringer R. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory. 2023;13(3):1045-1055. doi:10.4171/JST/469","apa":"Seiringer, R. (2023). Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory. EMS Press. https://doi.org/10.4171/JST/469","short":"R. Seiringer, Journal of Spectral Theory 13 (2023) 1045–1055.","ieee":"R. Seiringer, “Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling,” Journal of Spectral Theory, vol. 13, no. 3. EMS Press, pp. 1045–1055, 2023.","mla":"Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” Journal of Spectral Theory, vol. 13, no. 3, EMS Press, 2023, pp. 1045–55, doi:10.4171/JST/469.","ista":"Seiringer R. 2023. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory. 13(3), 1045–1055.","chicago":"Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” Journal of Spectral Theory. EMS Press, 2023. https://doi.org/10.4171/JST/469."},"oa":1,"publisher":"EMS Press","quality_controlled":"1","date_created":"2023-12-10T23:00:59Z","doi":"10.4171/JST/469","date_published":"2023-11-25T00:00:00Z","page":"1045-1055","publication":"Journal of Spectral Theory","day":"25","year":"2023","has_accepted_license":"1"},{"year":"2023","has_accepted_license":"1","isi":1,"publication":"Archive for Rational Mechanics and Analysis","day":"01","date_created":"2023-07-16T22:01:08Z","date_published":"2023-08-01T00:00:00Z","doi":"10.1007/s00205-023-01893-6","acknowledgement":"RS was supported by the European Research Council under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227). MP acknowledges financial support from the European Research Council under the European Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, Grant Agreement No. 802901). BS acknowledges financial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates” and from the European Research Council through the ERC AdG CLaQS (Grant Agreement No. 834782). NB and MP were supported by Gruppo Nazionale per la Fisica Matematica (GNFM) of Italy. NB was supported by the European Research Council’s Starting Grant FERMIMATH (Grant Agreement No. 101040991).\r\nOpen access funding provided by Università degli Studi di Milano within the CRUI-CARE Agreement.","oa":1,"quality_controlled":"1","publisher":"Springer Nature","citation":{"chicago":"Benedikter, Niels P, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential.” Archive for Rational Mechanics and Analysis. Springer Nature, 2023. https://doi.org/10.1007/s00205-023-01893-6.","ista":"Benedikter NP, Porta M, Schlein B, Seiringer R. 2023. Correlation energy of a weakly interacting Fermi gas with large interaction potential. Archive for Rational Mechanics and Analysis. 247(4), 65.","mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential.” Archive for Rational Mechanics and Analysis, vol. 247, no. 4, 65, Springer Nature, 2023, doi:10.1007/s00205-023-01893-6.","ieee":"N. P. Benedikter, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas with large interaction potential,” Archive for Rational Mechanics and Analysis, vol. 247, no. 4. Springer Nature, 2023.","short":"N.P. Benedikter, M. Porta, B. Schlein, R. Seiringer, Archive for Rational Mechanics and Analysis 247 (2023).","ama":"Benedikter NP, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas with large interaction potential. Archive for Rational Mechanics and Analysis. 2023;247(4). doi:10.1007/s00205-023-01893-6","apa":"Benedikter, N. P., Porta, M., Schlein, B., & Seiringer, R. (2023). Correlation energy of a weakly interacting Fermi gas with large interaction potential. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-023-01893-6"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["001024369000001"],"arxiv":["2106.13185"]},"author":[{"id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","first_name":"Niels P","last_name":"Benedikter","orcid":"0000-0002-1071-6091","full_name":"Benedikter, Niels P"},{"first_name":"Marcello","last_name":"Porta","full_name":"Porta, Marcello"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"title":"Correlation energy of a weakly interacting Fermi gas with large interaction potential","article_number":"65","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"publication_status":"published","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"language":[{"iso":"eng"}],"file":[{"checksum":"2b45828d854a253b14bf7aa196ec55e9","file_id":"14535","success":1,"access_level":"open_access","relation":"main_file","content_type":"application/pdf","date_created":"2023-11-14T13:12:12Z","file_name":"2023_ArchiveRationalMechAnalysis_Benedikter.pdf","creator":"dernst","date_updated":"2023-11-14T13:12:12Z","file_size":851626}],"ec_funded":1,"volume":247,"issue":"4","abstract":[{"text":"Recently the leading order of the correlation energy of a Fermi gas in a coupled mean-field and semiclassical scaling regime has been derived, under the assumption of an interaction potential with a small norm and with compact support in Fourier space. We generalize this result to large interaction potentials, requiring only |⋅|V^∈ℓ1(Z3). Our proof is based on approximate, collective bosonization in three dimensions. Significant improvements compared to recent work include stronger bounds on non-bosonizable terms and more efficient control on the bosonization of the kinetic energy.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 247","month":"08","date_updated":"2023-12-13T11:31:14Z","ddc":["510"],"file_date_updated":"2023-11-14T13:12:12Z","department":[{"_id":"RoSe"}],"_id":"13225","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","status":"public"},{"quality_controlled":"1","publisher":"Springer Nature","acknowledgement":"It is a pleasure to thank Martin Kolb, Simone Rademacher, Robert Seiringer and Stefan Teufel for helpful discussions. Moreover, we thank the referee for many constructive comments. L.B. gratefully acknowledges funding from the German Research Foundation within the Munich Center of Quantum Science and Technology (EXC 2111) and from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. We thank the Mathematical Research Institute Oberwolfach, where part of this work was done, for their hospitality.\r\nOpen Access funding enabled and organized by Projekt DEAL.","date_created":"2023-07-16T22:01:08Z","date_published":"2023-07-03T00:00:00Z","doi":"10.1007/s11005-023-01698-4","publication":"Letters in Mathematical Physics","day":"03","year":"2023","isi":1,"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"article_number":"77","title":"Weak Edgeworth expansion for the mean-field Bose gas","external_id":{"isi":["001022878900002"],"arxiv":["2208.00199"]},"article_processing_charge":"Yes (via OA deal)","author":[{"last_name":"Bossmann","full_name":"Bossmann, Lea","orcid":"0000-0002-6854-1343","first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425"},{"full_name":"Petrat, Sören P","orcid":"0000-0002-9166-5889","last_name":"Petrat","first_name":"Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Bossmann L, Petrat SP. 2023. Weak Edgeworth expansion for the mean-field Bose gas. Letters in Mathematical Physics. 113(4), 77.","chicago":"Bossmann, Lea, and Sören P Petrat. “Weak Edgeworth Expansion for the Mean-Field Bose Gas.” Letters in Mathematical Physics. Springer Nature, 2023. https://doi.org/10.1007/s11005-023-01698-4.","short":"L. Bossmann, S.P. Petrat, Letters in Mathematical Physics 113 (2023).","ieee":"L. Bossmann and S. P. Petrat, “Weak Edgeworth expansion for the mean-field Bose gas,” Letters in Mathematical Physics, vol. 113, no. 4. Springer Nature, 2023.","apa":"Bossmann, L., & Petrat, S. P. (2023). Weak Edgeworth expansion for the mean-field Bose gas. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-023-01698-4","ama":"Bossmann L, Petrat SP. Weak Edgeworth expansion for the mean-field Bose gas. Letters in Mathematical Physics. 2023;113(4). doi:10.1007/s11005-023-01698-4","mla":"Bossmann, Lea, and Sören P. Petrat. “Weak Edgeworth Expansion for the Mean-Field Bose Gas.” Letters in Mathematical Physics, vol. 113, no. 4, 77, Springer Nature, 2023, doi:10.1007/s11005-023-01698-4."},"intvolume":" 113","month":"07","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We consider the ground state and the low-energy excited states of a system of N identical bosons with interactions in the mean-field scaling regime. For the ground state, we derive a weak Edgeworth expansion for the fluctuations of bounded one-body operators, which yields corrections to a central limit theorem to any order in 1/N−−√. For suitable excited states, we show that the limiting distribution is a polynomial times a normal distribution, and that higher-order corrections are given by an Edgeworth-type expansion."}],"ec_funded":1,"volume":113,"issue":"4","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"status":"public","type":"journal_article","article_type":"original","_id":"13226","department":[{"_id":"RoSe"}],"date_updated":"2023-12-13T11:31:50Z"},{"article_number":"17","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ama":"Lampart J, Mitrouskas DJ, Mysliwy K. On the global minimum of the energy–momentum relation for the polaron. Mathematical Physics, Analysis and Geometry. 2023;26(3). doi:10.1007/s11040-023-09460-x","apa":"Lampart, J., Mitrouskas, D. J., & Mysliwy, K. (2023). On the global minimum of the energy–momentum relation for the polaron. Mathematical Physics, Analysis and Geometry. Springer Nature. https://doi.org/10.1007/s11040-023-09460-x","short":"J. Lampart, D.J. Mitrouskas, K. Mysliwy, Mathematical Physics, Analysis and Geometry 26 (2023).","ieee":"J. Lampart, D. J. Mitrouskas, and K. Mysliwy, “On the global minimum of the energy–momentum relation for the polaron,” Mathematical Physics, Analysis and Geometry, vol. 26, no. 3. Springer Nature, 2023.","mla":"Lampart, Jonas, et al. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” Mathematical Physics, Analysis and Geometry, vol. 26, no. 3, 17, Springer Nature, 2023, doi:10.1007/s11040-023-09460-x.","ista":"Lampart J, Mitrouskas DJ, Mysliwy K. 2023. On the global minimum of the energy–momentum relation for the polaron. Mathematical Physics, Analysis and Geometry. 26(3), 17.","chicago":"Lampart, Jonas, David Johannes Mitrouskas, and Krzysztof Mysliwy. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” Mathematical Physics, Analysis and Geometry. Springer Nature, 2023. https://doi.org/10.1007/s11040-023-09460-x."},"title":"On the global minimum of the energy–momentum relation for the polaron","author":[{"full_name":"Lampart, Jonas","last_name":"Lampart","first_name":"Jonas"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes"},{"first_name":"Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","last_name":"Mysliwy","full_name":"Mysliwy, Krzysztof"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2206.14708"],"isi":["001032992600001"]},"acknowledgement":"D.M. and K.M. thank Robert Seiringer for helpful discussions. Open access funding provided by Institute of Science and Technology (IST Austria). Financial support from the Agence Nationale de la Recherche (ANR) through the projects ANR-17-CE40-0016, ANR-17-CE40-0007-01, ANR-17-EURE-0002 (J.L.) and from the European Union’s Horizon 2020 research and innovation programme under the Maria Skłodowska-Curie grant agreement No. 665386 (K.M.) is gratefully acknowledged.","publisher":"Springer Nature","quality_controlled":"1","oa":1,"day":"26","publication":"Mathematical Physics, Analysis and Geometry","has_accepted_license":"1","isi":1,"year":"2023","doi":"10.1007/s11040-023-09460-x","date_published":"2023-07-26T00:00:00Z","date_created":"2023-08-22T14:09:47Z","_id":"14192","status":"public","keyword":["Geometry and Topology","Mathematical Physics"],"type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ddc":["510"],"date_updated":"2023-12-13T12:16:19Z","file_date_updated":"2023-08-23T10:59:15Z","department":[{"_id":"RoSe"}],"oa_version":"Published Version","abstract":[{"text":"For the Fröhlich model of the large polaron, we prove that the ground state energy as a function of the total momentum has a unique global minimum at momentum zero. This implies the non-existence of a ground state of the translation invariant Fröhlich Hamiltonian and thus excludes the possibility of a localization transition at finite coupling.","lang":"eng"}],"month":"07","intvolume":" 26","scopus_import":"1","file":[{"content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"f0941cc66cb3ed06a12ca4b7e356cfd6","file_id":"14225","success":1,"date_updated":"2023-08-23T10:59:15Z","file_size":317026,"creator":"dernst","date_created":"2023-08-23T10:59:15Z","file_name":"2023_MathPhysics_Lampart.pdf"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1572-9656"],"issn":["1385-0172"]},"publication_status":"published","volume":26,"issue":"3"},{"issue":"12","volume":64,"publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"publication_status":"published","file":[{"content_type":"application/pdf","access_level":"open_access","relation":"main_file","file_id":"14722","checksum":"66572f718a36465576cf0d6b3f7e01fc","success":1,"date_updated":"2024-01-02T08:45:07Z","file_size":4346922,"creator":"dernst","date_created":"2024-01-02T08:45:07Z","file_name":"2023_JourMathPhysics_Mitrouskas.pdf"}],"language":[{"iso":"eng"}],"scopus_import":"1","month":"12","intvolume":" 64","abstract":[{"lang":"eng","text":"We consider N trapped bosons in the mean-field limit with coupling constant λN = 1/(N − 1). The ground state of such systems exhibits Bose–Einstein condensation. We prove that the probability of finding ℓ particles outside the condensate wave function decays exponentially in ℓ."}],"oa_version":"Published Version","file_date_updated":"2024-01-02T08:45:07Z","department":[{"_id":"RoSe"}],"date_updated":"2024-01-02T08:51:28Z","ddc":["510"],"article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","_id":"14715","date_published":"2023-12-01T00:00:00Z","doi":"10.1063/5.0172199","date_created":"2023-12-31T23:01:02Z","has_accepted_license":"1","year":"2023","day":"01","publication":"Journal of Mathematical Physics","quality_controlled":"1","publisher":"AIP Publishing","oa":1,"acknowledgement":"We thank Lea Boßmann, Phan Thành Nam and Simone Rademacher for helpful remarks. P.P. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - Grant No. SFB/TRR 352 “Mathematics of Many-Body Quantum Systems and Their Collective Phenomena.”","author":[{"last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes"},{"first_name":"Peter","full_name":"Pickl, Peter","last_name":"Pickl"}],"external_id":{"arxiv":["2307.11062"]},"article_processing_charge":"Yes (in subscription journal)","title":"Exponential decay of the number of excitations in the weakly interacting Bose gas","citation":{"mla":"Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the Number of Excitations in the Weakly Interacting Bose Gas.” Journal of Mathematical Physics, vol. 64, no. 12, 121901, AIP Publishing, 2023, doi:10.1063/5.0172199.","ieee":"D. J. Mitrouskas and P. Pickl, “Exponential decay of the number of excitations in the weakly interacting Bose gas,” Journal of Mathematical Physics, vol. 64, no. 12. AIP Publishing, 2023.","short":"D.J. Mitrouskas, P. Pickl, Journal of Mathematical Physics 64 (2023).","ama":"Mitrouskas DJ, Pickl P. Exponential decay of the number of excitations in the weakly interacting Bose gas. Journal of Mathematical Physics. 2023;64(12). doi:10.1063/5.0172199","apa":"Mitrouskas, D. J., & Pickl, P. (2023). Exponential decay of the number of excitations in the weakly interacting Bose gas. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0172199","chicago":"Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the Number of Excitations in the Weakly Interacting Bose Gas.” Journal of Mathematical Physics. AIP Publishing, 2023. https://doi.org/10.1063/5.0172199.","ista":"Mitrouskas DJ, Pickl P. 2023. Exponential decay of the number of excitations in the weakly interacting Bose gas. Journal of Mathematical Physics. 64(12), 121901."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_number":"121901"},{"keyword":["General Medicine"],"status":"public","article_type":"original","type":"journal_article","_id":"14854","department":[{"_id":"RoSe"}],"title":"Ubiquity of bound states for the strongly coupled polaron","article_processing_charge":"No","author":[{"full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Mitrouskas DJ, Seiringer R. 2023. Ubiquity of bound states for the strongly coupled polaron. Pure and Applied Analysis. 5(4), 973–1008.","chicago":"Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/paa.2023.5.973.","short":"D.J. Mitrouskas, R. Seiringer, Pure and Applied Analysis 5 (2023) 973–1008.","ieee":"D. J. Mitrouskas and R. Seiringer, “Ubiquity of bound states for the strongly coupled polaron,” Pure and Applied Analysis, vol. 5, no. 4. Mathematical Sciences Publishers, pp. 973–1008, 2023.","apa":"Mitrouskas, D. J., & Seiringer, R. (2023). Ubiquity of bound states for the strongly coupled polaron. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2023.5.973","ama":"Mitrouskas DJ, Seiringer R. Ubiquity of bound states for the strongly coupled polaron. Pure and Applied Analysis. 2023;5(4):973-1008. doi:10.2140/paa.2023.5.973","mla":"Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” Pure and Applied Analysis, vol. 5, no. 4, Mathematical Sciences Publishers, 2023, pp. 973–1008, doi:10.2140/paa.2023.5.973."},"date_updated":"2024-01-23T12:55:12Z","intvolume":" 5","month":"12","publisher":"Mathematical Sciences Publishers","quality_controlled":"1","oa_version":"None","abstract":[{"lang":"eng","text":"\r\nAbstract\r\nWe study the spectrum of the Fröhlich Hamiltonian for the polaron at fixed total momentum. We prove the existence of excited eigenvalues between the ground state energy and the essential spectrum at strong coupling. In fact, our main result shows that the number of excited energy bands diverges in the strong coupling limit. To prove this we derive upper bounds for the min-max values of the corresponding fiber Hamiltonians and compare them with the bottom of the essential spectrum, a lower bound on which was recently obtained by Brooks and Seiringer (Comm. Math. Phys. 404:1 (2023), 287–337). The upper bounds are given in terms of the ground state energy band shifted by momentum-independent excitation energies determined by an effective Hamiltonian of Bogoliubov type."}],"date_created":"2024-01-22T08:24:23Z","volume":5,"date_published":"2023-12-15T00:00:00Z","doi":"10.2140/paa.2023.5.973","issue":"4","page":"973-1008","language":[{"iso":"eng"}],"publication":"Pure and Applied Analysis","day":"15","publication_status":"published","year":"2023","publication_identifier":{"issn":["2578-5885","2578-5893"]}},{"file":[{"date_updated":"2024-01-30T14:15:16Z","file_size":232934,"creator":"dernst","date_created":"2024-01-30T14:15:16Z","file_name":"2023_JourFunctionalAnalysis_Seiringer.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","file_id":"14915","checksum":"28e424ad91be6219e9d321054ce3a412","success":1}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"publication_status":"published","volume":285,"issue":"10","oa_version":"Published Version","abstract":[{"text":"In [10] Nam proved a Lieb–Thirring Inequality for the kinetic energy of a fermionic quantum system, with almost optimal (semi-classical) constant and a gradient correction term. We present a stronger version of this inequality, with a much simplified proof. As a corollary we obtain a simple proof of the original Lieb–Thirring inequality.","lang":"eng"}],"month":"11","intvolume":" 285","scopus_import":"1","ddc":["510"],"date_updated":"2024-01-30T14:17:23Z","file_date_updated":"2024-01-30T14:15:16Z","department":[{"_id":"RoSe"}],"_id":"14254","status":"public","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"15","publication":"Journal of Functional Analysis","has_accepted_license":"1","isi":1,"year":"2023","doi":"10.1016/j.jfa.2023.110129","date_published":"2023-11-15T00:00:00Z","date_created":"2023-09-03T22:01:14Z","acknowledgement":"J.P.S. thanks the Institute of Science and Technology Austria for the hospitality and support during a visit where this work was done. J.P.S. was also partially supported by the VILLUM Centre of Excellence for the Mathematics of Quantum Theory (QMATH) (grant No. 10059).","quality_controlled":"1","publisher":"Elsevier","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” Journal of Functional Analysis. Elsevier, 2023. https://doi.org/10.1016/j.jfa.2023.110129.","ista":"Seiringer R, Solovej JP. 2023. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 285(10), 110129.","mla":"Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” Journal of Functional Analysis, vol. 285, no. 10, 110129, Elsevier, 2023, doi:10.1016/j.jfa.2023.110129.","apa":"Seiringer, R., & Solovej, J. P. (2023). A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2023.110129","ama":"Seiringer R, Solovej JP. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 2023;285(10). doi:10.1016/j.jfa.2023.110129","short":"R. Seiringer, J.P. Solovej, Journal of Functional Analysis 285 (2023).","ieee":"R. Seiringer and J. P. Solovej, “A simple approach to Lieb-Thirring type inequalities,” Journal of Functional Analysis, vol. 285, no. 10. Elsevier, 2023."},"title":"A simple approach to Lieb-Thirring type inequalities","author":[{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"},{"last_name":"Solovej","full_name":"Solovej, Jan Philip","first_name":"Jan Philip"}],"external_id":{"arxiv":["2303.04504"],"isi":["001071552300001"]},"article_processing_charge":"Yes (via OA deal)","article_number":"110129"},{"citation":{"ista":"Lewin M, Lieb EH, Seiringer R. 2023.Universal Functionals in Density Functional Theory. In: Density Functional Theory. Mathematics and Molecular Modeling, , 115–182.","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Universal Functionals in Density Functional Theory.” In Density Functional Theory, edited by Eric Cances and Gero Friesecke, 1st ed., 115–82. MAMOMO. Springer, 2023. https://doi.org/10.1007/978-3-031-22340-2_3.","ama":"Lewin M, Lieb EH, Seiringer R. Universal Functionals in Density Functional Theory. In: Cances E, Friesecke G, eds. Density Functional Theory. 1st ed. MAMOMO. Springer; 2023:115-182. doi:10.1007/978-3-031-22340-2_3","apa":"Lewin, M., Lieb, E. H., & Seiringer, R. (2023). Universal Functionals in Density Functional Theory. In E. Cances & G. Friesecke (Eds.), Density Functional Theory (1st ed., pp. 115–182). Springer. https://doi.org/10.1007/978-3-031-22340-2_3","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Universal Functionals in Density Functional Theory,” in Density Functional Theory, 1st ed., E. Cances and G. Friesecke, Eds. Springer, 2023, pp. 115–182.","short":"M. Lewin, E.H. Lieb, R. Seiringer, in:, E. Cances, G. Friesecke (Eds.), Density Functional Theory, 1st ed., Springer, 2023, pp. 115–182.","mla":"Lewin, Mathieu, et al. “Universal Functionals in Density Functional Theory.” Density Functional Theory, edited by Eric Cances and Gero Friesecke, 1st ed., Springer, 2023, pp. 115–82, doi:10.1007/978-3-031-22340-2_3."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"full_name":"Lewin, Mathieu","last_name":"Lewin","first_name":"Mathieu"},{"first_name":"Elliott H.","full_name":"Lieb, Elliott H.","last_name":"Lieb"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"article_processing_charge":"No","external_id":{"arxiv":["1912.10424"]},"editor":[{"first_name":"Eric","last_name":"Cances","full_name":"Cances, Eric"},{"full_name":"Friesecke, Gero","last_name":"Friesecke","first_name":"Gero"}],"title":"Universal Functionals in Density Functional Theory","year":"2023","day":"19","publication":"Density Functional Theory","page":"115-182","date_published":"2023-07-19T00:00:00Z","doi":"10.1007/978-3-031-22340-2_3","date_created":"2024-02-14T14:44:33Z","publisher":"Springer","quality_controlled":"1","edition":"1","oa":1,"date_updated":"2024-02-20T08:33:06Z","department":[{"_id":"RoSe"}],"series_title":"MAMOMO","_id":"14992","type":"book_chapter","status":"public","publication_identifier":{"isbn":["9783031223396"],"issn":["3005-0286"],"eisbn":["9783031223402"]},"publication_status":"published","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"In this chapter we first review the Levy–Lieb functional, which gives the lowest kinetic and interaction energy that can be reached with all possible quantum states having a given density. We discuss two possible convex generalizations of this functional, corresponding to using mixed canonical and grand-canonical states, respectively. We present some recent works about the local density approximation, in which the functionals get replaced by purely local functionals constructed using the uniform electron gas energy per unit volume. We then review the known upper and lower bounds on the Levy–Lieb functionals. We start with the kinetic energy alone, then turn to the classical interaction alone, before we are able to put everything together. A later section is devoted to the Hohenberg–Kohn theorem and the role of many-body unique continuation in its proof."}],"oa_version":"Preprint","alternative_title":["Mathematics and Molecular Modeling"],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1912.10424","open_access":"1"}],"month":"07"},{"language":[{"iso":"eng"}],"file":[{"file_name":"2022_PRXQuantum_Ljubotina.pdf","date_created":"2023-01-30T11:02:50Z","creator":"dernst","file_size":7661905,"date_updated":"2023-01-30T11:02:50Z","success":1,"checksum":"ef8f0a1b5a019b3958009162de0fa4c3","file_id":"12457","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"publication_status":"published","publication_identifier":{"eissn":["2691-3399"]},"ec_funded":1,"issue":"3","volume":3,"oa_version":"Published Version","abstract":[{"lang":"eng","text":"Ongoing development of quantum simulators allows for a progressively finer degree of control of quantum many-body systems. This motivates the development of efficient approaches to facilitate the control of such systems and enable the preparation of nontrivial quantum states. Here we formulate an approach to control quantum systems based on matrix product states (MPSs). We compare counterdiabatic and leakage minimization approaches to the so-called local steering problem that consists in finding the best value of the control parameters for generating a unitary evolution of the specific MPS in a given direction. In order to benchmark the different approaches, we apply them to the generalization of the PXP model known to exhibit coherent quantum dynamics due to quantum many-body scars. We find that the leakage-based approach generally outperforms the counterdiabatic framework and use it to construct a Floquet model with quantum scars. We perform the first steps towards global trajectory optimization and demonstrate entanglement steering capabilities in the generalized PXP model. Finally, we apply our leakage minimization approach to construct quantum scars in the periodically driven nonintegrable Ising model."}],"intvolume":" 3","month":"09","scopus_import":"1","ddc":["530"],"date_updated":"2023-01-30T11:05:23Z","file_date_updated":"2023-01-30T11:02:50Z","department":[{"_id":"MaSe"},{"_id":"RoSe"}],"_id":"12276","keyword":["General Medicine"],"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","publication":"PRX Quantum","day":"23","year":"2022","has_accepted_license":"1","date_created":"2023-01-16T10:01:56Z","doi":"10.1103/prxquantum.3.030343","date_published":"2022-09-23T00:00:00Z","acknowledgement":"We thank A. A. Michailidis for insightful discussions. M.L. and M.S. acknowledge support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 850899). D.A. is supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 864597) and by the Swiss National Science Foundation. The infinite TEBD simulations were performed using the ITensor library [67].","oa":1,"quality_controlled":"1","publisher":"American Physical Society","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Ljubotina M, Roos B, Abanin DA, Serbyn M. 2022. Optimal steering of matrix product states and quantum many-body scars. PRX Quantum. 3(3), 030343.","chicago":"Ljubotina, Marko, Barbara Roos, Dmitry A. Abanin, and Maksym Serbyn. “Optimal Steering of Matrix Product States and Quantum Many-Body Scars.” PRX Quantum. American Physical Society, 2022. https://doi.org/10.1103/prxquantum.3.030343.","short":"M. Ljubotina, B. Roos, D.A. Abanin, M. Serbyn, PRX Quantum 3 (2022).","ieee":"M. Ljubotina, B. Roos, D. A. Abanin, and M. Serbyn, “Optimal steering of matrix product states and quantum many-body scars,” PRX Quantum, vol. 3, no. 3. American Physical Society, 2022.","ama":"Ljubotina M, Roos B, Abanin DA, Serbyn M. Optimal steering of matrix product states and quantum many-body scars. PRX Quantum. 2022;3(3). doi:10.1103/prxquantum.3.030343","apa":"Ljubotina, M., Roos, B., Abanin, D. A., & Serbyn, M. (2022). Optimal steering of matrix product states and quantum many-body scars. PRX Quantum. American Physical Society. https://doi.org/10.1103/prxquantum.3.030343","mla":"Ljubotina, Marko, et al. “Optimal Steering of Matrix Product States and Quantum Many-Body Scars.” PRX Quantum, vol. 3, no. 3, 030343, American Physical Society, 2022, doi:10.1103/prxquantum.3.030343."},"title":"Optimal steering of matrix product states and quantum many-body scars","external_id":{"arxiv":["2204.02899"]},"article_processing_charge":"No","author":[{"full_name":"Ljubotina, Marko","last_name":"Ljubotina","id":"F75EE9BE-5C90-11EA-905D-16643DDC885E","first_name":"Marko"},{"id":"5DA90512-D80F-11E9-8994-2E2EE6697425","first_name":"Barbara","full_name":"Roos, Barbara","orcid":"0000-0002-9071-5880","last_name":"Roos"},{"last_name":"Abanin","full_name":"Abanin, Dmitry A.","first_name":"Dmitry A."},{"last_name":"Serbyn","orcid":"0000-0002-2399-5827","full_name":"Serbyn, Maksym","first_name":"Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87"}],"article_number":"030343","project":[{"call_identifier":"H2020","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","grant_number":"850899"}]},{"has_accepted_license":"1","isi":1,"year":"2022","day":"10","publication":"Journal of Mathematical Physics","date_published":"2022-06-10T00:00:00Z","doi":"10.1063/5.0089983","date_created":"2022-08-11T06:37:52Z","acknowledgement":"The author thanks Nataˇsa Pavlovic, Sören Petrat, Peter Pickl, Robert Seiringer, and Avy Soffer for the collaboration on Refs. 1, 2 and 21. Funding from the European Union’s Horizon 2020 Research and Innovation Programme under Marie Skℓodowska-Curie Grant Agreement\r\nNo. 754411 is gratefully acknowledged.","quality_controlled":"1","publisher":"AIP Publishing","oa":1,"citation":{"chicago":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” Journal of Mathematical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0089983.","ista":"Bossmann L. 2022. Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. 63(6), 061102.","mla":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” Journal of Mathematical Physics, vol. 63, no. 6, 061102, AIP Publishing, 2022, doi:10.1063/5.0089983.","short":"L. Bossmann, Journal of Mathematical Physics 63 (2022).","ieee":"L. Bossmann, “Low-energy spectrum and dynamics of the weakly interacting Bose gas,” Journal of Mathematical Physics, vol. 63, no. 6. AIP Publishing, 2022.","apa":"Bossmann, L. (2022). Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0089983","ama":"Bossmann L. Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. 2022;63(6). doi:10.1063/5.0089983"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","last_name":"Bossmann","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea"}],"external_id":{"arxiv":["2203.00730"],"isi":["000809648100002"]},"article_processing_charge":"Yes (via OA deal)","title":"Low-energy spectrum and dynamics of the weakly interacting Bose gas","article_number":"061102","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"publication_status":"published","file":[{"file_name":"2022_JourMathPhysics_Bossmann.pdf","date_created":"2022-08-11T07:03:02Z","creator":"dernst","file_size":5957888,"date_updated":"2022-08-11T07:03:02Z","success":1,"file_id":"11784","checksum":"d0d32c338c1896680174be88c70968fa","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"language":[{"iso":"eng"}],"issue":"6","volume":63,"ec_funded":1,"abstract":[{"lang":"eng","text":"We consider a gas of N bosons with interactions in the mean-field scaling regime. We review the proof of an asymptotic expansion of its low-energy spectrum, eigenstates, and dynamics, which provides corrections to Bogoliubov theory to all orders in 1/ N. This is based on joint works with Petrat, Pickl, Seiringer, and Soffer. In addition, we derive a full asymptotic expansion of the ground state one-body reduced density matrix."}],"oa_version":"Published Version","scopus_import":"1","month":"06","intvolume":" 63","date_updated":"2023-08-03T12:46:28Z","ddc":["530"],"department":[{"_id":"RoSe"}],"file_date_updated":"2022-08-11T07:03:02Z","_id":"11783","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"]},{"_id":"11917","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"status":"public","date_updated":"2023-08-03T12:55:58Z","ddc":["510"],"department":[{"_id":"RoSe"}],"file_date_updated":"2022-08-18T08:09:00Z","abstract":[{"lang":"eng","text":"We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the condensate. We derive an upper bound extending a recent result to more general interactions. Furthermore, we derive a new lower bound which agrees with the upper bound in leading order."}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 188","month":"07","publication_status":"published","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"language":[{"iso":"eng"}],"file":[{"date_created":"2022-08-18T08:09:00Z","file_name":"2022_JournalStatisticalPhysics_Rademacher.pdf","date_updated":"2022-08-18T08:09:00Z","file_size":483481,"creator":"dernst","checksum":"44418cb44f07fa21ed3907f85abf7f39","file_id":"11922","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"ec_funded":1,"volume":188,"article_number":"9","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"citation":{"apa":"Rademacher, S. A. E., & Seiringer, R. (2022). Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02940-4","ama":"Rademacher SAE, Seiringer R. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 2022;188. doi:10.1007/s10955-022-02940-4","ieee":"S. A. E. Rademacher and R. Seiringer, “Large deviation estimates for weakly interacting bosons,” Journal of Statistical Physics, vol. 188. Springer Nature, 2022.","short":"S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).","mla":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics, vol. 188, 9, Springer Nature, 2022, doi:10.1007/s10955-022-02940-4.","ista":"Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 188, 9.","chicago":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02940-4."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","external_id":{"isi":["000805175000001"]},"article_processing_charge":"Yes (via OA deal)","author":[{"first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"title":"Large deviation estimates for weakly interacting bosons","acknowledgement":"The authors thank Gérard Ben Arous for pointing out the question of a lower bound. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No. 694227 (R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged.\r\nOpen access funding provided by IST Austria.","oa":1,"publisher":"Springer Nature","quality_controlled":"1","year":"2022","isi":1,"has_accepted_license":"1","publication":"Journal of Statistical Physics","day":"01","date_created":"2022-08-18T07:23:26Z","date_published":"2022-07-01T00:00:00Z","doi":"10.1007/s10955-022-02940-4"},{"citation":{"mla":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” Journal of Mathematical Physics, vol. 63, no. 8, 081902, AIP Publishing, 2022, doi:10.1063/5.0086712.","ieee":"S. A. E. Rademacher, “Dependent random variables in quantum dynamics,” Journal of Mathematical Physics, vol. 63, no. 8. AIP Publishing, 2022.","short":"S.A.E. Rademacher, Journal of Mathematical Physics 63 (2022).","ama":"Rademacher SAE. Dependent random variables in quantum dynamics. Journal of Mathematical Physics. 2022;63(8). doi:10.1063/5.0086712","apa":"Rademacher, S. A. E. (2022). Dependent random variables in quantum dynamics. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0086712","chicago":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” Journal of Mathematical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0086712.","ista":"Rademacher SAE. 2022. Dependent random variables in quantum dynamics. Journal of Mathematical Physics. 63(8), 081902."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466"}],"article_processing_charge":"No","external_id":{"isi":["000844402500001"],"arxiv":["2112.04817"]},"title":"Dependent random variables in quantum dynamics","article_number":"081902","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"isi":1,"has_accepted_license":"1","year":"2022","day":"25","publication":"Journal of Mathematical Physics","doi":"10.1063/5.0086712","date_published":"2022-08-25T00:00:00Z","date_created":"2022-09-11T22:01:56Z","acknowledgement":"S.R. would like to thank Robert Seiringer and Benedikt Stufler for helpful discussions. Funding from the European Union’s Horizon 2020 Research and Innovation Program under the ERC grant (Grant Agreement No. 694227) and under the Marie Skłodowska-Curie grant (Agreement No. 754411) is acknowledged.","quality_controlled":"1","publisher":"AIP Publishing","oa":1,"date_updated":"2023-08-03T13:57:19Z","ddc":["510"],"department":[{"_id":"RoSe"}],"file_date_updated":"2022-09-12T07:35:34Z","_id":"12083","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","publication_identifier":{"issn":["0022-2488"]},"publication_status":"published","file":[{"checksum":"e6fb0cf3f0327739c5e69a2cfc4020eb","file_id":"12089","success":1,"access_level":"open_access","relation":"main_file","content_type":"application/pdf","date_created":"2022-09-12T07:35:34Z","file_name":"2022_JourMathPhysics_Rademacher.pdf","creator":"dernst","date_updated":"2022-09-12T07:35:34Z","file_size":4552261}],"language":[{"iso":"eng"}],"volume":63,"issue":"8","ec_funded":1,"abstract":[{"text":"We consider the many-body time evolution of weakly interacting bosons in the mean field regime for initial coherent states. We show that bounded k-particle operators, corresponding to dependent random variables, satisfy both a law of large numbers and a central limit theorem.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","month":"08","intvolume":" 63"},{"related_material":{"record":[{"relation":"part_of_dissertation","id":"9005","status":"public"}]},"ec_funded":1,"publication_identifier":{"issn":["2663-337X"]},"publication_status":"published","degree_awarded":"PhD","file":[{"date_created":"2023-01-26T10:02:34Z","file_name":"Brooks_Thesis.pdf","creator":"cchlebak","date_updated":"2023-01-26T10:02:34Z","file_size":3095225,"checksum":"b31460e937f33b557abb40ebef02b567","file_id":"12391","success":1,"access_level":"open_access","relation":"main_file","content_type":"application/pdf"},{"access_level":"closed","relation":"source_file","content_type":"application/octet-stream","file_id":"12392","checksum":"9751869fa5e7981588ad4228f4fd4bd6","creator":"cchlebak","date_updated":"2023-01-26T10:02:42Z","file_size":809842,"date_created":"2023-01-26T10:02:42Z","file_name":"Brooks_Thesis.tex"}],"language":[{"iso":"eng"}],"alternative_title":["ISTA Thesis"],"month":"12","abstract":[{"lang":"eng","text":"The scope of this thesis is to study quantum systems exhibiting a continuous symmetry that\r\nis broken on the level of the corresponding effective theory. In particular we are going to\r\ninvestigate translation-invariant Bose gases in the mean field limit, effectively described by\r\nthe Hartree functional, and the Fröhlich Polaron in the regime of strong coupling, effectively\r\ndescribed by the Pekar functional. The latter is a model describing the interaction between a\r\ncharged particle and the optical modes of a polar crystal. Regarding the former, we assume in\r\naddition that the particles in the gas are unconfined, and typically we will consider particles\r\nthat are subject to an attractive interaction. In both cases the ground state energy of the\r\nHamiltonian is not a proper eigenvalue due to the underlying translation-invariance, while on\r\nthe contrary there exists a whole invariant orbit of minimizers for the corresponding effective\r\nfunctionals. Both, the absence of proper eigenstates and the broken symmetry of the effective\r\ntheory, make the study significantly more involved and it is the content of this thesis to\r\ndevelop a frameworks which allows for a systematic way to circumvent these issues.\r\nIt is a well-established result that the ground state energy of Bose gases in the mean field limit,\r\nas well as the ground state energy of the Fröhlich Polaron in the regime of strong coupling, is\r\nto leading order given by the minimal energy of the corresponding effective theory. As part\r\nof this thesis we identify the sub-leading term in the expansion of the ground state energy,\r\nwhich can be interpreted as the quantum correction to the classical energy, since the effective\r\ntheories under consideration can be seen as classical counterparts.\r\nWe are further going to establish an asymptotic expression for the energy-momentum relation\r\nof the Fröhlich Polaron in the strong coupling limit. In the regime of suitably small momenta,\r\nthis asymptotic expression agrees with the energy-momentum relation of a free particle having\r\nan effectively increased mass, and we find that this effectively increased mass agrees with the\r\nconjectured value in the physics literature.\r\nIn addition we will discuss two unrelated papers written by the author during his stay at ISTA\r\nin the appendix. The first one concerns the realization of anyons, which are quasi-particles\r\nacquiring a non-trivial phase under the exchange of two particles, as molecular impurities.\r\nThe second one provides a classification of those vector fields defined on a given manifold\r\nthat can be written as the gradient of a given functional with respect to a suitable metric,\r\nprovided that some mild smoothness assumptions hold. This classification is subsequently\r\nused to identify those quantum Markov semigroups that can be written as a gradient flow of\r\nthe relative entropy.\r\n"}],"oa_version":"Published Version","file_date_updated":"2023-01-26T10:02:42Z","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"date_updated":"2023-08-07T13:32:09Z","ddc":["500"],"type":"dissertation","tmp":{"name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","image":"/images/cc_by_nc_sa.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","short":"CC BY-NC-SA (4.0)"},"status":"public","_id":"12390","page":"196","doi":"10.15479/at:ista:12390","date_published":"2022-12-15T00:00:00Z","date_created":"2023-01-26T10:00:42Z","has_accepted_license":"1","year":"2022","day":"15","publisher":"Institute of Science and Technology Austria","oa":1,"author":[{"full_name":"Brooks, Morris","orcid":"0000-0002-6249-0928","last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","first_name":"Morris"}],"article_processing_charge":"No","title":"Translation-invariant quantum systems with effectively broken symmetry","citation":{"chicago":"Brooks, Morris. “Translation-Invariant Quantum Systems with Effectively Broken Symmetry.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:12390.","ista":"Brooks M. 2022. Translation-invariant quantum systems with effectively broken symmetry. Institute of Science and Technology Austria.","mla":"Brooks, Morris. Translation-Invariant Quantum Systems with Effectively Broken Symmetry. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:12390.","ama":"Brooks M. Translation-invariant quantum systems with effectively broken symmetry. 2022. doi:10.15479/at:ista:12390","apa":"Brooks, M. (2022). Translation-invariant quantum systems with effectively broken symmetry. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12390","short":"M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022.","ieee":"M. Brooks, “Translation-invariant quantum systems with effectively broken symmetry,” Institute of Science and Technology Austria, 2022."},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}]},{"article_number":"5","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020"}],"citation":{"chicago":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02965-9.","ista":"Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5.","mla":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics, vol. 189, 5, Springer Nature, 2022, doi:10.1007/s10955-022-02965-9.","ama":"Henheik SJ, Lauritsen AB. The BCS energy gap at high density. Journal of Statistical Physics. 2022;189. doi:10.1007/s10955-022-02965-9","apa":"Henheik, S. J., & Lauritsen, A. B. (2022). The BCS energy gap at high density. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02965-9","short":"S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).","ieee":"S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” Journal of Statistical Physics, vol. 189. Springer Nature, 2022."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha","last_name":"Henheik","full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X"},{"last_name":"Lauritsen","orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","first_name":"Asbjørn Bækgaard"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000833007200002"]},"title":"The BCS energy gap at high density","acknowledgement":"We are grateful to Robert Seiringer for helpful discussions and many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open access funding provided by Institute of Science and Technology (IST Austria)","quality_controlled":"1","publisher":"Springer Nature","oa":1,"has_accepted_license":"1","isi":1,"year":"2022","day":"29","publication":"Journal of Statistical Physics","date_published":"2022-07-29T00:00:00Z","doi":"10.1007/s10955-022-02965-9","date_created":"2022-08-05T11:36:56Z","_id":"11732","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"date_updated":"2023-09-05T14:57:49Z","ddc":["530"],"file_date_updated":"2022-08-08T07:36:34Z","department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"abstract":[{"text":"We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (Math. Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities, we prove the universality of the ratio of the energy gap and the critical temperature.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","month":"07","intvolume":" 189","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"publication_status":"published","file":[{"success":1,"checksum":"b398c4dbf65f71d417981d6e366427e9","file_id":"11746","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"2022_JourStatisticalPhysics_Henheik.pdf","date_created":"2022-08-08T07:36:34Z","creator":"dernst","file_size":419563,"date_updated":"2022-08-08T07:36:34Z"}],"language":[{"iso":"eng"}],"volume":189,"ec_funded":1},{"abstract":[{"text":"The Lieb–Oxford inequality provides a lower bound on the Coulomb energy of a classical system of N identical charges only in terms of their one-particle density. We prove here a new estimate on the best constant in this inequality. Numerical evaluation provides the value 1.58, which is a significant improvement to the previously known value 1.64. The best constant has recently been shown to be larger than 1.44. In a second part, we prove that the constant can be reduced to 1.25 when the inequality is restricted to Hartree–Fock states. This is the first proof that the exchange term is always much lower than the full indirect Coulomb energy.","lang":"eng"}],"oa_version":"Preprint","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2203.12473"}],"scopus_import":"1","intvolume":" 112","month":"09","publication_status":"published","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"language":[{"iso":"eng"}],"ec_funded":1,"issue":"5","volume":112,"_id":"12246","type":"journal_article","article_type":"original","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"status":"public","date_updated":"2023-09-05T15:17:34Z","department":[{"_id":"RoSe"}],"acknowledgement":"We would like to thank David Gontier for useful advice on the numerical simulations. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreements MDFT No. 725528 of M.L. and AQUAMS No. 694227 of R.S.). We are thankful for the hospitality of the Institut Henri Poincaré in Paris, where part of this work was done.","oa":1,"quality_controlled":"1","publisher":"Springer Nature","year":"2022","isi":1,"publication":"Letters in Mathematical Physics","day":"15","date_created":"2023-01-16T09:53:54Z","date_published":"2022-09-15T00:00:00Z","doi":"10.1007/s11005-022-01584-5","article_number":"92","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"citation":{"chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” Letters in Mathematical Physics. Springer Nature, 2022. https://doi.org/10.1007/s11005-022-01584-5.","ista":"Lewin M, Lieb EH, Seiringer R. 2022. Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. 112(5), 92.","mla":"Lewin, Mathieu, et al. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” Letters in Mathematical Physics, vol. 112, no. 5, 92, Springer Nature, 2022, doi:10.1007/s11005-022-01584-5.","apa":"Lewin, M., Lieb, E. H., & Seiringer, R. (2022). Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-022-01584-5","ama":"Lewin M, Lieb EH, Seiringer R. Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. 2022;112(5). doi:10.1007/s11005-022-01584-5","short":"M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Improved Lieb–Oxford bound on the indirect and exchange energies,” Letters in Mathematical Physics, vol. 112, no. 5. Springer Nature, 2022."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"No","external_id":{"isi":["000854762600001"],"arxiv":["2203.12473"]},"author":[{"first_name":"Mathieu","full_name":"Lewin, Mathieu","last_name":"Lewin"},{"first_name":"Elliott H.","last_name":"Lieb","full_name":"Lieb, Elliott H."},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"title":"Improved Lieb–Oxford bound on the indirect and exchange energies"},{"related_material":{"record":[{"relation":"part_of_dissertation","id":"10564","status":"public"},{"status":"public","id":"8705","relation":"part_of_dissertation"}]},"ec_funded":1,"publication_identifier":{"issn":["2663-337X"]},"publication_status":"published","degree_awarded":"PhD","file":[{"success":1,"checksum":"7970714a20a6052f75fb27a6c3e9976e","file_id":"11486","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_name":"thes1_no_isbn_2_1b.pdf","date_created":"2022-07-05T08:12:56Z","file_size":1830973,"date_updated":"2022-07-05T08:12:56Z","creator":"kmysliwy"},{"creator":"kmysliwy","date_updated":"2022-07-05T08:17:12Z","file_size":5831060,"date_created":"2022-07-05T08:15:52Z","file_name":"thes_source.zip","access_level":"closed","relation":"source_file","content_type":"application/zip","checksum":"647a2011fdf56277096c9350fefe1097","file_id":"11487"}],"language":[{"iso":"eng"}],"alternative_title":["ISTA Thesis"],"month":"07","acknowledged_ssus":[{"_id":"SSU"}],"abstract":[{"lang":"eng","text":"The polaron model is a basic model of quantum field theory describing a single particle\r\ninteracting with a bosonic field. It arises in many physical contexts. We are mostly concerned\r\nwith models applicable in the context of an impurity atom in a Bose-Einstein condensate as\r\nwell as the problem of electrons moving in polar crystals.\r\nThe model has a simple structure in which the interaction of the particle with the field is given\r\nby a term linear in the field’s creation and annihilation operators. In this work, we investigate\r\nthe properties of this model by providing rigorous estimates on various energies relevant to the\r\nproblem. The estimates are obtained, for the most part, by suitable operator techniques which\r\nconstitute the principal mathematical substance of the thesis.\r\nThe first application of these techniques is to derive the polaron model rigorously from first\r\nprinciples, i.e., from a full microscopic quantum-mechanical many-body problem involving an\r\nimpurity in an otherwise homogeneous system. We accomplish this for the N + 1 Bose gas\r\nin the mean-field regime by showing that a suitable polaron-type Hamiltonian arises at weak\r\ninteractions as a low-energy effective theory for this problem.\r\nIn the second part, we investigate rigorously the ground state of the model at fixed momentum\r\nand for large values of the coupling constant. Qualitatively, the system is expected to display\r\na transition from the quasi-particle behavior at small momenta, where the dispersion relation\r\nis parabolic and the particle moves through the medium dragging along a cloud of phonons, to\r\nthe radiative behavior at larger momenta where the polaron decelerates and emits free phonons.\r\nAt the same time, in the strong coupling regime, the bosonic field is expected to behave purely\r\nclassically. Accordingly, the effective mass of the polaron at strong coupling is conjectured to\r\nbe asymptotically equal to the one obtained from the semiclassical counterpart of the problem,\r\nfirst studied by Landau and Pekar in the 1940s. For polaron models with regularized form\r\nfactors and phonon dispersion relations of superfluid type, i.e., bounded below by a linear\r\nfunction of the wavenumbers for all phonon momenta as in the interacting Bose gas, we prove\r\nthat for a large window of momenta below the radiation threshold, the energy-momentum\r\nrelation at strong coupling is indeed essentially a parabola with semi-latus rectum equal to the\r\nLandau–Pekar effective mass, as expected.\r\nFor the Fröhlich polaron describing electrons in polar crystals where the dispersion relation is\r\nof the optical type and the form factor is formally UV–singular due to the nature of the point\r\ncharge-dipole interaction, we are able to give the corresponding upper bound. In contrast to\r\nthe regular case, this requires the inclusion of the quantum fluctuations of the phonon field,\r\nwhich makes the problem considerably more difficult.\r\nThe results are supplemented by studies on the absolute ground-state energy at strong coupling,\r\na proof of the divergence of the effective mass with the coupling constant for a wide class of\r\npolaron models, as well as the discussion of the apparent UV singularity of the Fröhlich model\r\nand the application of the techniques used for its removal for the energy estimates.\r\n"}],"oa_version":"Published Version","file_date_updated":"2022-07-05T08:17:12Z","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"supervisor":[{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"date_updated":"2023-09-07T13:43:52Z","ddc":["515","539"],"type":"dissertation","status":"public","_id":"11473","page":"138","doi":"10.15479/at:ista:11473","date_published":"2022-07-01T00:00:00Z","date_created":"2022-06-30T12:15:03Z","has_accepted_license":"1","year":"2022","day":"01","publisher":"Institute of Science and Technology Austria","oa":1,"author":[{"last_name":"Mysliwy","full_name":"Mysliwy, Krzysztof","first_name":"Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","title":"Polarons in Bose gases and polar crystals: Some rigorous energy estimates","citation":{"ieee":"K. Mysliwy, “Polarons in Bose gases and polar crystals: Some rigorous energy estimates,” Institute of Science and Technology Austria, 2022.","short":"K. Mysliwy, Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates, Institute of Science and Technology Austria, 2022.","apa":"Mysliwy, K. (2022). Polarons in Bose gases and polar crystals: Some rigorous energy estimates. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:11473","ama":"Mysliwy K. Polarons in Bose gases and polar crystals: Some rigorous energy estimates. 2022. doi:10.15479/at:ista:11473","mla":"Mysliwy, Krzysztof. Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:11473.","ista":"Mysliwy K. 2022. Polarons in Bose gases and polar crystals: Some rigorous energy estimates. Institute of Science and Technology Austria.","chicago":"Mysliwy, Krzysztof. “Polarons in Bose Gases and Polar Crystals: Some Rigorous Energy Estimates.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:11473."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","project":[{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"665385","name":"International IST Doctoral Program"}]},{"publication_status":"published","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"language":[{"iso":"eng"}],"file":[{"date_created":"2022-02-02T14:24:41Z","file_name":"2022_JournalStatPhys_Myśliwy.pdf","date_updated":"2022-02-02T14:24:41Z","file_size":434957,"creator":"cchlebak","file_id":"10716","checksum":"da03f6d293c4b9802091bce9471b1d29","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"ec_funded":1,"issue":"1","related_material":{"record":[{"id":"11473","status":"public","relation":"dissertation_contains"}]},"volume":186,"abstract":[{"lang":"eng","text":"We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interaction term. We investigate the strong-coupling limit of the model, and prove suitable bounds on the ground state energy as a function of the total momentum of the system. These bounds agree with the semiclassical approximation to leading order. The latter corresponds here to the situation when the particle undergoes harmonic motion in a potential well whose frequency is determined by the corresponding Pekar functional. We show that for all such models the effective mass diverges in the strong coupling limit, in all spatial dimensions. Moreover, for the case when the phonon dispersion relation grows at least linearly with momentum, the bounds result in an asymptotic formula for the effective mass quotient, a quantity generalizing the usual notion of the effective mass. This asymptotic form agrees with the semiclassical Landau–Pekar formula and can be regarded as the first rigorous confirmation, in a slightly weaker sense than usually considered, of the validity of the semiclassical formula for the effective mass."}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 186","month":"01","date_updated":"2023-09-07T13:43:51Z","ddc":["530"],"file_date_updated":"2022-02-02T14:24:41Z","department":[{"_id":"RoSe"}],"_id":"10564","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","status":"public","year":"2022","has_accepted_license":"1","isi":1,"publication":"Journal of Statistical Physics","day":"01","date_created":"2021-12-19T23:01:32Z","date_published":"2022-01-01T00:00:00Z","doi":"10.1007/s10955-021-02851-w","acknowledgement":"Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant Agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant Agreement No. 665386 (K.M.) is gratefully acknowledged. Open access funding provided by Institute of Science and Technology (IST Austria).","oa":1,"publisher":"Springer Nature","quality_controlled":"1","citation":{"chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-021-02851-w.","ista":"Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5.","mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” Journal of Statistical Physics, vol. 186, no. 1, 5, Springer Nature, 2022, doi:10.1007/s10955-021-02851-w.","ama":"Mysliwy K, Seiringer R. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 2022;186(1). doi:10.1007/s10955-021-02851-w","apa":"Mysliwy, K., & Seiringer, R. (2022). Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-021-02851-w","short":"K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).","ieee":"K. Mysliwy and R. Seiringer, “Polaron models with regular interactions at strong coupling,” Journal of Statistical Physics, vol. 186, no. 1. Springer Nature, 2022."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","external_id":{"isi":["000726275600001"],"arxiv":["2106.09328"]},"article_processing_charge":"Yes (via OA deal)","author":[{"first_name":"Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof","last_name":"Mysliwy"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"title":"Polaron models with regular interactions at strong coupling","article_number":"5","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385","name":"International IST Doctoral Program"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}]},{"acknowledgement":"We thank Rupert Frank for contributing Appendix B. Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 is gratefully acknowledged.","quality_controlled":"1","publisher":"Elsevier","oa":1,"isi":1,"has_accepted_license":"1","year":"2022","day":"15","publication":"Journal of Functional Analysis","date_published":"2022-06-15T00:00:00Z","doi":"10.1016/j.jfa.2022.109455","date_created":"2022-03-16T08:41:53Z","article_number":"109455","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"citation":{"mla":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” Journal of Functional Analysis, vol. 282, no. 12, 109455, Elsevier, 2022, doi:10.1016/j.jfa.2022.109455.","ama":"Roos B, Seiringer R. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 2022;282(12). doi:10.1016/j.jfa.2022.109455","apa":"Roos, B., & Seiringer, R. (2022). Two-particle bound states at interfaces and corners. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2022.109455","short":"B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).","ieee":"B. Roos and R. Seiringer, “Two-particle bound states at interfaces and corners,” Journal of Functional Analysis, vol. 282, no. 12. Elsevier, 2022.","chicago":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” Journal of Functional Analysis. Elsevier, 2022. https://doi.org/10.1016/j.jfa.2022.109455.","ista":"Roos B, Seiringer R. 2022. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 282(12), 109455."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"id":"5DA90512-D80F-11E9-8994-2E2EE6697425","first_name":"Barbara","last_name":"Roos","full_name":"Roos, Barbara","orcid":"0000-0002-9071-5880"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"external_id":{"arxiv":["2105.04874"],"isi":["000795160200009"]},"article_processing_charge":"Yes (via OA deal)","title":"Two-particle bound states at interfaces and corners","abstract":[{"text":"We study two interacting quantum particles forming a bound state in d-dimensional free\r\nspace, and constrain the particles in k directions to (0, ∞)k ×Rd−k, with Neumann boundary\r\nconditions. First, we prove that the ground state energy strictly decreases upon going from k\r\nto k+1. This shows that the particles stick to the corner where all boundary planes intersect.\r\nSecond, we show that for all k the resulting Hamiltonian, after removing the free part of the\r\nkinetic energy, has only finitely many eigenvalues below the essential spectrum. This paper\r\ngeneralizes the work of Egger, Kerner and Pankrashkin (J. Spectr. Theory 10(4):1413–1444,\r\n2020) to dimensions d > 1.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","month":"06","intvolume":" 282","publication_identifier":{"issn":["0022-1236"]},"publication_status":"published","file":[{"date_created":"2022-08-02T10:37:55Z","file_name":"2022_JourFunctionalAnalysis_Roos.pdf","date_updated":"2022-08-02T10:37:55Z","file_size":631391,"creator":"dernst","file_id":"11720","checksum":"63efcefaa1f2717244ef5407bd564426","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"language":[{"iso":"eng"}],"issue":"12","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"14374"}]},"volume":282,"ec_funded":1,"_id":"10850","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","keyword":["Analysis"],"date_updated":"2023-10-27T10:37:29Z","ddc":["510"],"department":[{"_id":"GradSch"},{"_id":"RoSe"}],"file_date_updated":"2022-08-02T10:37:55Z"},{"_id":"10755","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","ddc":["510"],"date_updated":"2024-03-06T12:30:44Z","department":[{"_id":"RoSe"}],"file_date_updated":"2022-02-14T08:20:19Z","oa_version":"Published Version","abstract":[{"text":"We provide a definition of the effective mass for the classical polaron described by the Landau–Pekar (LP) equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by LP (1948 J. Exp. Theor. Phys. 18 419–423).","lang":"eng"}],"intvolume":" 55","month":"01","scopus_import":"1","language":[{"iso":"eng"}],"file":[{"file_id":"10757","checksum":"0875e562705563053d6dd98fba4d8578","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2022-02-14T08:20:19Z","file_name":"2022_JournalPhysicsA_Feliciangeli.pdf","date_updated":"2022-02-14T08:20:19Z","file_size":1132380,"creator":"dernst"}],"publication_status":"published","publication_identifier":{"eissn":["1751-8121"],"issn":["1751-8113"]},"ec_funded":1,"volume":55,"related_material":{"record":[{"status":"public","id":"9791","relation":"earlier_version"}]},"issue":"1","article_number":"015201","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 1, 015201, IOP Publishing, 2022, doi:10.1088/1751-8121/ac3947.","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. 2022;55(1). doi:10.1088/1751-8121/ac3947","apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (2022). The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. IOP Publishing. https://doi.org/10.1088/1751-8121/ac3947","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A: Mathematical and Theoretical 55 (2022).","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 1. IOP Publishing, 2022.","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” Journal of Physics A: Mathematical and Theoretical. IOP Publishing, 2022. https://doi.org/10.1088/1751-8121/ac3947.","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2022. The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. 55(1), 015201."},"title":"The effective mass problem for the Landau-Pekar equations","article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2107.03720"]},"author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario","last_name":"Feliciangeli","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario"},{"last_name":"Rademacher","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"acknowledgement":"We thank Herbert Spohn for helpful comments. Funding from the European Union’s Horizon\r\n2020 research and innovation programme under the ERC Grant Agreement No. 694227\r\n(DF and RS) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (SR) is\r\ngratefully acknowledged.","oa":1,"publisher":"IOP Publishing","quality_controlled":"1","publication":"Journal of Physics A: Mathematical and Theoretical","day":"19","year":"2022","has_accepted_license":"1","date_created":"2022-02-13T23:01:35Z","date_published":"2022-01-19T00:00:00Z","doi":"10.1088/1751-8121/ac3947"},{"file_date_updated":"2022-01-03T10:15:05Z","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"ddc":["530"],"date_updated":"2023-06-15T14:51:49Z","keyword":["anyons","quasiparticles","Quantum Hall Effect","topological states of matter"],"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","_id":"10585","volume":9,"issue":"4","language":[{"iso":"eng"}],"file":[{"file_name":"2021_Atoms_Brooks.pdf","date_created":"2022-01-03T10:15:05Z","file_size":303070,"date_updated":"2022-01-03T10:15:05Z","creator":"alisjak","success":1,"file_id":"10592","checksum":"d0e44b95f36c9e06724f66832af0f8c3","content_type":"application/pdf","relation":"main_file","access_level":"open_access"}],"publication_status":"published","publication_identifier":{"eissn":["2218-2004"]},"intvolume":" 9","month":"12","scopus_import":"1","oa_version":"Published Version","abstract":[{"text":"Recently it was shown that anyons on the two-sphere naturally arise from a system of molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev. Lett. 126, 015301 (2021)). Here we further advance this approach and rigorously demonstrate that in the experimentally realized regime the lowest spectrum of two linear molecules immersed in superfluid helium corresponds to the spectrum of two anyons on the sphere. We develop the formalism within the framework of the recently experimentally observed angulon quasiparticle","lang":"eng"}],"title":"Emergence of anyons on the two-sphere in molecular impurities","article_processing_charge":"Yes","external_id":{"arxiv":["2108.06966"]},"author":[{"orcid":"0000-0002-6249-0928","full_name":"Brooks, Morris","last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","first_name":"Morris"},{"id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail","last_name":"Lemeshko","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail"},{"full_name":"Lundholm, Douglas","last_name":"Lundholm","first_name":"Douglas"},{"last_name":"Yakaboylu","orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","first_name":"Enderalp"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 9(4), 106.","chicago":"Brooks, Morris, Mikhail Lemeshko, Douglas Lundholm, and Enderalp Yakaboylu. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” Atoms. MDPI, 2021. https://doi.org/10.3390/atoms9040106.","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Atoms 9 (2021).","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Emergence of anyons on the two-sphere in molecular impurities,” Atoms, vol. 9, no. 4. MDPI, 2021.","apa":"Brooks, M., Lemeshko, M., Lundholm, D., & Yakaboylu, E. (2021). Emergence of anyons on the two-sphere in molecular impurities. Atoms. MDPI. https://doi.org/10.3390/atoms9040106","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 2021;9(4). doi:10.3390/atoms9040106","mla":"Brooks, Morris, et al. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” Atoms, vol. 9, no. 4, 106, MDPI, 2021, doi:10.3390/atoms9040106."},"article_number":"106","date_created":"2022-01-02T23:01:33Z","doi":"10.3390/atoms9040106","date_published":"2021-12-02T00:00:00Z","publication":"Atoms","day":"02","year":"2021","has_accepted_license":"1","oa":1,"publisher":"MDPI","quality_controlled":"1","acknowledgement":"D. Lundholm acknowledges financial support from the Göran Gustafsson Foundation (grant no. 1804)."},{"title":"The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime","external_id":{"arxiv":["2001.00497"],"isi":["000613313200007"]},"article_processing_charge":"No","author":[{"last_name":"Boccato","full_name":"Boccato, Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","first_name":"Chiara"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"mla":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” Reviews in Mathematical Physics, vol. 33, no. 1, 2060006, World Scientific, 2021, doi:10.1142/S0129055X20600065.","apa":"Boccato, C. (2021). The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. World Scientific. https://doi.org/10.1142/S0129055X20600065","ama":"Boccato C. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 2021;33(1). doi:10.1142/S0129055X20600065","short":"C. Boccato, Reviews in Mathematical Physics 33 (2021).","ieee":"C. Boccato, “The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime,” Reviews in Mathematical Physics, vol. 33, no. 1. World Scientific, 2021.","chicago":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” Reviews in Mathematical Physics. World Scientific, 2021. https://doi.org/10.1142/S0129055X20600065.","ista":"Boccato C. 2021. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 33(1), 2060006."},"project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"article_number":"2060006","date_created":"2020-04-26T22:00:45Z","doi":"10.1142/S0129055X20600065","date_published":"2021-01-01T00:00:00Z","publication":"Reviews in Mathematical Physics","day":"01","year":"2021","isi":1,"oa":1,"quality_controlled":"1","publisher":"World Scientific","department":[{"_id":"RoSe"}],"date_updated":"2023-08-04T10:50:13Z","status":"public","article_type":"original","type":"journal_article","_id":"7685","ec_funded":1,"volume":33,"issue":"1","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0129-055X"]},"intvolume":" 33","month":"01","main_file_link":[{"url":"https://arxiv.org/abs/2001.00497","open_access":"1"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"lang":"eng","text":"We consider a gas of interacting bosons trapped in a box of side length one in the Gross–Pitaevskii limit. We review the proof of the validity of Bogoliubov’s prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein."}]},{"publication_identifier":{"issn":["00103640"],"eissn":["10970312"]},"publication_status":"published","file":[{"checksum":"5f665ffa6e6dd958aec5c3040cbcfa84","file_id":"9236","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2021-03-11T10:03:30Z","file_name":"2021_CommPureApplMath_Frank.pdf","date_updated":"2021-03-11T10:03:30Z","file_size":334987,"creator":"dernst"}],"language":[{"iso":"eng"}],"issue":"3","volume":74,"ec_funded":1,"abstract":[{"lang":"eng","text":"We consider the Fröhlich polaron model in the strong coupling limit. It is well‐known that to leading order the ground state energy is given by the (classical) Pekar energy. In this work, we establish the subleading correction, describing quantum fluctuation about the classical limit. Our proof applies to a model of a confined polaron, where both the electron and the polarization field are restricted to a set of finite volume, with linear size determined by the natural length scale of the Pekar problem."}],"oa_version":"Published Version","scopus_import":"1","month":"03","intvolume":" 74","date_updated":"2023-08-04T11:02:16Z","ddc":["510"],"file_date_updated":"2021-03-11T10:03:30Z","department":[{"_id":"RoSe"}],"_id":"8603","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","has_accepted_license":"1","isi":1,"year":"2021","day":"01","publication":"Communications on Pure and Applied Mathematics","page":"544-588","date_published":"2021-03-01T00:00:00Z","doi":"10.1002/cpa.21944","date_created":"2020-10-04T22:01:37Z","acknowledgement":"Partial support through National Science Foundation GrantDMS-1363432 (R.L.F.) and the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo 694227; R.S.), is acknowledged. Open access funding enabled and organizedby Projekt DEAL.","quality_controlled":"1","publisher":"Wiley","oa":1,"citation":{"mla":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics, vol. 74, no. 3, Wiley, 2021, pp. 544–88, doi:10.1002/cpa.21944.","ama":"Frank R, Seiringer R. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 2021;74(3):544-588. doi:10.1002/cpa.21944","apa":"Frank, R., & Seiringer, R. (2021). Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21944","short":"R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588.","ieee":"R. Frank and R. Seiringer, “Quantum corrections to the Pekar asymptotics of a strongly coupled polaron,” Communications on Pure and Applied Mathematics, vol. 74, no. 3. Wiley, pp. 544–588, 2021.","chicago":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics. Wiley, 2021. https://doi.org/10.1002/cpa.21944.","ista":"Frank R, Seiringer R. 2021. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 74(3), 544–588."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"full_name":"Frank, Rupert","last_name":"Frank","first_name":"Rupert"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"external_id":{"isi":["000572991500001"]},"article_processing_charge":"No","title":"Quantum corrections to the Pekar asymptotics of a strongly coupled polaron","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}]},{"month":"01","intvolume":" 126","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2009.05948"}],"oa_version":"Preprint","abstract":[{"text":"Studies on the experimental realization of two-dimensional anyons in terms of quasiparticles have been restricted, so far, to only anyons on the plane. It is known, however, that the geometry and topology of space can have significant effects on quantum statistics for particles moving on it. Here, we have undertaken the first step toward realizing the emerging fractional statistics for particles restricted to move on the sphere instead of on the plane. We show that such a model arises naturally in the context of quantum impurity problems. In particular, we demonstrate a setup in which the lowest-energy spectrum of two linear bosonic or fermionic molecules immersed in a quantum many-particle environment can coincide with the anyonic spectrum on the sphere. This paves the way toward the experimental realization of anyons on the sphere using molecular impurities. Furthermore, since a change in the alignment of the molecules corresponds to the exchange of the particles on the sphere, such a realization reveals a novel type of exclusion principle for molecular impurities, which could also be of use as a powerful technique to measure the statistics parameter. Finally, our approach opens up a simple numerical route to investigate the spectra of many anyons on the sphere. Accordingly, we present the spectrum of two anyons on the sphere in the presence of a Dirac monopole field.","lang":"eng"}],"issue":"1","volume":126,"related_material":{"record":[{"status":"public","id":"12390","relation":"dissertation_contains"}],"link":[{"url":"https://ist.ac.at/en/news/dancing-molecules-and-two-dimensional-particles/","relation":"press_release","description":"News on IST Homepage"}]},"ec_funded":1,"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["10797114"],"issn":["00319007"]},"publication_status":"published","status":"public","type":"journal_article","article_type":"original","_id":"9005","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"date_updated":"2023-08-07T13:32:10Z","quality_controlled":"1","publisher":"American Physical Society","oa":1,"acknowledgement":"We are grateful to A. Ghazaryan for valuable discussions and also thank the anonymous referees for comments. D.L. acknowledges financial support from the G¨oran Gustafsson Foundation (grant no. 1804) and LMU Munich. M.L. gratefully acknowledges financial support\r\nby the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 801770).","date_published":"2021-01-08T00:00:00Z","doi":"10.1103/PhysRevLett.126.015301","date_created":"2021-01-17T23:01:10Z","day":"08","publication":"Physical Review Letters","isi":1,"year":"2021","project":[{"call_identifier":"H2020","_id":"2688CF98-B435-11E9-9278-68D0E5697425","grant_number":"801770","name":"Angulon: physics and applications of a new quasiparticle"}],"article_number":"015301","title":"Molecular impurities as a realization of anyons on the two-sphere","author":[{"id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","first_name":"Morris","last_name":"Brooks","full_name":"Brooks, Morris","orcid":"0000-0002-6249-0928"},{"full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail"},{"first_name":"D.","full_name":"Lundholm, D.","last_name":"Lundholm"},{"first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874","last_name":"Yakaboylu"}],"article_processing_charge":"No","external_id":{"isi":["000606325000003"],"arxiv":["2009.05948"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"mla":"Brooks, Morris, et al. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” Physical Review Letters, vol. 126, no. 1, 015301, American Physical Society, 2021, doi:10.1103/PhysRevLett.126.015301.","apa":"Brooks, M., Lemeshko, M., Lundholm, D., & Yakaboylu, E. (2021). Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.126.015301","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. 2021;126(1). doi:10.1103/PhysRevLett.126.015301","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Molecular impurities as a realization of anyons on the two-sphere,” Physical Review Letters, vol. 126, no. 1. American Physical Society, 2021.","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).","chicago":"Brooks, Morris, Mikhail Lemeshko, D. Lundholm, and Enderalp Yakaboylu. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” Physical Review Letters. American Physical Society, 2021. https://doi.org/10.1103/PhysRevLett.126.015301.","ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. 126(1), 015301."}},{"citation":{"ista":"Leopold NK, Mitrouskas DJ, Seiringer R. 2021. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 240, 383–417.","chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, and Robert Seiringer. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01616-9.","short":"N.K. Leopold, D.J. Mitrouskas, R. Seiringer, Archive for Rational Mechanics and Analysis 240 (2021) 383–417.","ieee":"N. K. Leopold, D. J. Mitrouskas, and R. Seiringer, “Derivation of the Landau–Pekar equations in a many-body mean-field limit,” Archive for Rational Mechanics and Analysis, vol. 240. Springer Nature, pp. 383–417, 2021.","apa":"Leopold, N. K., Mitrouskas, D. J., & Seiringer, R. (2021). Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01616-9","ama":"Leopold NK, Mitrouskas DJ, Seiringer R. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 2021;240:383-417. doi:10.1007/s00205-021-01616-9","mla":"Leopold, Nikolai K., et al. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” Archive for Rational Mechanics and Analysis, vol. 240, Springer Nature, 2021, pp. 383–417, doi:10.1007/s00205-021-01616-9."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"last_name":"Leopold","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K"},{"full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"article_processing_charge":"No","external_id":{"isi":["000622226200001"],"arxiv":["2001.03993"]},"title":"Derivation of the Landau–Pekar equations in a many-body mean-field limit","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"isi":1,"has_accepted_license":"1","year":"2021","day":"26","publication":"Archive for Rational Mechanics and Analysis","page":"383-417","date_published":"2021-02-26T00:00:00Z","doi":"10.1007/s00205-021-01616-9","date_created":"2021-03-14T23:01:34Z","acknowledgement":"Financial support by the European Research Council (ERC) under the\r\nEuropean Union’s Horizon 2020 research and innovation programme (Grant Agreement\r\nNo 694227; N.L and R.S.), the SNSF Eccellenza Project PCEFP2 181153 (N.L) and the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research TrainingGroup 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. N.L.\r\ngratefully acknowledges support from the NCCRSwissMAP and would like to thank Simone\r\nRademacher and Benjamin Schlein for interesting discussions about the time-evolution of\r\nthe polaron at strong coupling. D.M. thanks Marcel Griesemer and Andreas Wünsch for\r\nextensive discussions about the Fröhlich polaron.","quality_controlled":"1","publisher":"Springer Nature","oa":1,"date_updated":"2023-08-07T14:12:27Z","ddc":["510"],"department":[{"_id":"RoSe"}],"file_date_updated":"2021-03-22T08:31:29Z","_id":"9246","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","publication_identifier":{"issn":["00039527"],"eissn":["14320673"]},"publication_status":"published","file":[{"file_size":558006,"date_updated":"2021-03-22T08:31:29Z","creator":"dernst","file_name":"2021_ArchRationalMechAnal_Leopold.pdf","date_created":"2021-03-22T08:31:29Z","content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"file_id":"9270","checksum":"23449e44dc5132501a5c86e70638800f"}],"language":[{"iso":"eng"}],"volume":240,"ec_funded":1,"abstract":[{"text":"We consider the Fröhlich Hamiltonian in a mean-field limit where many bosonic particles weakly couple to the quantized phonon field. For large particle numbers and a suitably small coupling, we show that the dynamics of the system is approximately described by the Landau–Pekar equations. These describe a Bose–Einstein condensate interacting with a classical polarization field, whose dynamics is effected by the condensate, i.e., the back-reaction of the phonons that are created by the particles during the time evolution is of leading order.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","month":"02","intvolume":" 240"},{"acknowledgement":"The work of MN was supported by the National Science Centre (NCN) Project Nr. 2016/21/D/ST1/02430. The work of RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","oa":1,"publisher":"Springer Nature","quality_controlled":"1","year":"2021","has_accepted_license":"1","isi":1,"publication":"Letters in Mathematical Physics","day":"09","date_created":"2021-03-21T23:01:19Z","date_published":"2021-03-09T00:00:00Z","doi":"10.1007/s11005-021-01375-4","article_number":"31","citation":{"mla":"Napiórkowski, Marcin M., and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics, vol. 111, no. 2, 31, Springer Nature, 2021, doi:10.1007/s11005-021-01375-4.","ieee":"M. M. Napiórkowski and R. Seiringer, “Free energy asymptotics of the quantum Heisenberg spin chain,” Letters in Mathematical Physics, vol. 111, no. 2. Springer Nature, 2021.","short":"M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).","apa":"Napiórkowski, M. M., & Seiringer, R. (2021). Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01375-4","ama":"Napiórkowski MM, Seiringer R. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 2021;111(2). doi:10.1007/s11005-021-01375-4","chicago":"Napiórkowski, Marcin M, and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01375-4.","ista":"Napiórkowski MM, Seiringer R. 2021. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 111(2), 31."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","external_id":{"isi":["000626837400001"]},"article_processing_charge":"Yes (via OA deal)","author":[{"last_name":"Napiórkowski","full_name":"Napiórkowski, Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"title":"Free energy asymptotics of the quantum Heisenberg spin chain","abstract":[{"lang":"eng","text":"We consider the ferromagnetic quantum Heisenberg model in one dimension, for any spin S≥1/2. We give upper and lower bounds on the free energy, proving that at low temperature it is asymptotically equal to the one of an ideal Bose gas of magnons, as predicted by the spin-wave approximation. The trial state used in the upper bound yields an analogous estimate also in the case of two spatial dimensions, which is believed to be sharp at low temperature."}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 111","month":"03","publication_status":"published","publication_identifier":{"eissn":["15730530"],"issn":["03779017"]},"language":[{"iso":"eng"}],"file":[{"access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_id":"9273","checksum":"687fef1525789c0950de90468dd81604","success":1,"creator":"dernst","date_updated":"2021-03-22T11:01:09Z","file_size":397962,"date_created":"2021-03-22T11:01:09Z","file_name":"2021_LettersMathPhysics_Napiorkowski.pdf"}],"volume":111,"issue":"2","_id":"9256","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","status":"public","date_updated":"2023-08-07T14:17:00Z","ddc":["510"],"file_date_updated":"2021-03-22T11:01:09Z","department":[{"_id":"RoSe"}]},{"intvolume":" 9","month":"03","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in 1/N."}],"ec_funded":1,"volume":9,"language":[{"iso":"eng"}],"file":[{"file_name":"2021_ForumMath_Bossmann.pdf","date_created":"2021-04-12T07:15:58Z","creator":"dernst","file_size":883851,"date_updated":"2021-04-12T07:15:58Z","success":1,"file_id":"9319","checksum":"17a3e6786d1e930cf0c14a880a6d7e92","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"publication_status":"published","publication_identifier":{"eissn":["20505094"]},"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","_id":"9318","file_date_updated":"2021-04-12T07:15:58Z","department":[{"_id":"RoSe"}],"ddc":["510"],"date_updated":"2023-08-07T14:35:06Z","oa":1,"quality_controlled":"1","publisher":"Cambridge University Press","acknowledgement":"The first author gratefully acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under Marie Skłodowska-Curie Grant Agreement No. 754411. The third author was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).","date_created":"2021-04-11T22:01:15Z","doi":"10.1017/fms.2021.22","date_published":"2021-03-26T00:00:00Z","publication":"Forum of Mathematics, Sigma","day":"26","year":"2021","isi":1,"has_accepted_license":"1","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"article_number":"e28","title":"Asymptotic expansion of low-energy excitations for weakly interacting bosons","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000634006900001"]},"author":[{"last_name":"Bossmann","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","first_name":"Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425"},{"first_name":"Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","full_name":"Petrat, Sören P","orcid":"0000-0002-9166-5889","last_name":"Petrat"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ieee":"L. Bossmann, S. P. Petrat, and R. Seiringer, “Asymptotic expansion of low-energy excitations for weakly interacting bosons,” Forum of Mathematics, Sigma, vol. 9. Cambridge University Press, 2021.","short":"L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).","apa":"Bossmann, L., Petrat, S. P., & Seiringer, R. (2021). Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2021.22","ama":"Bossmann L, Petrat SP, Seiringer R. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 2021;9. doi:10.1017/fms.2021.22","mla":"Bossmann, Lea, et al. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma, vol. 9, e28, Cambridge University Press, 2021, doi:10.1017/fms.2021.22.","ista":"Bossmann L, Petrat SP, Seiringer R. 2021. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 9, e28.","chicago":"Bossmann, Lea, Sören P Petrat, and Robert Seiringer. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma. Cambridge University Press, 2021. https://doi.org/10.1017/fms.2021.22."}},{"external_id":{"isi":["000637359300002"]},"article_processing_charge":"No","author":[{"first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes"}],"title":"A note on the Fröhlich dynamics in the strong coupling limit","citation":{"chicago":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01380-7.","ista":"Mitrouskas DJ. 2021. A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. 111, 45.","mla":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” Letters in Mathematical Physics, vol. 111, 45, Springer Nature, 2021, doi:10.1007/s11005-021-01380-7.","short":"D.J. Mitrouskas, Letters in Mathematical Physics 111 (2021).","ieee":"D. J. Mitrouskas, “A note on the Fröhlich dynamics in the strong coupling limit,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","ama":"Mitrouskas DJ. A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. 2021;111. doi:10.1007/s11005-021-01380-7","apa":"Mitrouskas, D. J. (2021). A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01380-7"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_number":"45","date_created":"2021-04-18T22:01:41Z","doi":"10.1007/s11005-021-01380-7","date_published":"2021-04-05T00:00:00Z","year":"2021","has_accepted_license":"1","isi":1,"publication":"Letters in Mathematical Physics","day":"05","oa":1,"publisher":"Springer Nature","quality_controlled":"1","acknowledgement":"I thank Marcel Griesemer for many interesting discussions about the Fröhlich polaron and also for valuable comments on this manuscript. Helpful discussions with Nikolai Leopold and Robert Seiringer are also gratefully acknowledged. This work was partially supported by the Deutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral Theory and Dynamics of Quantum Systems. Open Access funding enabled and organized by Projekt DEAL.","department":[{"_id":"RoSe"}],"file_date_updated":"2021-04-19T10:40:01Z","date_updated":"2023-08-08T13:09:28Z","ddc":["510"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","status":"public","_id":"9333","volume":111,"publication_status":"published","publication_identifier":{"issn":["03779017"],"eissn":["15730530"]},"language":[{"iso":"eng"}],"file":[{"file_name":"2021_LettersMathPhysics_Mitrouskas.pdf","date_created":"2021-04-19T10:40:01Z","creator":"dernst","file_size":438084,"date_updated":"2021-04-19T10:40:01Z","success":1,"checksum":"be56c0845a43c0c5c772ee0b5053f7d7","file_id":"9341","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"scopus_import":"1","intvolume":" 111","month":"04","abstract":[{"text":"We revise a previous result about the Fröhlich dynamics in the strong coupling limit obtained in Griesemer (Rev Math Phys 29(10):1750030, 2017). In the latter it was shown that the Fröhlich time evolution applied to the initial state φ0⊗ξα, where φ0 is the electron ground state of the Pekar energy functional and ξα the associated coherent state of the phonons, can be approximated by a global phase for times small compared to α2. In the present note we prove that a similar approximation holds for t=O(α2) if one includes a nontrivial effective dynamics for the phonons that is generated by an operator proportional to α−2 and quadratic in creation and annihilation operators. Our result implies that the electron ground state remains close to its initial state for times of order α2, while the phonon fluctuations around the coherent state ξα can be described by a time-dependent Bogoliubov transformation.","lang":"eng"}],"oa_version":"Published Version"},{"external_id":{"arxiv":["2010.13754"],"isi":["000638022600001"]},"article_processing_charge":"Yes (via OA deal)","author":[{"full_name":"Kirkpatrick, Kay","last_name":"Kirkpatrick","first_name":"Kay"},{"id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"}],"title":"A large deviation principle in many-body quantum dynamics","citation":{"chicago":"Kirkpatrick, Kay, Simone Anna Elvira Rademacher, and Benjamin Schlein. “A Large Deviation Principle in Many-Body Quantum Dynamics.” Annales Henri Poincare. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01044-1.","ista":"Kirkpatrick K, Rademacher SAE, Schlein B. 2021. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 22, 2595–2618.","mla":"Kirkpatrick, Kay, et al. “A Large Deviation Principle in Many-Body Quantum Dynamics.” Annales Henri Poincare, vol. 22, Springer Nature, 2021, pp. 2595–618, doi:10.1007/s00023-021-01044-1.","ieee":"K. Kirkpatrick, S. A. E. Rademacher, and B. Schlein, “A large deviation principle in many-body quantum dynamics,” Annales Henri Poincare, vol. 22. Springer Nature, pp. 2595–2618, 2021.","short":"K. Kirkpatrick, S.A.E. Rademacher, B. Schlein, Annales Henri Poincare 22 (2021) 2595–2618.","ama":"Kirkpatrick K, Rademacher SAE, Schlein B. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 2021;22:2595-2618. doi:10.1007/s00023-021-01044-1","apa":"Kirkpatrick, K., Rademacher, S. A. E., & Schlein, B. (2021). A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-021-01044-1"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"page":"2595-2618","date_created":"2021-04-25T22:01:30Z","doi":"10.1007/s00023-021-01044-1","date_published":"2021-04-08T00:00:00Z","year":"2021","isi":1,"has_accepted_license":"1","publication":"Annales Henri Poincare","day":"08","oa":1,"publisher":"Springer Nature","quality_controlled":"1","acknowledgement":"The authors gratefully acknowledge Gérard Ben Arous for suggesting this kind of result. K.L.K. was partially supported by NSF CAREER Award DMS-125479 and a Simons Sabbatical Fellowship. S.R. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. B. S. gratefully acknowledges partial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose–Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS. Funding Open access funding provided by Institute of Science and Technology (IST Austria).","department":[{"_id":"RoSe"}],"file_date_updated":"2021-10-15T11:15:40Z","date_updated":"2023-08-08T13:14:40Z","ddc":["530"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","status":"public","_id":"9351","ec_funded":1,"volume":22,"publication_status":"published","publication_identifier":{"issn":["1424-0637"]},"language":[{"iso":"eng"}],"file":[{"access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_id":"10143","checksum":"1a0fb963f2f415ba470881a794f20eb6","success":1,"creator":"cchlebak","date_updated":"2021-10-15T11:15:40Z","file_size":522669,"date_created":"2021-10-15T11:15:40Z","file_name":"2021_Annales_Kirkpatrick.pdf"}],"scopus_import":"1","intvolume":" 22","month":"04","abstract":[{"lang":"eng","text":"We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates that are consistent with central limit theorems that have been established in the last years. "}],"oa_version":"Published Version"},{"status":"public","article_type":"original","type":"journal_article","_id":"9348","department":[{"_id":"RoSe"}],"date_updated":"2023-08-08T13:15:11Z","month":"04","intvolume":" 281","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1911.03187"}],"oa_version":"Preprint","abstract":[{"text":"We consider the stochastic quantization of a quartic double-well energy functional in the semiclassical regime and derive optimal asymptotics for the exponentially small splitting of the ground state energy. Our result provides an infinite-dimensional version of some sharp tunneling estimates known in finite dimensions for semiclassical Witten Laplacians in degree zero. From a stochastic point of view it proves that the L2 spectral gap of the stochastic one-dimensional Allen-Cahn equation in finite volume satisfies a Kramers-type formula in the limit of vanishing noise. We work with finite-dimensional lattice approximations and establish semiclassical estimates which are uniform in the dimension. Our key estimate shows that the constant separating the two exponentially small eigenvalues from the rest of the spectrum can be taken independently of the dimension.","lang":"eng"}],"volume":281,"issue":"3","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"publication_status":"published","article_number":"109029","title":"Sharp tunneling estimates for a double-well model in infinite dimension","author":[{"id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","first_name":"Morris","orcid":"0000-0002-6249-0928","full_name":"Brooks, Morris","last_name":"Brooks"},{"first_name":"Giacomo","full_name":"Di Gesù, Giacomo","last_name":"Di Gesù"}],"article_processing_charge":"No","external_id":{"isi":["000644702800005"],"arxiv":["1911.03187"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"mla":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” Journal of Functional Analysis, vol. 281, no. 3, 109029, Elsevier, 2021, doi:10.1016/j.jfa.2021.109029.","apa":"Brooks, M., & Di Gesù, G. (2021). Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109029","ama":"Brooks M, Di Gesù G. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 2021;281(3). doi:10.1016/j.jfa.2021.109029","short":"M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).","ieee":"M. Brooks and G. Di Gesù, “Sharp tunneling estimates for a double-well model in infinite dimension,” Journal of Functional Analysis, vol. 281, no. 3. Elsevier, 2021.","chicago":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109029.","ista":"Brooks M, Di Gesù G. 2021. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 281(3), 109029."},"quality_controlled":"1","publisher":"Elsevier","oa":1,"acknowledgement":"GDG gratefully acknowledges the financial support of HIM Bonn in the framework of the 2019 Junior Trimester Programs “Kinetic Theory” and “Randomness, PDEs and Nonlinear Fluctuations” and the hospitality at the University of Rome La Sapienza during his frequent visits.","date_published":"2021-04-07T00:00:00Z","doi":"10.1016/j.jfa.2021.109029","date_created":"2021-04-25T22:01:29Z","day":"07","publication":"Journal of Functional Analysis","isi":1,"year":"2021"},{"ec_funded":1,"volume":281,"issue":"6","publication_status":"published","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/2009.00992","open_access":"1"}],"scopus_import":"1","intvolume":" 281","month":"09","abstract":[{"lang":"eng","text":"We consider a system of N trapped bosons with repulsive interactions in a combined semiclassical mean-field limit at positive temperature. We show that the free energy is well approximated by the minimum of the Hartree free energy functional – a natural extension of the Hartree energy functional to positive temperatures. The Hartree free energy functional converges in the same limit to a semiclassical free energy functional, and we show that the system displays Bose–Einstein condensation if and only if it occurs in the semiclassical free energy functional. This allows us to show that for weak coupling the critical temperature decreases due to the repulsive interactions."}],"oa_version":"Preprint","department":[{"_id":"RoSe"}],"date_updated":"2023-08-08T13:56:27Z","article_type":"original","type":"journal_article","status":"public","_id":"9462","date_created":"2021-06-06T22:01:28Z","date_published":"2021-09-15T00:00:00Z","doi":"10.1016/j.jfa.2021.109096","year":"2021","isi":1,"publication":"Journal of Functional Analysis","day":"15","oa":1,"publisher":"Elsevier","quality_controlled":"1","acknowledgement":"Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 (R.S.) and under the Marie Sklodowska-Curie grant agreement No 836146 (A.D.) is gratefully acknowledged. A.D. acknowledges support of the Swiss National Science Foundation through the Ambizione grant PZ00P2 185851.","external_id":{"arxiv":["2009.00992"],"isi":["000656508600008"]},"article_processing_charge":"No","author":[{"last_name":"Deuchert","full_name":"Deuchert, Andreas","first_name":"Andreas"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"title":"Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons","citation":{"ama":"Deuchert A, Seiringer R. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 2021;281(6). doi:10.1016/j.jfa.2021.109096","apa":"Deuchert, A., & Seiringer, R. (2021). Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2021.109096","short":"A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).","ieee":"A. Deuchert and R. Seiringer, “Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons,” Journal of Functional Analysis, vol. 281, no. 6. Elsevier, 2021.","mla":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis, vol. 281, no. 6, 109096, Elsevier, 2021, doi:10.1016/j.jfa.2021.109096.","ista":"Deuchert A, Seiringer R. 2021. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 281(6), 109096.","chicago":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109096."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"article_number":"109096"},{"year":"2021","isi":1,"has_accepted_license":"1","publication":"Journal of Mathematical Physics","day":"01","date_created":"2021-08-12T07:08:36Z","date_published":"2021-08-01T00:00:00Z","doi":"10.1063/5.0053494","acknowledgement":"The author would like to thank Robert Seiringer for guidance and many helpful comments on this project. The author would also like to thank Mathieu Lewin for his comments on the manuscript and Lorenzo Portinale for providing his lecture notes for the course “Mathematics of quantum many-body systems” in spring 2020, taught by Robert Seiringer. The Proof of Theorem III.1 is inspired by these lecture notes.","oa":1,"publisher":"AIP Publishing","quality_controlled":"1","citation":{"mla":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” Journal of Mathematical Physics, vol. 62, no. 8, 083305, AIP Publishing, 2021, doi:10.1063/5.0053494.","apa":"Lauritsen, A. B. (2021). Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0053494","ama":"Lauritsen AB. Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. 2021;62(8). doi:10.1063/5.0053494","ieee":"A. B. Lauritsen, “Floating Wigner crystal and periodic jellium configurations,” Journal of Mathematical Physics, vol. 62, no. 8. AIP Publishing, 2021.","short":"A.B. Lauritsen, Journal of Mathematical Physics 62 (2021).","chicago":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” Journal of Mathematical Physics. AIP Publishing, 2021. https://doi.org/10.1063/5.0053494.","ista":"Lauritsen AB. 2021. Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. 62(8), 083305."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","external_id":{"arxiv":["2103.07975"],"isi":["000683960800003"]},"article_processing_charge":"No","author":[{"last_name":"Lauritsen","orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard","first_name":"Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1"}],"title":"Floating Wigner crystal and periodic jellium configurations","article_number":"083305","publication_status":"published","publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"language":[{"iso":"eng"}],"file":[{"access_level":"open_access","relation":"main_file","content_type":"application/pdf","checksum":"d035be2b894c4d50d90ac5ce252e27cd","file_id":"10188","success":1,"creator":"cziletti","date_updated":"2021-10-27T12:57:06Z","file_size":4352640,"date_created":"2021-10-27T12:57:06Z","file_name":"2021_JMathPhy_Lauritsen.pdf"}],"issue":"8","volume":62,"abstract":[{"lang":"eng","text":"Extending on ideas of Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)], we present a modified “floating crystal” trial state for jellium (also known as the classical homogeneous electron gas) with density equal to a characteristic function. This allows us to show that three definitions of the jellium energy coincide in dimensions d ≥ 2, thus extending the result of Cotar and Petrache [“Equality of the Jellium and uniform electron gas next-order asymptotic terms for Coulomb and Riesz potentials,” arXiv: 1707.07664 (2019)] and Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)] that the three definitions coincide in dimension d ≥ 3. We show that the jellium energy is also equivalent to a “renormalized energy” studied in a series of papers by Serfaty and others, and thus, by the work of Bétermin and Sandier [Constr. Approximation 47, 39–74 (2018)], we relate the jellium energy to the order n term in the logarithmic energy of n points on the unit 2-sphere. We improve upon known lower bounds for this renormalized energy. Additionally, we derive formulas for the jellium energy of periodic configurations."}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 62","month":"08","date_updated":"2023-08-11T10:29:48Z","ddc":["530"],"department":[{"_id":"GradSch"},{"_id":"RoSe"}],"file_date_updated":"2021-10-27T12:57:06Z","_id":"9891","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"status":"public"},{"quality_controlled":"1","publisher":"Springer Nature","oa":1,"acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.7.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","doi":"10.1007/s00205-021-01715-7","date_published":"2021-10-25T00:00:00Z","date_created":"2021-11-07T23:01:26Z","page":"1835–1906","day":"25","publication":"Archive for Rational Mechanics and Analysis","isi":1,"has_accepted_license":"1","year":"2021","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","author":[{"last_name":"Feliciangeli","full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"external_id":{"arxiv":["2101.12566"],"isi":["000710850600001"]},"article_processing_charge":"Yes (via OA deal)","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"short":"D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906.","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” Archive for Rational Mechanics and Analysis, vol. 242, no. 3. Springer Nature, pp. 1835–1906, 2021.","apa":"Feliciangeli, D., & Seiringer, R. (2021). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01715-7","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. 2021;242(3):1835–1906. doi:10.1007/s00205-021-01715-7","mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational Mechanics and Analysis, vol. 242, no. 3, Springer Nature, 2021, pp. 1835–1906, doi:10.1007/s00205-021-01715-7.","ista":"Feliciangeli D, Seiringer R. 2021. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. 242(3), 1835–1906.","chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01715-7."},"month":"10","intvolume":" 242","scopus_import":"1","oa_version":"Published Version","abstract":[{"text":"We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.","lang":"eng"}],"issue":"3","related_material":{"record":[{"status":"public","id":"9787","relation":"earlier_version"}]},"volume":242,"ec_funded":1,"file":[{"access_level":"open_access","relation":"main_file","content_type":"application/pdf","checksum":"672e9c21b20f1a50854b7c821edbb92f","file_id":"10544","success":1,"creator":"alisjak","date_updated":"2021-12-14T08:35:42Z","file_size":990529,"date_created":"2021-12-14T08:35:42Z","file_name":"2021_Springer_Feliciangeli.pdf"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"publication_status":"published","status":"public","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"10224","department":[{"_id":"RoSe"}],"file_date_updated":"2021-12-14T08:35:42Z","ddc":["530"],"date_updated":"2023-08-14T10:32:19Z"},{"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"citation":{"chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01136-y.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré.","mla":"Benedikter, Niels P., et al. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré, Springer Nature, 2021, doi:10.1007/s00023-021-01136-y.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. 2021. doi:10.1007/s00023-021-01136-y","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2021). Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. Springer Nature. https://doi.org/10.1007/s00023-021-01136-y","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Bosonization of fermionic many-body dynamics,” Annales Henri Poincaré. Springer Nature, 2021.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré (2021)."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"last_name":"Benedikter","full_name":"Benedikter, Niels P","orcid":"0000-0002-1071-6091","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","first_name":"Niels P"},{"full_name":"Nam, Phan Thành","last_name":"Nam","first_name":"Phan Thành"},{"first_name":"Marcello","last_name":"Porta","full_name":"Porta, Marcello"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"arxiv":["2103.08224"],"isi":["000725405700001"]},"article_processing_charge":"No","title":"Bosonization of fermionic many-body dynamics","acknowledgement":"NB was supported by Gruppo Nazionale per la Fisica Matematica (GNFM). RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 694227). PTN was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (ERC StG MaMBoQ, Grant Agreement No. 802901). BS was supported by the NCCR SwissMAP, the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates,” and the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program through the ERC-AdG CLaQS (Grant Agreement No. 834782).","quality_controlled":"1","publisher":"Springer Nature","oa":1,"isi":1,"year":"2021","day":"02","publication":"Annales Henri Poincaré","doi":"10.1007/s00023-021-01136-y","date_published":"2021-12-02T00:00:00Z","date_created":"2021-12-12T23:01:28Z","_id":"10537","article_type":"original","type":"journal_article","status":"public","date_updated":"2023-08-17T06:19:14Z","department":[{"_id":"RoSe"}],"abstract":[{"lang":"eng","text":"We consider the quantum many-body evolution of a homogeneous Fermi gas in three dimensions in the coupled semiclassical and mean-field scaling regime. We study a class of initial data describing collective particle–hole pair excitations on the Fermi ball. Using a rigorous version of approximate bosonization, we prove that the many-body evolution can be approximated in Fock space norm by a quasi-free bosonic evolution of the collective particle–hole excitations."}],"oa_version":"Preprint","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2103.08224"}],"month":"12","publication_identifier":{"issn":["1424-0637"]},"publication_status":"published","language":[{"iso":"eng"}],"ec_funded":1},{"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"author":[{"orcid":"0000-0002-1071-6091","full_name":"Benedikter, Niels P","last_name":"Benedikter","first_name":"Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Nam","full_name":"Nam, Phan Thành","first_name":"Phan Thành"},{"full_name":"Porta, Marcello","last_name":"Porta","first_name":"Marcello"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000646573600001"],"arxiv":["2005.08933"]},"title":"Correlation energy of a weakly interacting Fermi gas","citation":{"chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” Inventiones Mathematicae. Springer, 2021. https://doi.org/10.1007/s00222-021-01041-5.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979.","mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” Inventiones Mathematicae, vol. 225, Springer, 2021, pp. 885–979, doi:10.1007/s00222-021-01041-5.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas,” Inventiones Mathematicae, vol. 225. Springer, pp. 885–979, 2021.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2021). Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. Springer. https://doi.org/10.1007/s00222-021-01041-5","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 2021;225:885-979. doi:10.1007/s00222-021-01041-5"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","quality_controlled":"1","publisher":"Springer","oa":1,"acknowledgement":"We thank Christian Hainzl for helpful discussions and a referee for very careful reading of the paper and many helpful suggestions. NB and RS were supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 694227). Part of the research of NB was conducted on the RZD18 Nice–Milan–Vienna–Moscow. NB thanks Elliott H. Lieb and Peter Otte for explanations about the Luttinger model. PTN has received funding from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP acknowledges financial support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, grant agreement No. 802901). BS gratefully acknowledges financial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS (grant agreement No. 834782). All authors acknowledge support for workshop participation from Mathematisches Forschungsinstitut Oberwolfach (Leibniz Association). NB, PTN, BS, and RS acknowledge support for workshop participation from Fondation des Treilles.","page":"885-979","date_published":"2021-05-03T00:00:00Z","doi":"10.1007/s00222-021-01041-5","date_created":"2020-05-28T16:48:20Z","has_accepted_license":"1","isi":1,"year":"2021","day":"03","publication":"Inventiones Mathematicae","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","_id":"7901","department":[{"_id":"RoSe"}],"file_date_updated":"2022-05-16T12:23:40Z","date_updated":"2023-08-21T06:30:30Z","ddc":["510"],"scopus_import":"1","month":"05","intvolume":" 225","abstract":[{"lang":"eng","text":"We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree–Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy."}],"oa_version":"Published Version","volume":225,"ec_funded":1,"publication_identifier":{"issn":["0020-9910"],"eissn":["1432-1297"]},"publication_status":"published","file":[{"date_created":"2022-05-16T12:23:40Z","file_name":"2021_InventMath_Benedikter.pdf","creator":"dernst","date_updated":"2022-05-16T12:23:40Z","file_size":1089319,"checksum":"f38c79dfd828cdc7f49a34b37b83d376","file_id":"11386","success":1,"access_level":"open_access","relation":"main_file","content_type":"application/pdf"}],"language":[{"iso":"eng"}]},{"title":"Bosonic collective excitations in Fermi gases","article_processing_charge":"No","external_id":{"isi":["000613313200010"],"arxiv":["1910.08190"]},"author":[{"last_name":"Benedikter","full_name":"Benedikter, Niels P","orcid":"0000-0002-1071-6091","first_name":"Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews in Mathematical Physics, vol. 33, no. 1, 2060009, World Scientific, 2021, doi:10.1142/s0129055x20600090.","ieee":"N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” Reviews in Mathematical Physics, vol. 33, no. 1. World Scientific, 2021.","short":"N.P. Benedikter, Reviews in Mathematical Physics 33 (2021).","apa":"Benedikter, N. P. (2021). Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. World Scientific. https://doi.org/10.1142/s0129055x20600090","ama":"Benedikter NP. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 2021;33(1). doi:10.1142/s0129055x20600090","chicago":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews in Mathematical Physics. World Scientific, 2021. https://doi.org/10.1142/s0129055x20600090.","ista":"Benedikter NP. 2021. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 33(1), 2060009."},"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"article_number":"2060009","date_created":"2020-05-28T16:47:55Z","date_published":"2021-01-01T00:00:00Z","doi":"10.1142/s0129055x20600090","publication":"Reviews in Mathematical Physics","day":"01","year":"2021","isi":1,"oa":1,"quality_controlled":"1","publisher":"World Scientific","department":[{"_id":"RoSe"}],"date_updated":"2023-09-05T16:07:40Z","status":"public","type":"journal_article","article_type":"original","_id":"7900","ec_funded":1,"issue":"1","volume":33,"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0129-055X"],"eissn":["1793-6659"]},"intvolume":" 33","month":"01","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.08190"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"text":"Hartree–Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization of many-body correlations has been rigorously justified as an upper bound on the correlation energy at high density with weak interactions. We review the bosonic approximation, deriving an effective Hamiltonian. We then show that for systems with Coulomb interaction this effective theory predicts collective excitations (plasmons) in accordance with the random phase approximation of Bohm and Pines, and with experimental observation.","lang":"eng"}]},{"citation":{"mla":"Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:10.1142/s0129055x20600120.","short":"R. Seiringer, Reviews in Mathematical Physics 33 (2021).","ieee":"R. Seiringer, “The polaron at strong coupling,” Reviews in Mathematical Physics, vol. 33, no. 01. World Scientific Publishing, 2021.","apa":"Seiringer, R. (2021). The polaron at strong coupling. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/s0129055x20600120","ama":"Seiringer R. The polaron at strong coupling. Reviews in Mathematical Physics. 2021;33(01). doi:10.1142/s0129055x20600120","chicago":"Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics. World Scientific Publishing, 2021. https://doi.org/10.1142/s0129055x20600120.","ista":"Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical Physics. 33(01), 2060012."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"No","external_id":{"isi":["000613313200013"],"arxiv":["1912.12509"]},"author":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"title":"The polaron at strong coupling","article_number":"2060012","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"year":"2021","isi":1,"publication":"Reviews in Mathematical Physics","day":"01","date_created":"2022-03-18T08:11:34Z","date_published":"2021-02-01T00:00:00Z","doi":"10.1142/s0129055x20600120","acknowledgement":"This work was supported by the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo. 694227).","oa":1,"publisher":"World Scientific Publishing","quality_controlled":"1","date_updated":"2023-09-05T16:08:02Z","department":[{"_id":"RoSe"}],"_id":"10852","article_type":"original","type":"journal_article","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"status":"public","publication_status":"published","publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"language":[{"iso":"eng"}],"ec_funded":1,"issue":"01","volume":33,"abstract":[{"lang":"eng","text":" We review old and new results on the Fröhlich polaron model. The discussion includes the validity of the (classical) Pekar approximation in the strong coupling limit, quantum corrections to this limit, as well as the divergence of the effective polaron mass."}],"oa_version":"Preprint","main_file_link":[{"url":"https://arxiv.org/abs/1912.12509","open_access":"1"}],"scopus_import":"1","intvolume":" 33","month":"02"},{"project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"article_number":"19","title":"Persistence of the spectral gap for the Landau–Pekar equations","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000617195700001"]},"author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario","last_name":"Feliciangeli","full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530"},{"first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466","last_name":"Rademacher"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19.","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-020-01350-5.","apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (2021). Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-020-01350-5","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 2021;111. doi:10.1007/s11005-020-01350-5","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “Persistence of the spectral gap for the Landau–Pekar equations,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).","mla":"Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics, vol. 111, 19, Springer Nature, 2021, doi:10.1007/s11005-020-01350-5."},"oa":1,"quality_controlled":"1","publisher":"Springer Nature","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged. Open Access funding provided by Institute of Science and Technology (IST Austria)","date_created":"2021-03-07T23:01:25Z","doi":"10.1007/s11005-020-01350-5","date_published":"2021-02-11T00:00:00Z","publication":"Letters in Mathematical Physics","day":"11","year":"2021","isi":1,"has_accepted_license":"1","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","_id":"9225","department":[{"_id":"RoSe"}],"file_date_updated":"2021-03-09T11:44:34Z","ddc":["510"],"date_updated":"2023-09-07T13:30:11Z","intvolume":" 111","month":"02","scopus_import":"1","oa_version":"Published Version","abstract":[{"text":"The Landau–Pekar equations describe the dynamics of a strongly coupled polaron.\r\nHere, we provide a class of initial data for which the associated effective Hamiltonian\r\nhas a uniform spectral gap for all times. For such initial data, this allows us to extend the\r\nresults on the adiabatic theorem for the Landau–Pekar equations and their derivation\r\nfrom the Fröhlich model obtained in previous works to larger times.","lang":"eng"}],"ec_funded":1,"volume":111,"related_material":{"record":[{"status":"public","id":"9733","relation":"dissertation_contains"}]},"language":[{"iso":"eng"}],"file":[{"date_updated":"2021-03-09T11:44:34Z","file_size":391205,"creator":"dernst","date_created":"2021-03-09T11:44:34Z","file_name":"2021_LettersMathPhysics_Feliciangeli.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"ffbfe1aad623bce7ff529c207e343b53","file_id":"9232","success":1}],"publication_status":"published","publication_identifier":{"eissn":["15730530"],"issn":["03779017"]}},{"article_number":"2101.12566","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","citation":{"chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, n.d.","ista":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv, 2101.12566.","mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, 2101.12566.","short":"D. Feliciangeli, R. Seiringer, ArXiv (n.d.).","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” arXiv. .","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv.","apa":"Feliciangeli, D., & Seiringer, R. (n.d.). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv."},"title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","last_name":"Feliciangeli"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"arxiv":["2101.12566"]},"article_processing_charge":"No","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.1.\r\n","oa":1,"day":"01","publication":"arXiv","has_accepted_license":"1","year":"2021","date_published":"2021-02-01T00:00:00Z","date_created":"2021-08-06T08:25:57Z","_id":"9787","status":"public","type":"preprint","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ddc":["510"],"date_updated":"2023-09-07T13:30:10Z","department":[{"_id":"RoSe"}],"oa_version":"Preprint","abstract":[{"text":"We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.","lang":"eng"}],"month":"02","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2101.12566"}],"language":[{"iso":"eng"}],"publication_status":"submitted","related_material":{"record":[{"relation":"later_version","id":"10224","status":"public"},{"id":"9733","status":"public","relation":"dissertation_contains"}]},"ec_funded":1},{"project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"short":"N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.","ieee":"N. K. Leopold, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “ The Landau–Pekar equations: Adiabatic theorem and accuracy,” Analysis and PDE, vol. 14, no. 7. Mathematical Sciences Publishers, pp. 2079–2100, 2021.","apa":"Leopold, N. K., Rademacher, S. A. E., Schlein, B., & Seiringer, R. (2021). The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. Mathematical Sciences Publishers. https://doi.org/10.2140/APDE.2021.14.2079","ama":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R. The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 2021;14(7):2079-2100. doi:10.2140/APDE.2021.14.2079","mla":"Leopold, Nikolai K., et al. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” Analysis and PDE, vol. 14, no. 7, Mathematical Sciences Publishers, 2021, pp. 2079–100, doi:10.2140/APDE.2021.14.2079.","ista":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R. 2021. The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 14(7), 2079–2100.","chicago":"Leopold, Nikolai K, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” Analysis and PDE. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/APDE.2021.14.2079."},"title":" The Landau–Pekar equations: Adiabatic theorem and accuracy","author":[{"last_name":"Leopold","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","first_name":"Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"article_processing_charge":"No","external_id":{"arxiv":["1904.12532"],"isi":["000733976600004"]},"acknowledgement":"N. L. and R. S. gratefully acknowledge financial support by the European Research Council\r\n(ERC) under the European Union’s Horizon 2020 research and innovation programme (grant\r\nagreement No 694227). B. S. acknowledges support from the Swiss National Science Foundation (grant 200020_172623) and from the NCCR SwissMAP. N. L. would like to thank\r\nAndreas Deuchert and David Mitrouskas for interesting discussions. B. S. and R. S. would\r\nlike to thank Rupert Frank for stimulating discussions about the time-evolution of a polaron.\r\n","quality_controlled":"1","publisher":"Mathematical Sciences Publishers","oa":1,"day":"10","publication":"Analysis and PDE","isi":1,"year":"2021","doi":"10.2140/APDE.2021.14.2079","date_published":"2021-11-10T00:00:00Z","date_created":"2022-02-06T23:01:33Z","page":"2079-2100","_id":"10738","status":"public","type":"journal_article","article_type":"original","date_updated":"2023-10-17T11:26:45Z","department":[{"_id":"RoSe"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results on the accuracy of their use as effective equations for the time evolution generated by the Fröhlich Hamiltonian with large coupling constant α. In particular, we show that the time evolution of Pekar product states with coherent phonon field and the electron being trapped by the phonons is well approximated by the Landau–Pekar equations until times short compared to α2."}],"month":"11","intvolume":" 14","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.12532"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["2157-5045"],"eissn":["1948-206X"]},"publication_status":"published","issue":"7","volume":14,"ec_funded":1},{"oa":1,"acknowledgement":"This work started when A.G. was visiting the Erwin Schrödinger Institute and then continued when D.F. and L.P visited the Theoretical Chemistry Department of the Vrije Universiteit Amsterdam. The authors thanks the hospitality of both places and, especially, P. Gori-Giorgi and K. Giesbertz for fruitful discussions and literature suggestions in the early state of the project. Finally, the authors also thanks J. Maas and R. Seiringer for their feedback and useful comments to a first draft of the article. L.P. acknowledges support by the Austrian Science Fund (FWF), grants No W1245 and NoF65. D.F acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 716117 and No 694227). A.G. acknowledges funding by the European Research Council under H2020/MSCA-IF “OTmeetsDFT” [grant ID: 795942].","date_created":"2021-08-06T09:07:12Z","doi":"10.48550/arXiv.2106.11217","date_published":"2021-07-21T00:00:00Z","year":"2021","has_accepted_license":"1","publication":"arXiv","day":"21","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"call_identifier":"H2020","_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504"}],"article_number":"2106.11217","external_id":{"arxiv":["2106.11217"]},"article_processing_charge":"No","author":[{"full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530","last_name":"Feliciangeli","first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Gerolin, Augusto","last_name":"Gerolin","first_name":"Augusto"},{"last_name":"Portinale","full_name":"Portinale, Lorenzo","id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","first_name":"Lorenzo"}],"title":"A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature","citation":{"ista":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv, 2106.11217.","chicago":"Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2106.11217.","ama":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv. doi:10.48550/arXiv.2106.11217","apa":"Feliciangeli, D., Gerolin, A., & Portinale, L. (n.d.). A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv. https://doi.org/10.48550/arXiv.2106.11217","ieee":"D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” arXiv. .","short":"D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.).","mla":"Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” ArXiv, 2106.11217, doi:10.48550/arXiv.2106.11217."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2106.11217","open_access":"1"}],"month":"07","abstract":[{"text":"This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting the problem of computing the ground-state energy of a finite dimensional composite quantum system at positive temperature as a non-commutative entropy regularized Optimal Transport problem. We develop a new approach to fully characterize the dual-primal solutions in such non-commutative setting. The mathematical formalism is particularly relevant in quantum chemistry: numerical realizations of the many-electron ground state energy can be computed via a non-commutative version of Sinkhorn algorithm. Our approach allows to prove convergence and robustness of this algorithm, which, to our best knowledge, were unknown even in the two marginal case. Our methods are based on careful a priori estimates in the dual problem, which we believe to be of independent interest. Finally, the above results are extended in 1RDMFT setting, where bosonic or fermionic symmetry conditions are enforced on the problem.","lang":"eng"}],"oa_version":"Preprint","ec_funded":1,"related_material":{"record":[{"status":"public","id":"9733","relation":"dissertation_contains"},{"relation":"dissertation_contains","status":"public","id":"10030"},{"status":"public","id":"12911","relation":"later_version"}]},"publication_status":"submitted","language":[{"iso":"eng"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"preprint","status":"public","_id":"9792","department":[{"_id":"RoSe"},{"_id":"JaMa"}],"date_updated":"2023-11-14T13:21:01Z","ddc":["510"]},{"publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"publication_status":"published","language":[{"iso":"eng"}],"volume":3,"issue":"4","ec_funded":1,"abstract":[{"text":"We consider the Fröhlich Hamiltonian with large coupling constant α. For initial data of Pekar product form with coherent phonon field and with the electron minimizing the corresponding energy, we provide a norm approximation of the evolution, valid up to times of order α2. The approximation is given in terms of a Pekar product state, evolved through the Landau-Pekar equations, corrected by a Bogoliubov dynamics taking quantum fluctuations into account. This allows us to show that the Landau-Pekar equations approximately describe the evolution of the electron- and one-phonon reduced density matrices under the Fröhlich dynamics up to times of order α2.","lang":"eng"}],"oa_version":"Preprint","scopus_import":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2005.02098","open_access":"1"}],"month":"10","intvolume":" 3","date_updated":"2024-02-05T10:02:45Z","department":[{"_id":"RoSe"}],"_id":"14889","article_type":"original","type":"journal_article","status":"public","year":"2021","day":"01","publication":"Pure and Applied Analysis","page":"653-676","date_published":"2021-10-01T00:00:00Z","doi":"10.2140/paa.2021.3.653","date_created":"2024-01-28T23:01:43Z","acknowledgement":"Financial support by the European Union’s Horizon 2020 research and innovation programme\r\nunder the Marie Skłodowska-Curie grant agreement No. 754411 (S.R.) and the European\r\nResearch Council under grant agreement No. 694227 (N.L. and R.S.), as well as by the SNSF\r\nEccellenza project PCEFP2 181153 (N.L.), the NCCR SwissMAP (N.L. and B.S.) and by the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. B.S. gratefully\r\nacknowledges financial support from the Swiss National Science Foundation through the Grant\r\n“Dynamical and energetic properties of Bose-Einstein condensates” and from the European\r\nResearch Council through the ERC-AdG CLaQS (grant agreement No 834782). D.M. thanks\r\nMarcel Griesemer for helpful discussions.","quality_controlled":"1","publisher":"Mathematical Sciences Publishers","oa":1,"citation":{"mla":"Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:10.2140/paa.2021.3.653.","ama":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 2021;3(4):653-676. doi:10.2140/paa.2021.3.653","apa":"Leopold, N. K., Mitrouskas, D. J., Rademacher, S. A. E., Schlein, B., & Seiringer, R. (2021). Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2021.3.653","ieee":"N. K. Leopold, D. J. Mitrouskas, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron,” Pure and Applied Analysis, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 653–676, 2021.","short":"N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.","chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/paa.2021.3.653.","ista":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. 2021. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 3(4), 653–676."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold","orcid":"0000-0002-0495-6822","full_name":"Leopold, Nikolai K"},{"first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas"},{"id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira","last_name":"Rademacher","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"article_processing_charge":"No","external_id":{"arxiv":["2005.02098"]},"title":"Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}]},{"department":[{"_id":"RoSe"}],"date_updated":"2024-02-05T09:26:31Z","article_type":"original","type":"journal_article","status":"public","_id":"14890","volume":3,"issue":"4","ec_funded":1,"publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"publication_status":"published","language":[{"iso":"eng"}],"scopus_import":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1912.11004","open_access":"1"}],"month":"10","intvolume":" 3","abstract":[{"text":"We consider a system of N interacting bosons in the mean-field scaling regime and construct corrections to the Bogoliubov dynamics that approximate the true N-body dynamics in norm to arbitrary precision. The N-independent corrections are given in terms of the solutions of the Bogoliubov and Hartree equations and satisfy a generalized form of Wick's theorem. We determine the n-point correlation functions of the excitations around the condensate, as well as the reduced densities of the N-body system, to arbitrary accuracy, given only the knowledge of the two-point functions of a quasi-free state and the solution of the Hartree equation. In this way, the complex problem of computing all n-point correlation functions for an interacting N-body system is essentially reduced to the problem of solving the Hartree equation and the PDEs for the Bogoliubov two-point functions.","lang":"eng"}],"oa_version":"Preprint","author":[{"id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","first_name":"Lea","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","last_name":"Bossmann"},{"id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","first_name":"Sören P","last_name":"Petrat","full_name":"Petrat, Sören P","orcid":"0000-0002-9166-5889"},{"last_name":"Pickl","full_name":"Pickl, Peter","first_name":"Peter"},{"last_name":"Soffer","full_name":"Soffer, Avy","first_name":"Avy"}],"article_processing_charge":"No","external_id":{"arxiv":["1912.11004"]},"title":"Beyond Bogoliubov dynamics","citation":{"mla":"Bossmann, Lea, et al. “Beyond Bogoliubov Dynamics.” Pure and Applied Analysis, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 677–726, doi:10.2140/paa.2021.3.677.","short":"L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis 3 (2021) 677–726.","ieee":"L. Bossmann, S. P. Petrat, P. Pickl, and A. Soffer, “Beyond Bogoliubov dynamics,” Pure and Applied Analysis, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 677–726, 2021.","ama":"Bossmann L, Petrat SP, Pickl P, Soffer A. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 2021;3(4):677-726. doi:10.2140/paa.2021.3.677","apa":"Bossmann, L., Petrat, S. P., Pickl, P., & Soffer, A. (2021). Beyond Bogoliubov dynamics. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2021.3.677","chicago":"Bossmann, Lea, Sören P Petrat, Peter Pickl, and Avy Soffer. “Beyond Bogoliubov Dynamics.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/paa.2021.3.677.","ista":"Bossmann L, Petrat SP, Pickl P, Soffer A. 2021. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 3(4), 677–726."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"page":"677-726","doi":"10.2140/paa.2021.3.677","date_published":"2021-10-01T00:00:00Z","date_created":"2024-01-28T23:01:43Z","year":"2021","day":"01","publication":"Pure and Applied Analysis","quality_controlled":"1","publisher":"Mathematical Sciences Publishers","oa":1,"acknowledgement":"We are grateful for the hospitality of Central China Normal University (CCNU),\r\nwhere parts of this work were done, and thank Phan Th`anh Nam, Simone\r\nRademacher, Robert Seiringer and Stefan Teufel for helpful discussions. L.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research\r\nTraining Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and the funding\r\nfrom the European Union’s Horizon 2020 research and innovation programme under the Marie\r\nSk lodowska-Curie Grant Agreement No. 754411."},{"oa_version":"Published Version","abstract":[{"text":"This thesis is the result of the research carried out by the author during his PhD at IST Austria between 2017 and 2021. It mainly focuses on the Fröhlich polaron model, specifically to its regime of strong coupling. This model, which is rigorously introduced and discussed in the introduction, has been of great interest in condensed matter physics and field theory for more than eighty years. It is used to describe an electron interacting with the atoms of a solid material (the strength of this interaction is modeled by the presence of a coupling constant α in the Hamiltonian of the system). The particular regime examined here, which is mathematically described by considering the limit α →∞, displays many interesting features related to the emergence of classical behavior, which allows for a simplified effective description of the system under analysis. The properties, the range of validity and a quantitative analysis of the precision of such classical approximations are the main object of the present work. We specify our investigation to the study of the ground state energy of the system, its dynamics and its effective mass. For each of these problems, we provide in the introduction an overview of the previously known results and a detailed account of the original contributions by the author.","lang":"eng"}],"month":"08","alternative_title":["ISTA Thesis"],"file":[{"file_id":"9944","checksum":"e88bb8ca43948abe060eb2d2fa719881","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"Thesis_FeliciangeliA.pdf","date_created":"2021-08-19T14:03:48Z","creator":"dfelicia","file_size":1958710,"date_updated":"2021-09-06T09:28:56Z"},{"creator":"dfelicia","date_updated":"2022-03-10T12:13:57Z","file_size":3771669,"date_created":"2021-08-19T14:06:35Z","file_name":"thesis.7z","access_level":"closed","relation":"source_file","content_type":"application/octet-stream","file_id":"9945","checksum":"72810843abee83705853505b3f8348aa"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["2663-337X"]},"publication_status":"published","degree_awarded":"PhD","related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"9787"},{"status":"public","id":"9792","relation":"part_of_dissertation"},{"status":"public","id":"9225","relation":"part_of_dissertation"},{"id":"9781","status":"public","relation":"part_of_dissertation"},{"id":"9791","status":"public","relation":"part_of_dissertation"}]},"ec_funded":1,"license":"https://creativecommons.org/licenses/by-nd/4.0/","_id":"9733","status":"public","type":"dissertation","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","image":"/image/cc_by_nd.png","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","short":"CC BY-ND (4.0)"},"ddc":["515","519","539"],"supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"},{"first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","full_name":"Maas, Jan","orcid":"0000-0002-0845-1338","last_name":"Maas"}],"date_updated":"2024-03-06T12:30:44Z","file_date_updated":"2022-03-10T12:13:57Z","department":[{"_id":"GradSch"},{"_id":"RoSe"},{"_id":"JaMa"}],"publisher":"Institute of Science and Technology Austria","oa":1,"day":"20","has_accepted_license":"1","year":"2021","doi":"10.15479/at:ista:9733","date_published":"2021-08-20T00:00:00Z","date_created":"2021-07-27T15:48:30Z","page":"180","project":[{"grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020","_id":"256E75B8-B435-11E9-9278-68D0E5697425"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Feliciangeli D. 2021. The polaron at strong coupling. Institute of Science and Technology Austria.","chicago":"Feliciangeli, Dario. “The Polaron at Strong Coupling.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:9733.","ama":"Feliciangeli D. The polaron at strong coupling. 2021. doi:10.15479/at:ista:9733","apa":"Feliciangeli, D. (2021). The polaron at strong coupling. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:9733","short":"D. Feliciangeli, The Polaron at Strong Coupling, Institute of Science and Technology Austria, 2021.","ieee":"D. Feliciangeli, “The polaron at strong coupling,” Institute of Science and Technology Austria, 2021.","mla":"Feliciangeli, Dario. The Polaron at Strong Coupling. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:9733."},"title":"The polaron at strong coupling","author":[{"full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530","last_name":"Feliciangeli","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario"}],"article_processing_charge":"No"},{"type":"preprint","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"status":"public","_id":"9791","article_number":"2107.03720 ","external_id":{"arxiv":["2107.03720"]},"article_processing_charge":"No","author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","last_name":"Feliciangeli"},{"first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"title":"The effective mass problem for the Landau-Pekar equations","department":[{"_id":"RoSe"}],"date_updated":"2024-03-06T12:30:45Z","citation":{"chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, n.d.","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv, 2107.03720.","mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, 2107.03720.","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” arXiv. .","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).","apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (n.d.). The effective mass problem for the Landau-Pekar equations. arXiv.","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv."},"ddc":["510"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"url":"https://arxiv.org/abs/2107.03720","open_access":"1"}],"oa":1,"month":"07","abstract":[{"lang":"eng","text":"We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by Landau and Pekar."}],"acknowledgement":"We thank Herbert Spohn for helpful comments. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged..","oa_version":"Preprint","date_created":"2021-08-06T08:49:45Z","ec_funded":1,"date_published":"2021-07-08T00:00:00Z","related_material":{"record":[{"id":"10755","status":"public","relation":"later_version"},{"relation":"dissertation_contains","status":"public","id":"9733"}]},"publication_status":"submitted","year":"2021","language":[{"iso":"eng"}],"publication":"arXiv","day":"08"},{"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:47:35Z","date_updated":"2023-08-17T13:51:50Z","ddc":["530"],"article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","_id":"6649","volume":374,"ec_funded":1,"publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"publication_status":"published","file":[{"access_level":"open_access","relation":"main_file","content_type":"application/pdf","checksum":"f9dd6dd615a698f1d3636c4a092fed23","file_id":"6668","creator":"dernst","date_updated":"2020-07-14T12:47:35Z","file_size":853289,"date_created":"2019-07-24T07:19:10Z","file_name":"2019_CommMathPhysics_Benedikter.pdf"}],"language":[{"iso":"eng"}],"scopus_import":"1","month":"03","intvolume":" 374","abstract":[{"lang":"eng","text":"While Hartree–Fock theory is well established as a fundamental approximation for interacting fermions, it has been unclear how to describe corrections to it due to many-body correlations. In this paper we start from the Hartree–Fock state given by plane waves and introduce collective particle–hole pair excitations. These pairs can be approximately described by a bosonic quadratic Hamiltonian. We use Bogoliubov theory to construct a trial state yielding a rigorous Gell-Mann–Brueckner–type upper bound to the ground state energy. Our result justifies the random-phase approximation in the mean-field scaling regime, for repulsive, regular interaction potentials.\r\n"}],"oa_version":"Published Version","author":[{"first_name":"Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091","full_name":"Benedikter, Niels P","last_name":"Benedikter"},{"full_name":"Nam, Phan Thành","last_name":"Nam","first_name":"Phan Thành"},{"first_name":"Marcello","full_name":"Porta, Marcello","last_name":"Porta"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","external_id":{"arxiv":["1809.01902"],"isi":["000527910700019"]},"title":"Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime","citation":{"chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s00220-019-03505-5.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2020. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 374, 2097–2150.","mla":"Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics, vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:10.1007/s00220-019-03505-5.","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime,” Communications in Mathematical Physics, vol. 374. Springer Nature, pp. 2097–2150, 2020.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 2020;374:2097–2150. doi:10.1007/s00220-019-03505-5","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2020). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03505-5"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","project":[{"name":"FWF Open Access Fund","_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1","call_identifier":"FWF"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"page":"2097–2150","date_published":"2020-03-01T00:00:00Z","doi":"10.1007/s00220-019-03505-5","date_created":"2019-07-18T13:30:04Z","has_accepted_license":"1","isi":1,"year":"2020","day":"01","publication":"Communications in Mathematical Physics","publisher":"Springer Nature","quality_controlled":"1","oa":1},{"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"title":"Higher order corrections to the mean-field description of the dynamics of interacting bosons","author":[{"id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","first_name":"Lea","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","last_name":"Bossmann"},{"full_name":"Pavlović, Nataša","last_name":"Pavlović","first_name":"Nataša"},{"first_name":"Peter","last_name":"Pickl","full_name":"Pickl, Peter"},{"first_name":"Avy","full_name":"Soffer, Avy","last_name":"Soffer"}],"external_id":{"arxiv":["1905.06164"],"isi":["000516342200001"]},"article_processing_charge":"Yes (via OA deal)","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Bossmann, Lea, Nataša Pavlović, Peter Pickl, and Avy Soffer. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-020-02500-8.","ista":"Bossmann L, Pavlović N, Pickl P, Soffer A. 2020. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. 178, 1362–1396.","mla":"Bossmann, Lea, et al. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” Journal of Statistical Physics, vol. 178, Springer Nature, 2020, pp. 1362–96, doi:10.1007/s10955-020-02500-8.","short":"L. Bossmann, N. Pavlović, P. Pickl, A. Soffer, Journal of Statistical Physics 178 (2020) 1362–1396.","ieee":"L. Bossmann, N. Pavlović, P. Pickl, and A. Soffer, “Higher order corrections to the mean-field description of the dynamics of interacting bosons,” Journal of Statistical Physics, vol. 178. Springer Nature, pp. 1362–1396, 2020.","apa":"Bossmann, L., Pavlović, N., Pickl, P., & Soffer, A. (2020). Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-020-02500-8","ama":"Bossmann L, Pavlović N, Pickl P, Soffer A. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. 2020;178:1362-1396. doi:10.1007/s10955-020-02500-8"},"publisher":"Springer Nature","quality_controlled":"1","oa":1,"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nL.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research Training Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and wishes to thank Stefan Teufel, Sören Petrat and Marcello Porta for helpful discussions. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. N.P. gratefully acknowledges support from NSF grant DMS-1516228 and DMS-1840314. P.P.’s research was funded by DFG Grant no. PI 1114/3-1. Part of this work was done when N.P. and P.P. were visiting CCNU, Wuhan. N.P. and P.P. thank A.S. for his hospitality at CCNU.","doi":"10.1007/s10955-020-02500-8","date_published":"2020-02-21T00:00:00Z","date_created":"2020-02-23T09:45:51Z","page":"1362-1396","day":"21","publication":"Journal of Statistical Physics","has_accepted_license":"1","isi":1,"year":"2020","status":"public","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"7508","department":[{"_id":"RoSe"}],"file_date_updated":"2020-11-20T09:26:46Z","ddc":["510"],"date_updated":"2023-08-18T06:37:46Z","month":"02","intvolume":" 178","scopus_import":"1","oa_version":"Published Version","abstract":[{"text":"In this paper, we introduce a novel method for deriving higher order corrections to the mean-field description of the dynamics of interacting bosons. More precisely, we consider the dynamics of N d-dimensional bosons for large N. The bosons initially form a Bose–Einstein condensate and interact with each other via a pair potential of the form (N−1)−1Ndβv(Nβ·)forβ∈[0,14d). We derive a sequence of N-body functions which approximate the true many-body dynamics in L2(RdN)-norm to arbitrary precision in powers of N−1. The approximating functions are constructed as Duhamel expansions of finite order in terms of the first quantised analogue of a Bogoliubov time evolution.","lang":"eng"}],"volume":178,"ec_funded":1,"file":[{"creator":"dernst","file_size":576726,"date_updated":"2020-11-20T09:26:46Z","file_name":"2020_JournStatPhysics_Bossmann.pdf","date_created":"2020-11-20T09:26:46Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"file_id":"8780","checksum":"643e230bf147e64d9cdb3f6cc573679d"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"publication_status":"published"},{"oa_version":"Published Version","abstract":[{"lang":"eng","text":"We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density 𝜌 and inverse temperature 𝛽 differs from the one of the noninteracting system by the correction term 𝜋𝜌𝜌𝛽𝛽 . Here, is the scattering length of the interaction potential, and 𝛽 is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. The result is valid in the dilute limit 𝜌 and if 𝛽𝜌 ."}],"intvolume":" 8","month":"03","scopus_import":"1","language":[{"iso":"eng"}],"file":[{"file_id":"7797","checksum":"8a64da99d107686997876d7cad8cfe1e","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_name":"2020_ForumMath_Deuchert.pdf","date_created":"2020-05-04T12:02:41Z","file_size":692530,"date_updated":"2020-07-14T12:48:03Z","creator":"dernst"}],"publication_status":"published","publication_identifier":{"eissn":["20505094"]},"ec_funded":1,"related_material":{"record":[{"status":"public","id":"7524","relation":"earlier_version"}]},"volume":8,"_id":"7790","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","ddc":["510"],"date_updated":"2023-08-21T06:18:49Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:48:03Z","oa":1,"quality_controlled":"1","publisher":"Cambridge University Press","publication":"Forum of Mathematics, Sigma","day":"14","year":"2020","isi":1,"has_accepted_license":"1","date_created":"2020-05-03T22:00:48Z","date_published":"2020-03-14T00:00:00Z","doi":"10.1017/fms.2020.17","article_number":"e20","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma. Cambridge University Press, 2020. https://doi.org/10.1017/fms.2020.17.","ista":"Deuchert A, Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 8, e20.","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma, vol. 8, e20, Cambridge University Press, 2020, doi:10.1017/fms.2020.17.","short":"A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” Forum of Mathematics, Sigma, vol. 8. Cambridge University Press, 2020.","ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 2020;8. doi:10.1017/fms.2020.17","apa":"Deuchert, A., Mayer, S., & Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2020.17"},"title":"The free energy of the two-dimensional dilute Bose gas. I. Lower bound","article_processing_charge":"No","external_id":{"arxiv":["1910.03372"],"isi":["000527342000001"]},"author":[{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","last_name":"Deuchert","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746"},{"id":"30C4630A-F248-11E8-B48F-1D18A9856A87","first_name":"Simon","last_name":"Mayer","full_name":"Mayer, Simon"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}]},{"status":"public","article_type":"original","type":"journal_article","_id":"8042","department":[{"_id":"RoSe"}],"date_updated":"2023-08-22T07:47:04Z","intvolume":" 22","month":"07","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1704.04819"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"lang":"eng","text":"We consider systems of N bosons in a box of volume one, interacting through a repulsive two-body potential of the form κN3β−1V(Nβx). For all 0<β<1, and for sufficiently small coupling constant κ>0, we establish the validity of Bogolyubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large N."}],"volume":22,"issue":"7","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["14359855"]},"title":"The excitation spectrum of Bose gases interacting through singular potentials","article_processing_charge":"No","external_id":{"isi":["000548174700006"],"arxiv":["1704.04819"]},"author":[{"last_name":"Boccato","full_name":"Boccato, Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","first_name":"Chiara"},{"full_name":"Brennecke, Christian","last_name":"Brennecke","first_name":"Christian"},{"last_name":"Cenatiempo","full_name":"Cenatiempo, Serena","first_name":"Serena"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” Journal of the European Mathematical Society. European Mathematical Society, 2020. https://doi.org/10.4171/JEMS/966.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 22(7), 2331–2403.","mla":"Boccato, Chiara, et al. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” Journal of the European Mathematical Society, vol. 22, no. 7, European Mathematical Society, 2020, pp. 2331–403, doi:10.4171/JEMS/966.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Journal of the European Mathematical Society 22 (2020) 2331–2403.","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “The excitation spectrum of Bose gases interacting through singular potentials,” Journal of the European Mathematical Society, vol. 22, no. 7. European Mathematical Society, pp. 2331–2403, 2020.","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2020). The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/966","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 2020;22(7):2331-2403. doi:10.4171/JEMS/966"},"oa":1,"quality_controlled":"1","publisher":"European Mathematical Society","date_created":"2020-06-29T07:59:35Z","date_published":"2020-07-01T00:00:00Z","doi":"10.4171/JEMS/966","page":"2331-2403","publication":"Journal of the European Mathematical Society","day":"01","year":"2020","isi":1},{"has_accepted_license":"1","isi":1,"year":"2020","day":"01","publication":"Journal of Statistical Physics","page":"448-464","date_published":"2020-10-01T00:00:00Z","doi":"10.1007/s10955-020-02586-0","date_created":"2020-07-05T22:00:46Z","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nThe work of R.S. was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No 694227). J.Y. gratefully acknowledges hospitality at the LPMMC Grenoble and valuable discussions with Alessandro Olgiati and Nicolas Rougerie. ","publisher":"Springer","quality_controlled":"1","oa":1,"citation":{"chicago":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics. Springer, 2020. https://doi.org/10.1007/s10955-020-02586-0.","ista":"Seiringer R, Yngvason J. 2020. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 181, 448–464.","mla":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics, vol. 181, Springer, 2020, pp. 448–64, doi:10.1007/s10955-020-02586-0.","short":"R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.","ieee":"R. Seiringer and J. Yngvason, “Emergence of Haldane pseudo-potentials in systems with short-range interactions,” Journal of Statistical Physics, vol. 181. Springer, pp. 448–464, 2020.","apa":"Seiringer, R., & Yngvason, J. (2020). Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-020-02586-0","ama":"Seiringer R, Yngvason J. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 2020;181:448-464. doi:10.1007/s10955-020-02586-0"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"external_id":{"arxiv":["2001.07144"],"isi":["000543030000002"]},"article_processing_charge":"Yes (via OA deal)","title":"Emergence of Haldane pseudo-potentials in systems with short-range interactions","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"publication_identifier":{"issn":["00224715"],"eissn":["15729613"]},"publication_status":"published","file":[{"creator":"dernst","date_updated":"2020-11-25T15:05:04Z","file_size":404778,"date_created":"2020-11-25T15:05:04Z","file_name":"2020_JourStatPhysics_Seiringer.pdf","access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_id":"8812","checksum":"5cbeef52caf18d0d952f17fed7b5545a","success":1}],"language":[{"iso":"eng"}],"volume":181,"ec_funded":1,"abstract":[{"text":"In the setting of the fractional quantum Hall effect we study the effects of strong, repulsive two-body interaction potentials of short range. We prove that Haldane’s pseudo-potential operators, including their pre-factors, emerge as mathematically rigorous limits of such interactions when the range of the potential tends to zero while its strength tends to infinity. In a common approach the interaction potential is expanded in angular momentum eigenstates in the lowest Landau level, which amounts to taking the pre-factors to be the moments of the potential. Such a procedure is not appropriate for very strong interactions, however, in particular not in the case of hard spheres. We derive the formulas valid in the short-range case, which involve the scattering lengths of the interaction potential in different angular momentum channels rather than its moments. Our results hold for bosons and fermions alike and generalize previous results in [6], which apply to bosons in the lowest angular momentum channel. Our main theorem asserts the convergence in a norm-resolvent sense of the Hamiltonian on the whole Hilbert space, after appropriate energy scalings, to Hamiltonians with contact interactions in the lowest Landau level.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","month":"10","intvolume":" 181","date_updated":"2023-08-22T07:51:47Z","ddc":["530"],"file_date_updated":"2020-11-25T15:05:04Z","department":[{"_id":"RoSe"}],"_id":"8091","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public"},{"article_type":"original","type":"journal_article","status":"public","_id":"8134","department":[{"_id":"RoSe"}],"date_updated":"2023-08-22T08:12:40Z","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/2002.08281","open_access":"1"}],"month":"06","intvolume":" 61","abstract":[{"text":"We prove an upper bound on the free energy of a two-dimensional homogeneous Bose gas in the thermodynamic limit. We show that for a2ρ ≪ 1 and βρ ≳ 1, the free energy per unit volume differs from the one of the non-interacting system by at most 4πρ2|lna2ρ|−1(2−[1−βc/β]2+) to leading order, where a is the scattering length of the two-body interaction potential, ρ is the density, β is the inverse temperature, and βc is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. In combination with the corresponding matching lower bound proved by Deuchert et al. [Forum Math. Sigma 8, e20 (2020)], this shows equality in the asymptotic expansion.","lang":"eng"}],"oa_version":"Preprint","issue":"6","volume":61,"ec_funded":1,"publication_identifier":{"issn":["00222488"]},"publication_status":"published","language":[{"iso":"eng"}],"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"article_number":"061901","author":[{"first_name":"Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","full_name":"Mayer, Simon","last_name":"Mayer"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"arxiv":["2002.08281"],"isi":["000544595100001"]},"article_processing_charge":"No","title":"The free energy of the two-dimensional dilute Bose gas. II. Upper bound","citation":{"short":"S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).","ieee":"S. Mayer and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. II. Upper bound,” Journal of Mathematical Physics, vol. 61, no. 6. AIP Publishing, 2020.","apa":"Mayer, S., & Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0005950","ama":"Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. 2020;61(6). doi:10.1063/5.0005950","mla":"Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics, vol. 61, no. 6, 061901, AIP Publishing, 2020, doi:10.1063/5.0005950.","ista":"Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. 61(6), 061901.","chicago":"Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics. AIP Publishing, 2020. https://doi.org/10.1063/5.0005950."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"AIP Publishing","quality_controlled":"1","oa":1,"date_published":"2020-06-22T00:00:00Z","doi":"10.1063/5.0005950","date_created":"2020-07-19T22:00:59Z","isi":1,"year":"2020","day":"22","publication":"Journal of Mathematical Physics"},{"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Yakaboylu, Enderalp, et al. “Quantum Impurity Model for Anyons.” Physical Review B, vol. 102, no. 14, 144109, American Physical Society, 2020, doi:10.1103/physrevb.102.144109.","ieee":"E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, and R. Seiringer, “Quantum impurity model for anyons,” Physical Review B, vol. 102, no. 14. American Physical Society, 2020.","short":"E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).","apa":"Yakaboylu, E., Ghazaryan, A., Lundholm, D., Rougerie, N., Lemeshko, M., & Seiringer, R. (2020). Quantum impurity model for anyons. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.102.144109","ama":"Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R. Quantum impurity model for anyons. Physical Review B. 2020;102(14). doi:10.1103/physrevb.102.144109","chicago":"Yakaboylu, Enderalp, Areg Ghazaryan, D. Lundholm, N. Rougerie, Mikhail Lemeshko, and Robert Seiringer. “Quantum Impurity Model for Anyons.” Physical Review B. American Physical Society, 2020. https://doi.org/10.1103/physrevb.102.144109.","ista":"Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R. 2020. Quantum impurity model for anyons. Physical Review B. 102(14), 144109."},"title":"Quantum impurity model for anyons","author":[{"last_name":"Yakaboylu","orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp","first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Ghazaryan","full_name":"Ghazaryan, Areg","orcid":"0000-0001-9666-3543","first_name":"Areg","id":"4AF46FD6-F248-11E8-B48F-1D18A9856A87"},{"first_name":"D.","full_name":"Lundholm, D.","last_name":"Lundholm"},{"first_name":"N.","full_name":"Rougerie, N.","last_name":"Rougerie"},{"id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail","full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","last_name":"Lemeshko"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"article_processing_charge":"No","external_id":{"isi":["000582563300001"],"arxiv":["1912.07890"]},"article_number":"144109","project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"},{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"name":"Angulon: physics and applications of a new quasiparticle","grant_number":"801770","_id":"2688CF98-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"day":"01","publication":"Physical Review B","isi":1,"year":"2020","date_published":"2020-10-01T00:00:00Z","doi":"10.1103/physrevb.102.144109","date_created":"2020-11-18T07:34:17Z","acknowledgement":"We are grateful to M. Correggi, A. Deuchert, and P. Schmelcher for valuable discussions. We also thank the anonymous referees for helping to clarify a few important points in the experimental realization. A.G. acknowledges support by the European Unions Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement\r\nNo 754411. D.L. acknowledges financial support from the Goran Gustafsson Foundation (grant no. 1804) and LMU Munich. R.S., M.L., and N.R. gratefully acknowledge financial support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 694227, No 801770, and No 758620, respectively).","publisher":"American Physical Society","quality_controlled":"1","oa":1,"date_updated":"2023-09-05T12:12:30Z","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"_id":"8769","status":"public","article_type":"original","type":"journal_article","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"publication_status":"published","volume":102,"issue":"14","ec_funded":1,"oa_version":"Preprint","abstract":[{"lang":"eng","text":"One of the hallmarks of quantum statistics, tightly entwined with the concept of topological phases of matter, is the prediction of anyons. Although anyons are predicted to be realized in certain fractional quantum Hall systems, they have not yet been unambiguously detected in experiment. Here we introduce a simple quantum impurity model, where bosonic or fermionic impurities turn into anyons as a consequence of their interaction with the surrounding many-particle bath. A cloud of phonons dresses each impurity in such a way that it effectively attaches fluxes or vortices to it and thereby converts it into an Abelian anyon. The corresponding quantum impurity model, first, provides a different approach to the numerical solution of the many-anyon problem, along with a concrete perspective of anyons as emergent quasiparticles built from composite bosons or fermions. More importantly, the model paves the way toward realizing anyons using impurities in crystal lattices as well as ultracold gases. In particular, we consider two heavy electrons interacting with a two-dimensional lattice crystal in a magnetic field, and show that when the impurity-bath system is rotated at the cyclotron frequency, impurities behave as anyons as a consequence of the angular momentum exchange between the impurities and the bath. A possible experimental realization is proposed by identifying the statistics parameter in terms of the mean-square distance of the impurities and the magnetization of the impurity-bath system, both of which are accessible to experiment. Another proposed application is impurities immersed in a two-dimensional weakly interacting Bose gas."}],"month":"10","intvolume":" 102","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.07890"}]},{"file_date_updated":"2020-11-20T13:17:42Z","department":[{"_id":"RoSe"}],"ddc":["510"],"date_updated":"2023-09-05T14:18:49Z","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","_id":"7650","ec_funded":1,"issue":"6","volume":236,"language":[{"iso":"eng"}],"file":[{"file_name":"2020_ArchRatMechanicsAnalysis_Deuchert.pdf","date_created":"2020-11-20T13:17:42Z","creator":"dernst","file_size":704633,"date_updated":"2020-11-20T13:17:42Z","success":1,"checksum":"b645fb64bfe95bbc05b3eea374109a9c","file_id":"8785","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"publication_status":"published","publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"intvolume":" 236","month":"03","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We consider a dilute, homogeneous Bose gas at positive temperature. The system is investigated in the Gross–Pitaevskii limit, where the scattering length a is so small that the interaction energy is of the same order of magnitude as the spectral gap of the Laplacian, and for temperatures that are comparable to the critical temperature of the ideal gas. We show that the difference between the specific free energy of the interacting system and the one of the ideal gas is to leading order given by 4πa(2ϱ2−ϱ20). Here ϱ denotes the density of the system and ϱ0 is the expected condensate density of the ideal gas. Additionally, we show that the one-particle density matrix of any approximate minimizer of the Gibbs free energy functional is to leading order given by the one of the ideal gas. This in particular proves Bose–Einstein condensation with critical temperature given by the one of the ideal gas to leading order. One key ingredient of our proof is a novel use of the Gibbs variational principle that goes hand in hand with the c-number substitution."}],"title":"Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature","external_id":{"arxiv":["1901.11363"],"isi":["000519415000001"]},"article_processing_charge":"Yes (via OA deal)","author":[{"last_name":"Deuchert","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis, vol. 236, no. 6, Springer Nature, 2020, pp. 1217–71, doi:10.1007/s00205-020-01489-4.","ieee":"A. Deuchert and R. Seiringer, “Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature,” Archive for Rational Mechanics and Analysis, vol. 236, no. 6. Springer Nature, pp. 1217–1271, 2020.","short":"A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.","apa":"Deuchert, A., & Seiringer, R. (2020). Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-020-01489-4","ama":"Deuchert A, Seiringer R. Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. 2020;236(6):1217-1271. doi:10.1007/s00205-020-01489-4","chicago":"Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis. Springer Nature, 2020. https://doi.org/10.1007/s00205-020-01489-4.","ista":"Deuchert A, Seiringer R. 2020. Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. 236(6), 1217–1271."},"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"date_created":"2020-04-08T15:18:03Z","doi":"10.1007/s00205-020-01489-4","date_published":"2020-03-09T00:00:00Z","page":"1217-1271","publication":"Archive for Rational Mechanics and Analysis","day":"09","year":"2020","has_accepted_license":"1","isi":1,"oa":1,"quality_controlled":"1","publisher":"Springer Nature","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). It is a pleasure to thank Jakob Yngvason for helpful discussions. Financial support by the European Research Council (ERC) under the European Union’sHorizon 2020 research and innovation programme (Grant Agreement No. 694227) is gratefully acknowledged. A. D. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 836146."},{"abstract":[{"text":"We study the dynamics of a system of N interacting bosons in a disc-shaped trap, which is realised by an external potential that confines the bosons in one spatial dimension to an interval of length of order ε. The interaction is non-negative and scaled in such a way that its scattering length is of order ε/N, while its range is proportional to (ε/N)β with scaling parameter β∈(0,1]. We consider the simultaneous limit (N,ε)→(∞,0) and assume that the system initially exhibits Bose–Einstein condensation. We prove that condensation is preserved by the N-body dynamics, where the time-evolved condensate wave function is the solution of a two-dimensional non-linear equation. The strength of the non-linearity depends on the scaling parameter β. For β∈(0,1), we obtain a cubic defocusing non-linear Schrödinger equation, while the choice β=1 yields a Gross–Pitaevskii equation featuring the scattering length of the interaction. In both cases, the coupling parameter depends on the confining potential.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","month":"11","intvolume":" 238","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"publication_status":"published","file":[{"file_id":"8826","checksum":"cc67a79a67bef441625fcb1cd031db3d","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2020-12-02T08:50:38Z","file_name":"2020_ArchiveRatMech_Bossmann.pdf","date_updated":"2020-12-02T08:50:38Z","file_size":942343,"creator":"dernst"}],"language":[{"iso":"eng"}],"issue":"11","volume":238,"ec_funded":1,"_id":"8130","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","date_updated":"2023-09-05T14:19:06Z","ddc":["510"],"file_date_updated":"2020-12-02T08:50:38Z","department":[{"_id":"RoSe"}],"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). I thank Stefan Teufel for helpful remarks and for his involvement in the closely related joint project [10]. Helpful discussions with Serena Cenatiempo and Nikolai Leopold are gratefully acknowledged. This work was supported by the German Research Foundation within the Research Training Group 1838 “Spectral Theory and Dynamics of Quantum Systems” and has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411.","publisher":"Springer Nature","quality_controlled":"1","oa":1,"isi":1,"has_accepted_license":"1","year":"2020","day":"01","publication":"Archive for Rational Mechanics and Analysis","page":"541-606","date_published":"2020-11-01T00:00:00Z","doi":"10.1007/s00205-020-01548-w","date_created":"2020-07-18T15:06:35Z","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"citation":{"mla":"Bossmann, Lea. “Derivation of the 2d Gross–Pitaevskii Equation for Strongly Confined 3d Bosons.” Archive for Rational Mechanics and Analysis, vol. 238, no. 11, Springer Nature, 2020, pp. 541–606, doi:10.1007/s00205-020-01548-w.","ieee":"L. Bossmann, “Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons,” Archive for Rational Mechanics and Analysis, vol. 238, no. 11. Springer Nature, pp. 541–606, 2020.","short":"L. Bossmann, Archive for Rational Mechanics and Analysis 238 (2020) 541–606.","apa":"Bossmann, L. (2020). Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-020-01548-w","ama":"Bossmann L. Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons. Archive for Rational Mechanics and Analysis. 2020;238(11):541-606. doi:10.1007/s00205-020-01548-w","chicago":"Bossmann, Lea. “Derivation of the 2d Gross–Pitaevskii Equation for Strongly Confined 3d Bosons.” Archive for Rational Mechanics and Analysis. Springer Nature, 2020. https://doi.org/10.1007/s00205-020-01548-w.","ista":"Bossmann L. 2020. Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons. Archive for Rational Mechanics and Analysis. 238(11), 541–606."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"last_name":"Bossmann","full_name":"Bossmann, Lea","orcid":"0000-0002-6854-1343","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","first_name":"Lea"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000550164400001"],"arxiv":["1907.04547"]},"title":"Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons"},{"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"citation":{"mla":"Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics, vol. 180, Springer Nature, 2020, pp. 23–33, doi:10.1007/s10955-019-02322-3.","ieee":"E. H. Lieb and R. Seiringer, “Divergence of the effective mass of a polaron in the strong coupling limit,” Journal of Statistical Physics, vol. 180. Springer Nature, pp. 23–33, 2020.","short":"E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.","ama":"Lieb EH, Seiringer R. Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. 2020;180:23-33. doi:10.1007/s10955-019-02322-3","apa":"Lieb, E. H., & Seiringer, R. (2020). Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-019-02322-3","chicago":"Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-019-02322-3.","ista":"Lieb EH, Seiringer R. 2020. Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. 180, 23–33."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"first_name":"Elliott H.","full_name":"Lieb, Elliott H.","last_name":"Lieb"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"external_id":{"isi":["000556199700003"]},"article_processing_charge":"Yes (via OA deal)","title":"Divergence of the effective mass of a polaron in the strong coupling limit","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227; R.S.) is gratefully acknowledged.","quality_controlled":"1","publisher":"Springer Nature","oa":1,"isi":1,"has_accepted_license":"1","year":"2020","day":"01","publication":"Journal of Statistical Physics","page":"23-33","doi":"10.1007/s10955-019-02322-3","date_published":"2020-09-01T00:00:00Z","date_created":"2020-01-07T09:42:03Z","_id":"7235","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","date_updated":"2023-09-05T14:57:29Z","ddc":["510","530"],"file_date_updated":"2020-11-19T11:13:55Z","department":[{"_id":"RoSe"}],"abstract":[{"text":"We consider the Fröhlich model of a polaron, and show that its effective mass diverges in thestrong coupling limit.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","month":"09","intvolume":" 180","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"publication_status":"published","file":[{"creator":"dernst","file_size":279749,"date_updated":"2020-11-19T11:13:55Z","file_name":"2020_JourStatPhysics_Lieb.pdf","date_created":"2020-11-19T11:13:55Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"file_id":"8774","checksum":"1e67bee6728592f7bdcea2ad2d9366dc"}],"language":[{"iso":"eng"}],"volume":180,"ec_funded":1},{"ddc":["510"],"date_updated":"2023-09-05T15:14:50Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-11-20T12:04:26Z","_id":"7611","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","language":[{"iso":"eng"}],"file":[{"file_size":478683,"date_updated":"2020-11-20T12:04:26Z","creator":"dernst","file_name":"2020_LettersMathPhysics_Rademacher.pdf","date_created":"2020-11-20T12:04:26Z","content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"file_id":"8784","checksum":"3bdd41f10ad947b67a45b98f507a7d4a"}],"publication_status":"published","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"ec_funded":1,"volume":110,"oa_version":"Published Version","abstract":[{"lang":"eng","text":"We consider a system of N bosons in the limit N→∞, interacting through singular potentials. For initial data exhibiting Bose–Einstein condensation, the many-body time evolution is well approximated through a quadratic fluctuation dynamics around a cubic nonlinear Schrödinger equation of the condensate wave function. We show that these fluctuations satisfy a (multi-variate) central limit theorem."}],"intvolume":" 110","month":"03","scopus_import":"1","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” Letters in Mathematical Physics, vol. 110, Springer Nature, 2020, pp. 2143–74, doi:10.1007/s11005-020-01286-w.","ama":"Rademacher SAE. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 2020;110:2143-2174. doi:10.1007/s11005-020-01286-w","apa":"Rademacher, S. A. E. (2020). Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-020-01286-w","ieee":"S. A. E. Rademacher, “Central limit theorem for Bose gases interacting through singular potentials,” Letters in Mathematical Physics, vol. 110. Springer Nature, pp. 2143–2174, 2020.","short":"S.A.E. Rademacher, Letters in Mathematical Physics 110 (2020) 2143–2174.","chicago":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” Letters in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s11005-020-01286-w.","ista":"Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 110, 2143–2174."},"title":"Central limit theorem for Bose gases interacting through singular potentials","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000551556000006"]},"author":[{"first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466"}],"project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"publication":"Letters in Mathematical Physics","day":"12","year":"2020","has_accepted_license":"1","isi":1,"date_created":"2020-03-23T11:11:47Z","doi":"10.1007/s11005-020-01286-w","date_published":"2020-03-12T00:00:00Z","page":"2143-2174","acknowledgement":"Simone Rademacher acknowledges partial support from the NCCR SwissMAP. This project has received\r\nfunding from the European Union’s Horizon 2020 research and innovation program under the Marie\r\nSkłodowska-Curie Grant Agreement No. 754411.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).\r\nS.R. would like to thank Benjamin Schlein for many fruitful discussions.","oa":1,"quality_controlled":"1","publisher":"Springer Nature"},{"date_updated":"2023-09-07T13:12:42Z","supervisor":[{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"ddc":["510"],"department":[{"_id":"RoSe"},{"_id":"GradSch"}],"file_date_updated":"2020-07-14T12:47:59Z","_id":"7514","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"dissertation","status":"public","publication_status":"published","degree_awarded":"PhD","publication_identifier":{"issn":["2663-337X"]},"language":[{"iso":"eng"}],"file":[{"creator":"dernst","file_size":1563429,"date_updated":"2020-07-14T12:47:59Z","file_name":"thesis.pdf","date_created":"2020-02-24T09:15:06Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_id":"7515","checksum":"b4de7579ddc1dbdd44ff3f17c48395f6"},{"creator":"dernst","file_size":2028038,"date_updated":"2020-07-14T12:47:59Z","file_name":"thesis_source.zip","date_created":"2020-02-24T09:15:16Z","relation":"source_file","access_level":"closed","content_type":"application/x-zip-compressed","checksum":"ad7425867b52d7d9e72296e87bc9cb67","file_id":"7516"}],"ec_funded":1,"related_material":{"record":[{"id":"7524","status":"public","relation":"part_of_dissertation"}]},"abstract":[{"text":"We study the interacting homogeneous Bose gas in two spatial dimensions in the thermodynamic limit at fixed density. We shall be concerned with some mathematical aspects of this complicated problem in many-body quantum mechanics. More specifically, we consider the dilute limit where the scattering length of the interaction potential, which is a measure for the effective range of the potential, is small compared to the average distance between the particles. We are interested in a setting with positive (i.e., non-zero) temperature. After giving a survey of the relevant literature in the field, we provide some facts and examples to set expectations for the two-dimensional system. The crucial difference to the three-dimensional system is that there is no Bose–Einstein condensate at positive temperature due to the Hohenberg–Mermin–Wagner theorem. However, it turns out that an asymptotic formula for the free energy holds similarly to the three-dimensional case.\r\nWe motivate this formula by considering a toy model with δ interaction potential. By restricting this model Hamiltonian to certain trial states with a quasi-condensate we obtain an upper bound for the free energy that still has the quasi-condensate fraction as a free parameter. When minimizing over the quasi-condensate fraction, we obtain the Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity, which plays an important role in our rigorous contribution. The mathematically rigorous result that we prove concerns the specific free energy in the dilute limit. We give upper and lower bounds on the free energy in terms of the free energy of the non-interacting system and a correction term coming from the interaction. Both bounds match and thus we obtain the leading term of an asymptotic approximation in the dilute limit, provided the thermal wavelength of the particles is of the same order (or larger) than the average distance between the particles. The remarkable feature of this result is its generality: the correction term depends on the interaction potential only through its scattering length and it holds for all nonnegative interaction potentials with finite scattering length that are measurable. In particular, this allows to model an interaction of hard disks.","lang":"eng"}],"oa_version":"Published Version","alternative_title":["ISTA Thesis"],"month":"02","citation":{"ista":"Mayer S. 2020. The free energy of a dilute two-dimensional Bose gas. Institute of Science and Technology Austria.","chicago":"Mayer, Simon. “The Free Energy of a Dilute Two-Dimensional Bose Gas.” Institute of Science and Technology Austria, 2020. https://doi.org/10.15479/AT:ISTA:7514.","ama":"Mayer S. The free energy of a dilute two-dimensional Bose gas. 2020. doi:10.15479/AT:ISTA:7514","apa":"Mayer, S. (2020). The free energy of a dilute two-dimensional Bose gas. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:7514","ieee":"S. Mayer, “The free energy of a dilute two-dimensional Bose gas,” Institute of Science and Technology Austria, 2020.","short":"S. Mayer, The Free Energy of a Dilute Two-Dimensional Bose Gas, Institute of Science and Technology Austria, 2020.","mla":"Mayer, Simon. The Free Energy of a Dilute Two-Dimensional Bose Gas. Institute of Science and Technology Austria, 2020, doi:10.15479/AT:ISTA:7514."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"No","author":[{"id":"30C4630A-F248-11E8-B48F-1D18A9856A87","first_name":"Simon","full_name":"Mayer, Simon","last_name":"Mayer"}],"title":"The free energy of a dilute two-dimensional Bose gas","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"year":"2020","has_accepted_license":"1","day":"24","page":"148","date_created":"2020-02-24T09:17:27Z","date_published":"2020-02-24T00:00:00Z","doi":"10.15479/AT:ISTA:7514","oa":1,"publisher":"Institute of Science and Technology Austria"},{"keyword":["Physical and Theoretical Chemistry","General Physics and Astronomy"],"status":"public","type":"journal_article","article_type":"original","_id":"8587","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"date_updated":"2023-09-07T13:16:42Z","intvolume":" 152","month":"04","main_file_link":[{"url":"https://arxiv.org/abs/1912.02658","open_access":"1"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"Inspired by the possibility to experimentally manipulate and enhance chemical reactivity in helium nanodroplets, we investigate the effective interaction and the resulting correlations between two diatomic molecules immersed in a bath of bosons. By analogy with the bipolaron, we introduce the biangulon quasiparticle describing two rotating molecules that align with respect to each other due to the effective attractive interaction mediated by the excitations of the bath. We study this system in different parameter regimes and apply several theoretical approaches to describe its properties. Using a Born–Oppenheimer approximation, we investigate the dependence of the effective intermolecular interaction on the rotational state of the two molecules. In the strong-coupling regime, a product-state ansatz shows that the molecules tend to have a strong alignment in the ground state. To investigate the system in the weak-coupling regime, we apply a one-phonon excitation variational ansatz, which allows us to access the energy spectrum. In comparison to the angulon quasiparticle, the biangulon shows shifted angulon instabilities and an additional spectral instability, where resonant angular momentum transfer between the molecules and the bath takes place. These features are proposed as an experimentally observable signature for the formation of the biangulon quasiparticle. Finally, by using products of single angulon and bare impurity wave functions as basis states, we introduce a diagonalization scheme that allows us to describe the transition from two separated angulons to a biangulon as a function of the distance between the two molecules."}],"ec_funded":1,"volume":152,"related_material":{"record":[{"id":"8958","status":"public","relation":"dissertation_contains"}]},"issue":"16","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"eissn":["1089-7690"],"issn":["0021-9606"]},"project":[{"_id":"26031614-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Quantum rotations in the presence of a many-body environment","grant_number":"P29902"},{"grant_number":"801770","name":"Angulon: physics and applications of a new quasiparticle","call_identifier":"H2020","_id":"2688CF98-B435-11E9-9278-68D0E5697425"},{"name":"A path-integral approach to composite impurities","grant_number":"M02641","_id":"26986C82-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"article_number":"164302","title":"Intermolecular forces and correlations mediated by a phonon bath","article_processing_charge":"No","external_id":{"isi":["000530448300001"],"arxiv":["1912.02658"]},"author":[{"last_name":"Li","full_name":"Li, Xiang","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","first_name":"Xiang"},{"id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","first_name":"Enderalp","last_name":"Yakaboylu","orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp"},{"orcid":"0000-0001-8823-9777","full_name":"Bighin, Giacomo","last_name":"Bighin","first_name":"Giacomo","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Richard","full_name":"Schmidt, Richard","last_name":"Schmidt"},{"orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","last_name":"Lemeshko","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"},{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","last_name":"Deuchert"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Li, Xiang, et al. “Intermolecular Forces and Correlations Mediated by a Phonon Bath.” The Journal of Chemical Physics, vol. 152, no. 16, 164302, AIP Publishing, 2020, doi:10.1063/1.5144759.","ieee":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, and A. Deuchert, “Intermolecular forces and correlations mediated by a phonon bath,” The Journal of Chemical Physics, vol. 152, no. 16. AIP Publishing, 2020.","short":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, A. Deuchert, The Journal of Chemical Physics 152 (2020).","apa":"Li, X., Yakaboylu, E., Bighin, G., Schmidt, R., Lemeshko, M., & Deuchert, A. (2020). Intermolecular forces and correlations mediated by a phonon bath. The Journal of Chemical Physics. AIP Publishing. https://doi.org/10.1063/1.5144759","ama":"Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. Intermolecular forces and correlations mediated by a phonon bath. The Journal of Chemical Physics. 2020;152(16). doi:10.1063/1.5144759","chicago":"Li, Xiang, Enderalp Yakaboylu, Giacomo Bighin, Richard Schmidt, Mikhail Lemeshko, and Andreas Deuchert. “Intermolecular Forces and Correlations Mediated by a Phonon Bath.” The Journal of Chemical Physics. AIP Publishing, 2020. https://doi.org/10.1063/1.5144759.","ista":"Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. 2020. Intermolecular forces and correlations mediated by a phonon bath. The Journal of Chemical Physics. 152(16), 164302."},"oa":1,"publisher":"AIP Publishing","quality_controlled":"1","acknowledgement":"We are grateful to Areg Ghazaryan for valuable discussions. M.L. acknowledges support from the Austrian Science Fund (FWF) under Project No. P29902-N27 and from the European Research Council (ERC) Starting Grant No. 801770 (ANGULON). G.B. acknowledges support from the Austrian Science Fund (FWF) under Project No. M2461-N27. A.D. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the European Research Council (ERC) Grant Agreement No. 694227 and under the Marie Sklodowska-Curie Grant Agreement No. 836146. R.S. was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2111 – 390814868.","date_created":"2020-09-30T10:33:17Z","date_published":"2020-04-27T00:00:00Z","doi":"10.1063/1.5144759","publication":"The Journal of Chemical Physics","day":"27","year":"2020","isi":1},{"_id":"9781","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"status":"public","tmp":{"short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png"},"type":"journal_article","article_type":"original","ddc":["510"],"date_updated":"2023-09-07T13:30:11Z","department":[{"_id":"RoSe"}],"oa_version":"Preprint","abstract":[{"text":"We consider the Pekar functional on a ball in ℝ3. We prove uniqueness of minimizers, and a quadratic lower bound in terms of the distance to the minimizer. The latter follows from nondegeneracy of the Hessian at the minimum.","lang":"eng"}],"intvolume":" 52","month":"02","main_file_link":[{"url":"https://arxiv.org/abs/1904.08647","open_access":"1"}],"scopus_import":"1","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0036-1410"],"eissn":["1095-7154"]},"license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","ec_funded":1,"related_material":{"record":[{"relation":"dissertation_contains","id":"9733","status":"public"}]},"issue":"1","volume":52,"project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"short":"D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020) 605–622.","ieee":"D. Feliciangeli and R. Seiringer, “Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball,” SIAM Journal on Mathematical Analysis, vol. 52, no. 1. Society for Industrial & Applied Mathematics , pp. 605–622, 2020.","ama":"Feliciangeli D, Seiringer R. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 2020;52(1):605-622. doi:10.1137/19m126284x","apa":"Feliciangeli, D., & Seiringer, R. (2020). Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. Society for Industrial & Applied Mathematics . https://doi.org/10.1137/19m126284x","mla":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical Analysis, vol. 52, no. 1, Society for Industrial & Applied Mathematics , 2020, pp. 605–22, doi:10.1137/19m126284x.","ista":"Feliciangeli D, Seiringer R. 2020. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 52(1), 605–622.","chicago":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical Analysis. Society for Industrial & Applied Mathematics , 2020. https://doi.org/10.1137/19m126284x."},"title":"Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball","article_processing_charge":"No","external_id":{"isi":["000546967700022"],"arxiv":["1904.08647 "]},"author":[{"last_name":"Feliciangeli","full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"acknowledgement":"We are grateful for the hospitality at the Mittag-Leffler Institute, where part of this work has been done. The work of the authors was supported by the European Research Council (ERC)under the European Union's Horizon 2020 research and innovation programme grant 694227.","oa":1,"publisher":"Society for Industrial & Applied Mathematics ","quality_controlled":"1","publication":"SIAM Journal on Mathematical Analysis","day":"12","year":"2020","isi":1,"has_accepted_license":"1","date_created":"2021-08-06T07:34:16Z","doi":"10.1137/19m126284x","date_published":"2020-02-12T00:00:00Z","page":"605-622"},{"acknowledgement":"Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant agreement No. 665386 (K.M.) is gratefully acknowledged. Funding Open access funding provided by Institute of Science and Technology (IST Austria)","oa":1,"quality_controlled":"1","publisher":"Springer Nature","year":"2020","has_accepted_license":"1","isi":1,"publication":"Annales Henri Poincare","day":"01","page":"4003-4025","date_created":"2020-10-25T23:01:19Z","doi":"10.1007/s00023-020-00969-3","date_published":"2020-12-01T00:00:00Z","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"665385","name":"International IST Doctoral Program"}],"citation":{"ista":"Mysliwy K, Seiringer R. 2020. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 21(12), 4003–4025.","chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare. Springer Nature, 2020. https://doi.org/10.1007/s00023-020-00969-3.","short":"K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.","ieee":"K. Mysliwy and R. Seiringer, “Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit,” Annales Henri Poincare, vol. 21, no. 12. Springer Nature, pp. 4003–4025, 2020.","apa":"Mysliwy, K., & Seiringer, R. (2020). Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-020-00969-3","ama":"Mysliwy K, Seiringer R. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 2020;21(12):4003-4025. doi:10.1007/s00023-020-00969-3","mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare, vol. 21, no. 12, Springer Nature, 2020, pp. 4003–25, doi:10.1007/s00023-020-00969-3."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","external_id":{"arxiv":["2003.12371"],"isi":["000578111800002"]},"article_processing_charge":"Yes (via OA deal)","author":[{"full_name":"Mysliwy, Krzysztof","last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"title":"Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit","abstract":[{"lang":"eng","text":"We consider the quantum mechanical many-body problem of a single impurity particle immersed in a weakly interacting Bose gas. The impurity interacts with the bosons via a two-body potential. We study the Hamiltonian of this system in the mean-field limit and rigorously show that, at low energies, the problem is well described by the Fröhlich polaron model."}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 21","month":"12","publication_status":"published","publication_identifier":{"issn":["1424-0637"]},"language":[{"iso":"eng"}],"file":[{"file_name":"2020_Annales_Mysliwy.pdf","date_created":"2020-10-27T12:49:04Z","creator":"cziletti","file_size":469831,"date_updated":"2020-10-27T12:49:04Z","success":1,"file_id":"8711","checksum":"c12c9c1e6f08def245e42f3cb1d83827","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"ec_funded":1,"volume":21,"issue":"12","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"11473"}]},"_id":"8705","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","status":"public","date_updated":"2023-09-07T13:43:51Z","ddc":["530"],"file_date_updated":"2020-10-27T12:49:04Z","department":[{"_id":"RoSe"}]},{"abstract":[{"lang":"eng","text":"We give the first mathematically rigorous justification of the local density approximation in density functional theory. We provide a quantitative estimate on the difference between the grand-canonical Levy–Lieb energy of a given density (the lowest possible energy of all quantum states having this density) and the integral over the uniform electron gas energy of this density. The error involves gradient terms and justifies the use of the local density approximation in the situation where the density is very flat on sufficiently large regions in space."}],"oa_version":"Preprint","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1903.04046"}],"month":"01","intvolume":" 2","publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"publication_status":"published","language":[{"iso":"eng"}],"volume":2,"issue":"1","_id":"14891","article_type":"original","type":"journal_article","status":"public","date_updated":"2024-01-29T09:01:12Z","department":[{"_id":"RoSe"}],"quality_controlled":"1","publisher":"Mathematical Sciences Publishers","oa":1,"year":"2020","day":"01","publication":"Pure and Applied Analysis","page":"35-73","doi":"10.2140/paa.2020.2.35","date_published":"2020-01-01T00:00:00Z","date_created":"2024-01-28T23:01:44Z","citation":{"ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “ The local density approximation in density functional theory,” Pure and Applied Analysis, vol. 2, no. 1. Mathematical Sciences Publishers, pp. 35–73, 2020.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 35–73.","apa":"Lewin, M., Lieb, E. H., & Seiringer, R. (2020). The local density approximation in density functional theory. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2020.2.35","ama":"Lewin M, Lieb EH, Seiringer R. The local density approximation in density functional theory. Pure and Applied Analysis. 2020;2(1):35-73. doi:10.2140/paa.2020.2.35","mla":"Lewin, Mathieu, et al. “ The Local Density Approximation in Density Functional Theory.” Pure and Applied Analysis, vol. 2, no. 1, Mathematical Sciences Publishers, 2020, pp. 35–73, doi:10.2140/paa.2020.2.35.","ista":"Lewin M, Lieb EH, Seiringer R. 2020. The local density approximation in density functional theory. Pure and Applied Analysis. 2(1), 35–73.","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “ The Local Density Approximation in Density Functional Theory.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2020. https://doi.org/10.2140/paa.2020.2.35."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Lewin","full_name":"Lewin, Mathieu","first_name":"Mathieu"},{"last_name":"Lieb","full_name":"Lieb, Elliott H.","first_name":"Elliott H."},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"external_id":{"arxiv":["1903.04046"]},"article_processing_charge":"No","title":" The local density approximation in density functional theory"},{"department":[{"_id":"RoSe"}],"date_updated":"2024-02-22T13:33:02Z","article_type":"original","type":"journal_article","status":"public","_id":"6906","ec_funded":1,"volume":376,"publication_status":"published","publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1812.03086","open_access":"1"}],"scopus_import":"1","intvolume":" 376","month":"06","abstract":[{"lang":"eng","text":"We consider systems of bosons trapped in a box, in the Gross–Pitaevskii regime. We show that low-energy states exhibit complete Bose–Einstein condensation with an optimal bound on the number of orthogonal excitations. This extends recent results obtained in Boccato et al. (Commun Math Phys 359(3):975–1026, 2018), removing the assumption of small interaction potential."}],"oa_version":"Preprint","article_processing_charge":"No","external_id":{"arxiv":["1812.03086"],"isi":["000536053300012"]},"author":[{"id":"342E7E22-F248-11E8-B48F-1D18A9856A87","first_name":"Chiara","full_name":"Boccato, Chiara","last_name":"Boccato"},{"first_name":"Christian","last_name":"Brennecke","full_name":"Brennecke, Christian"},{"first_name":"Serena","full_name":"Cenatiempo, Serena","last_name":"Cenatiempo"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"}],"title":"Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime","citation":{"ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. 2020;376:1311-1395. doi:10.1007/s00220-019-03555-9","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2020). Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-019-03555-9","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime,” Communications in Mathematical Physics, vol. 376. Springer, pp. 1311–1395, 2020.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Communications in Mathematical Physics 376 (2020) 1311–1395.","mla":"Boccato, Chiara, et al. “Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.” Communications in Mathematical Physics, vol. 376, Springer, 2020, pp. 1311–95, doi:10.1007/s00220-019-03555-9.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics. 376, 1311–1395.","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.” Communications in Mathematical Physics. Springer, 2020. https://doi.org/10.1007/s00220-019-03555-9."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"page":"1311-1395","date_created":"2019-09-24T17:30:59Z","date_published":"2020-06-01T00:00:00Z","doi":"10.1007/s00220-019-03555-9","year":"2020","isi":1,"publication":"Communications in Mathematical Physics","day":"01","oa":1,"publisher":"Springer","quality_controlled":"1","acknowledgement":"We would like to thank P. T. Nam and R. Seiringer for several useful discussions and\r\nfor suggesting us to use the localization techniques from [9]. C. Boccato has received funding from the\r\nEuropean Research Council (ERC) under the programme Horizon 2020 (Grant Agreement 694227). B. Schlein gratefully acknowledges support from the NCCR SwissMAP and from the Swiss National Foundation of Science (Grant No. 200020_1726230) through the SNF Grant “Dynamical and energetic properties of Bose–Einstein condensates”."},{"quality_controlled":"1","publisher":"European Mathematical Society","intvolume":" 16","month":"09","abstract":[{"lang":"eng","text":"The interaction among fundamental particles in nature leads to many interesting effects in quantum statistical mechanics; examples include superconductivity for charged systems and superfluidity in cold gases. It is a huge challenge for mathematical physics to understand the collective behavior of systems containing a large number of particles, emerging from known microscopic interactions. In this workshop we brought together researchers working on different aspects of many-body quantum mechanics to discuss recent developments, exchange ideas and propose new challenges and research directions."}],"oa_version":"None","page":"2541-2603","date_created":"2024-03-04T11:46:12Z","volume":16,"doi":"10.4171/owr/2019/41","issue":"3","date_published":"2020-09-10T00:00:00Z","publication_status":"published","year":"2020","publication_identifier":{"issn":["1660-8933"]},"language":[{"iso":"eng"}],"publication":"Oberwolfach Reports","day":"10","type":"journal_article","article_type":"original","status":"public","_id":"15072","article_processing_charge":"No","author":[{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"},{"first_name":"Simone","last_name":"Warzel","full_name":"Warzel, Simone"}],"department":[{"_id":"RoSe"}],"title":"Many-body quantum systems","citation":{"ieee":"C. Hainzl, B. Schlein, R. Seiringer, and S. Warzel, “Many-body quantum systems,” Oberwolfach Reports, vol. 16, no. 3. European Mathematical Society, pp. 2541–2603, 2020.","short":"C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 16 (2020) 2541–2603.","ama":"Hainzl C, Schlein B, Seiringer R, Warzel S. Many-body quantum systems. Oberwolfach Reports. 2020;16(3):2541-2603. doi:10.4171/owr/2019/41","apa":"Hainzl, C., Schlein, B., Seiringer, R., & Warzel, S. (2020). Many-body quantum systems. Oberwolfach Reports. European Mathematical Society. https://doi.org/10.4171/owr/2019/41","mla":"Hainzl, Christian, et al. “Many-Body Quantum Systems.” Oberwolfach Reports, vol. 16, no. 3, European Mathematical Society, 2020, pp. 2541–603, doi:10.4171/owr/2019/41.","ista":"Hainzl C, Schlein B, Seiringer R, Warzel S. 2020. Many-body quantum systems. Oberwolfach Reports. 16(3), 2541–2603.","chicago":"Hainzl, Christian, Benjamin Schlein, Robert Seiringer, and Simone Warzel. “Many-Body Quantum Systems.” Oberwolfach Reports. European Mathematical Society, 2020. https://doi.org/10.4171/owr/2019/41."},"date_updated":"2024-03-12T12:02:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"issue":"2","volume":368,"ec_funded":1,"file":[{"creator":"dernst","date_updated":"2020-07-14T12:48:07Z","file_size":893902,"date_created":"2018-12-17T10:34:06Z","file_name":"2018_CommunMathPhys_Deuchert.pdf","access_level":"open_access","relation":"main_file","content_type":"application/pdf","checksum":"c7e9880b43ac726712c1365e9f2f73a6","file_id":"5688"}],"language":[{"iso":"eng"}],"publication_status":"published","month":"06","intvolume":" 368","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross–Pitaevskii (GP) limit where the trap frequency ω, the temperature T, and the particle number N are related by N∼ (T/ ω) 3→ ∞ while the scattering length is so small that the interaction energy per particle around the center of the trap is of the same order of magnitude as the spectral gap in the trap. We prove that the difference between the canonical free energy of the interacting gas and the one of the noninteracting system can be obtained by minimizing the GP energy functional. We also prove Bose–Einstein condensation in the following sense: The one-particle density matrix of any approximate minimizer of the canonical free energy functional is to leading order given by that of the noninteracting gas but with the free condensate wavefunction replaced by the GP minimizer."}],"file_date_updated":"2020-07-14T12:48:07Z","department":[{"_id":"RoSe"}],"ddc":["530"],"date_updated":"2023-08-24T14:27:51Z","status":"public","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"80","date_published":"2019-06-01T00:00:00Z","doi":"10.1007/s00220-018-3239-0","date_created":"2018-12-11T11:44:31Z","page":"723-776","day":"01","publication":"Communications in Mathematical Physics","has_accepted_license":"1","isi":1,"year":"2019","quality_controlled":"1","publisher":"Springer","oa":1,"title":"Bose–Einstein condensation in a dilute, trapped gas at positive temperature","author":[{"first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","last_name":"Deuchert"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jakob","last_name":"Yngvason","full_name":"Yngvason, Jakob"}],"publist_id":"7974","external_id":{"isi":["000467796800007"]},"article_processing_charge":"Yes (via OA deal)","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics. Springer, 2019. https://doi.org/10.1007/s00220-018-3239-0.","ista":"Deuchert A, Seiringer R, Yngvason J. 2019. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 368(2), 723–776.","mla":"Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics, vol. 368, no. 2, Springer, 2019, pp. 723–76, doi:10.1007/s00220-018-3239-0.","ieee":"A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in a dilute, trapped gas at positive temperature,” Communications in Mathematical Physics, vol. 368, no. 2. Springer, pp. 723–776, 2019.","short":"A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.","ama":"Deuchert A, Seiringer R, Yngvason J. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 2019;368(2):723-776. doi:10.1007/s00220-018-3239-0","apa":"Deuchert, A., Seiringer, R., & Yngvason, J. (2019). Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-018-3239-0"},"project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}]},{"author":[{"first_name":"Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","last_name":"Leopold"},{"first_name":"Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","last_name":"Petrat","full_name":"Petrat, Sören P","orcid":"0000-0002-9166-5889"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["1807.06781"],"isi":["000487036900008"]},"title":"Mean-field dynamics for the Nelson model with fermions","citation":{"mla":"Leopold, Nikolai K., and Sören P. Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” Annales Henri Poincare, vol. 20, no. 10, Springer Nature, 2019, pp. 3471–3508, doi:10.1007/s00023-019-00828-w.","short":"N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.","ieee":"N. K. Leopold and S. P. Petrat, “Mean-field dynamics for the Nelson model with fermions,” Annales Henri Poincare, vol. 20, no. 10. Springer Nature, pp. 3471–3508, 2019.","apa":"Leopold, N. K., & Petrat, S. P. (2019). Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-019-00828-w","ama":"Leopold NK, Petrat SP. Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. 2019;20(10):3471–3508. doi:10.1007/s00023-019-00828-w","chicago":"Leopold, Nikolai K, and Sören P Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” Annales Henri Poincare. Springer Nature, 2019. https://doi.org/10.1007/s00023-019-00828-w.","ista":"Leopold NK, Petrat SP. 2019. Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. 20(10), 3471–3508."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"page":"3471–3508","doi":"10.1007/s00023-019-00828-w","date_published":"2019-10-01T00:00:00Z","date_created":"2019-08-11T21:59:21Z","has_accepted_license":"1","isi":1,"year":"2019","day":"01","publication":"Annales Henri Poincare","quality_controlled":"1","publisher":"Springer Nature","oa":1,"file_date_updated":"2020-07-14T12:47:40Z","department":[{"_id":"RoSe"}],"date_updated":"2023-08-29T07:09:06Z","ddc":["510"],"type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","_id":"6788","volume":20,"issue":"10","ec_funded":1,"publication_identifier":{"eissn":["1424-0661"],"issn":["1424-0637"]},"publication_status":"published","file":[{"checksum":"b6dbf0d837d809293d449adf77138904","file_id":"6801","access_level":"open_access","relation":"main_file","content_type":"application/pdf","date_created":"2019-08-12T12:05:58Z","file_name":"2019_AnnalesHenriPoincare_Leopold.pdf","creator":"dernst","date_updated":"2020-07-14T12:47:40Z","file_size":681139}],"language":[{"iso":"eng"}],"scopus_import":"1","month":"10","intvolume":" 20","abstract":[{"lang":"eng","text":"We consider the Nelson model with ultraviolet cutoff, which describes the interaction between non-relativistic particles and a positive or zero mass quantized scalar field. We take the non-relativistic particles to obey Fermi statistics and discuss the time evolution in a mean-field limit of many fermions. In this case, the limit is known to be also a semiclassical limit. We prove convergence in terms of reduced density matrices of the many-body state to a tensor product of a Slater determinant with semiclassical structure and a coherent state, which evolve according to a fermionic version of the Schrödinger–Klein–Gordon equations."}],"oa_version":"Published Version"},{"_id":"6840","status":"public","type":"journal_article","date_updated":"2023-08-29T07:19:13Z","department":[{"_id":"RoSe"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We discuss thermodynamic properties of harmonically trapped\r\nimperfect quantum gases. The spatial inhomogeneity of these systems imposes\r\na redefinition of the mean-field interparticle potential energy as compared\r\nto the homogeneous case. In our approach, it takes the form a\r\n2N2 ωd, where\r\nN is the number of particles, ω—the harmonic trap frequency, d—system’s\r\ndimensionality, and a is a parameter characterizing the interparticle interaction.\r\nWe provide arguments that this model corresponds to the limiting case of\r\na long-ranged interparticle potential of vanishingly small amplitude. This\r\nconclusion is drawn from a computation similar to the well-known Kac scaling\r\nprocedure, which is presented here in a form adapted to the case of an isotropic\r\nharmonic trap. We show that within the model, the imperfect gas of trapped\r\nrepulsive bosons undergoes the Bose–Einstein condensation provided d > 1.\r\nThe main result of our analysis is that in d = 1 the gas of attractive imperfect\r\nfermions with a = −aF < 0 is thermodynamically equivalent to the gas of\r\nrepulsive bosons with a = aB > 0 provided the parameters aF and aB fulfill\r\nthe relation aB + aF = \u001f. This result supplements similar recent conclusion\r\nabout thermodynamic equivalence of two-dimensional (2D) uniform imperfect\r\nrepulsive Bose and attractive Fermi gases."}],"intvolume":" 2019","month":"06","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1810.02209"}],"scopus_import":"1","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"eissn":["1742-5468"]},"ec_funded":1,"issue":"6","volume":2019,"article_number":"063101","project":[{"name":"International IST Doctoral Program","grant_number":"665385","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ista":"Mysliwy K, Napiórkowski M. 2019. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. 2019(6), 063101.","chicago":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing, 2019. https://doi.org/10.1088/1742-5468/ab190d.","apa":"Mysliwy, K., & Napiórkowski, M. (2019). Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing. https://doi.org/10.1088/1742-5468/ab190d","ama":"Mysliwy K, Napiórkowski M. Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps. Journal of Statistical Mechanics: Theory and Experiment. 2019;2019(6). doi:10.1088/1742-5468/ab190d","short":"K. Mysliwy, M. Napiórkowski, Journal of Statistical Mechanics: Theory and Experiment 2019 (2019).","ieee":"K. Mysliwy and M. Napiórkowski, “Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps,” Journal of Statistical Mechanics: Theory and Experiment, vol. 2019, no. 6. IOP Publishing, 2019.","mla":"Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” Journal of Statistical Mechanics: Theory and Experiment, vol. 2019, no. 6, 063101, IOP Publishing, 2019, doi:10.1088/1742-5468/ab190d."},"title":"Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps","article_processing_charge":"No","external_id":{"isi":["000471650100001"],"arxiv":["1810.02209"]},"author":[{"id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof","last_name":"Mysliwy","full_name":"Mysliwy, Krzysztof"},{"first_name":"Marek","full_name":"Napiórkowski, Marek","last_name":"Napiórkowski"}],"oa":1,"publisher":"IOP Publishing","quality_controlled":"1","publication":"Journal of Statistical Mechanics: Theory and Experiment","day":"13","year":"2019","isi":1,"date_created":"2019-09-01T22:00:59Z","date_published":"2019-06-13T00:00:00Z","doi":"10.1088/1742-5468/ab190d"},{"status":"public","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"7100","file_date_updated":"2020-07-14T12:47:49Z","department":[{"_id":"RoSe"}],"ddc":["510"],"date_updated":"2023-09-06T10:47:43Z","month":"11","intvolume":" 372","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We present microscopic derivations of the defocusing two-dimensional cubic nonlinear Schrödinger equation and the Gross–Pitaevskii equation starting froman interacting N-particle system of bosons. We consider the interaction potential to be given either by Wβ(x)=N−1+2βW(Nβx), for any β>0, or to be given by VN(x)=e2NV(eNx), for some spherical symmetric, nonnegative and compactly supported W,V∈L∞(R2,R). In both cases we prove the convergence of the reduced density corresponding to the exact time evolution to the projector onto the solution of the corresponding nonlinear Schrödinger equation in trace norm. For the latter potential VN we show that it is crucial to take the microscopic structure of the condensate into account in order to obtain the correct dynamics."}],"volume":372,"issue":"1","ec_funded":1,"file":[{"relation":"main_file","access_level":"open_access","content_type":"application/pdf","checksum":"cd283b475dd739e04655315abd46f528","file_id":"7101","creator":"dernst","file_size":884469,"date_updated":"2020-07-14T12:47:49Z","file_name":"2019_CommMathPhys_Jeblick.pdf","date_created":"2019-11-25T08:11:11Z"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"publication_status":"published","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"title":"Derivation of the time dependent Gross–Pitaevskii equation in two dimensions","author":[{"first_name":"Maximilian","last_name":"Jeblick","full_name":"Jeblick, Maximilian"},{"first_name":"Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","last_name":"Leopold"},{"first_name":"Peter","full_name":"Pickl, Peter","last_name":"Pickl"}],"article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000495193700002"]},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Jeblick M, Leopold NK, Pickl P. 2019. Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics. 372(1), 1–69.","chicago":"Jeblick, Maximilian, Nikolai K Leopold, and Peter Pickl. “Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions.” Communications in Mathematical Physics. Springer Nature, 2019. https://doi.org/10.1007/s00220-019-03599-x.","ieee":"M. Jeblick, N. K. Leopold, and P. Pickl, “Derivation of the time dependent Gross–Pitaevskii equation in two dimensions,” Communications in Mathematical Physics, vol. 372, no. 1. Springer Nature, pp. 1–69, 2019.","short":"M. Jeblick, N.K. Leopold, P. Pickl, Communications in Mathematical Physics 372 (2019) 1–69.","ama":"Jeblick M, Leopold NK, Pickl P. Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics. 2019;372(1):1-69. doi:10.1007/s00220-019-03599-x","apa":"Jeblick, M., Leopold, N. K., & Pickl, P. (2019). Derivation of the time dependent Gross–Pitaevskii equation in two dimensions. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03599-x","mla":"Jeblick, Maximilian, et al. “Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions.” Communications in Mathematical Physics, vol. 372, no. 1, Springer Nature, 2019, pp. 1–69, doi:10.1007/s00220-019-03599-x."},"publisher":"Springer Nature","quality_controlled":"1","oa":1,"acknowledgement":"OA fund by IST Austria","date_published":"2019-11-08T00:00:00Z","doi":"10.1007/s00220-019-03599-x","date_created":"2019-11-25T08:08:02Z","page":"1-69","day":"08","publication":"Communications in Mathematical Physics","has_accepted_license":"1","isi":1,"year":"2019"},{"author":[{"first_name":"Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","last_name":"Boccato","full_name":"Boccato, Chiara"},{"full_name":"Brennecke, Christian","last_name":"Brennecke","first_name":"Christian"},{"first_name":"Serena","last_name":"Cenatiempo","full_name":"Cenatiempo, Serena"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"}],"article_processing_charge":"No","external_id":{"arxiv":["1801.01389"],"isi":["000495865300001"]},"title":"Bogoliubov theory in the Gross–Pitaevskii limit","citation":{"mla":"Boccato, Chiara, et al. “Bogoliubov Theory in the Gross–Pitaevskii Limit.” Acta Mathematica, vol. 222, no. 2, International Press of Boston, 2019, pp. 219–335, doi:10.4310/acta.2019.v222.n2.a1.","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Bogoliubov theory in the Gross–Pitaevskii limit,” Acta Mathematica, vol. 222, no. 2. International Press of Boston, pp. 219–335, 2019.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Acta Mathematica 222 (2019) 219–335.","apa":"Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2019). Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. International Press of Boston. https://doi.org/10.4310/acta.2019.v222.n2.a1","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. 2019;222(2):219-335. doi:10.4310/acta.2019.v222.n2.a1","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “Bogoliubov Theory in the Gross–Pitaevskii Limit.” Acta Mathematica. International Press of Boston, 2019. https://doi.org/10.4310/acta.2019.v222.n2.a1.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2019. Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. 222(2), 219–335."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publisher":"International Press of Boston","quality_controlled":"1","oa":1,"page":"219-335","date_published":"2019-06-07T00:00:00Z","doi":"10.4310/acta.2019.v222.n2.a1","date_created":"2020-01-30T09:30:41Z","isi":1,"year":"2019","day":"07","publication":"Acta Mathematica","article_type":"original","type":"journal_article","status":"public","_id":"7413","department":[{"_id":"RoSe"}],"date_updated":"2023-09-06T15:24:31Z","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1801.01389"}],"month":"06","intvolume":" 222","abstract":[{"lang":"eng","text":"We consider Bose gases consisting of N particles trapped in a box with volume one and interacting through a repulsive potential with scattering length of order N−1 (Gross–Pitaevskii regime). We determine the ground state energy and the low-energy excitation spectrum, up to errors vanishing as N→∞. Our results confirm Bogoliubov’s predictions."}],"oa_version":"Preprint","volume":222,"issue":"2","publication_identifier":{"eissn":["1871-2509"],"issn":["0001-5962"]},"publication_status":"published","language":[{"iso":"eng"}]},{"publication_status":"published","publication_identifier":{"issn":["14240637"]},"language":[{"iso":"eng"}],"file":[{"checksum":"255e42f957a8e2b10aad2499c750a8d6","file_id":"5894","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_name":"2019_Annales_Moser.pdf","date_created":"2019-01-28T15:27:17Z","file_size":859846,"date_updated":"2020-07-14T12:47:12Z","creator":"dernst"}],"ec_funded":1,"issue":"4","volume":20,"related_material":{"record":[{"id":"52","status":"public","relation":"dissertation_contains"}]},"abstract":[{"lang":"eng","text":"We give a bound on the ground-state energy of a system of N non-interacting fermions in a three-dimensional cubic box interacting with an impurity particle via point interactions. We show that the change in energy compared to the system in the absence of the impurity is bounded in terms of the gas density and the scattering length of the interaction, independently of N. Our bound holds as long as the ratio of the mass of the impurity to the one of the gas particles is larger than a critical value m∗ ∗≈ 0.36 , which is the same regime for which we recently showed stability of the system."}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 20","month":"04","date_updated":"2023-09-07T12:37:42Z","ddc":["530"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:47:12Z","_id":"5856","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","status":"public","year":"2019","has_accepted_license":"1","isi":1,"publication":"Annales Henri Poincare","day":"01","page":"1325–1365","date_created":"2019-01-20T22:59:17Z","date_published":"2019-04-01T00:00:00Z","doi":"10.1007/s00023-018-00757-0","oa":1,"publisher":"Springer","quality_controlled":"1","citation":{"mla":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare, vol. 20, no. 4, Springer, 2019, pp. 1325–1365, doi:10.1007/s00023-018-00757-0.","ama":"Moser T, Seiringer R. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 2019;20(4):1325–1365. doi:10.1007/s00023-018-00757-0","apa":"Moser, T., & Seiringer, R. (2019). Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. Springer. https://doi.org/10.1007/s00023-018-00757-0","short":"T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.","ieee":"T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity in a Fermi gas,” Annales Henri Poincare, vol. 20, no. 4. Springer, pp. 1325–1365, 2019.","chicago":"Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare. Springer, 2019. https://doi.org/10.1007/s00023-018-00757-0.","ista":"Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 20(4), 1325–1365."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","external_id":{"arxiv":["1807.00739"],"isi":["000462444300008"]},"article_processing_charge":"Yes (via OA deal)","author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","last_name":"Moser","full_name":"Moser, Thomas"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"title":"Energy contribution of a point-interacting impurity in a Fermi gas","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}]},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372. ArXiv, n.d.","ista":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:1910.03372, .","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372, ArXiv.","apa":"Deuchert, A., Mayer, S., & Seiringer, R. (n.d.). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:1910.03372. ArXiv.","ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:191003372.","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” arXiv:1910.03372. ArXiv.","short":"A. Deuchert, S. Mayer, R. Seiringer, ArXiv:1910.03372 (n.d.)."},"date_updated":"2023-09-07T13:12:41Z","title":"The free energy of the two-dimensional dilute Bose gas. I. Lower bound","department":[{"_id":"RoSe"}],"author":[{"orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas","last_name":"Deuchert","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"},{"id":"30C4630A-F248-11E8-B48F-1D18A9856A87","first_name":"Simon","last_name":"Mayer","full_name":"Mayer, Simon"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","_id":"7524","status":"public","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"type":"preprint","day":"08","publication":"arXiv:1910.03372","language":[{"iso":"eng"}],"year":"2019","publication_status":"draft","date_published":"2019-10-08T00:00:00Z","related_material":{"record":[{"relation":"later_version","status":"public","id":"7790"},{"relation":"dissertation_contains","status":"public","id":"7514"}]},"ec_funded":1,"date_created":"2020-02-26T08:46:40Z","page":"61","oa_version":"Preprint","abstract":[{"lang":"eng","text":"We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density $\\rho$ and inverse temperature $\\beta$ differs from the one of the non-interacting system by the correction term $4 \\pi \\rho^2 |\\ln a^2 \\rho|^{-1} (2 - [1 - \\beta_{\\mathrm{c}}/\\beta]_+^2)$. Here $a$ is the scattering length of the interaction potential, $[\\cdot]_+ = \\max\\{ 0, \\cdot \\}$ and $\\beta_{\\mathrm{c}}$ is the inverse Berezinskii--Kosterlitz--Thouless critical temperature for superfluidity. The result is valid in the dilute limit\r\n$a^2\\rho \\ll 1$ and if $\\beta \\rho \\gtrsim 1$."}],"month":"10","publisher":"ArXiv","scopus_import":1,"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.03372"}]},{"article_number":"123504","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Jaksic V, Seiringer R. 2019. Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. 60(12), 123504.","chicago":"Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics. AIP Publishing, 2019. https://doi.org/10.1063/1.5138135.","ieee":"V. Jaksic and R. Seiringer, “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018,” Journal of Mathematical Physics, vol. 60, no. 12. AIP Publishing, 2019.","short":"V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).","ama":"Jaksic V, Seiringer R. Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. 2019;60(12). doi:10.1063/1.5138135","apa":"Jaksic, V., & Seiringer, R. (2019). Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/1.5138135","mla":"Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics, vol. 60, no. 12, 123504, AIP Publishing, 2019, doi:10.1063/1.5138135."},"title":"Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018","external_id":{"isi":["000505529800002"]},"article_processing_charge":"No","author":[{"last_name":"Jaksic","full_name":"Jaksic, Vojkan","first_name":"Vojkan"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"oa":1,"publisher":"AIP Publishing","quality_controlled":"1","publication":"Journal of Mathematical Physics","day":"01","year":"2019","has_accepted_license":"1","isi":1,"date_created":"2020-01-05T23:00:46Z","date_published":"2019-12-01T00:00:00Z","doi":"10.1063/1.5138135","_id":"7226","status":"public","type":"journal_article","article_type":"letter_note","ddc":["500"],"date_updated":"2024-02-28T13:01:45Z","file_date_updated":"2020-07-14T12:47:54Z","department":[{"_id":"RoSe"}],"oa_version":"Published Version","intvolume":" 60","month":"12","scopus_import":"1","language":[{"iso":"eng"}],"file":[{"relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_id":"7244","checksum":"bbd12ad1999a9ad7ba4d3c6f2e579c22","creator":"dernst","file_size":1025015,"date_updated":"2020-07-14T12:47:54Z","file_name":"2019_JournalMathPhysics_Jaksic.pdf","date_created":"2020-01-07T14:59:13Z"}],"publication_status":"published","publication_identifier":{"issn":["00222488"]},"volume":60,"issue":"12"},{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1905.09138"}],"scopus_import":"1","intvolume":" 100","month":"07","abstract":[{"lang":"eng","text":"We modify the \"floating crystal\" trial state for the classical homogeneous electron gas (also known as jellium), in order to suppress the boundary charge fluctuations that are known to lead to a macroscopic increase of the energy. The argument is to melt a thin layer of the crystal close to the boundary and consequently replace it by an incompressible fluid. With the aid of this trial state we show that three different definitions of the ground-state energy of jellium coincide. In the first point of view the electrons are placed in a neutralizing uniform background. In the second definition there is no background but the electrons are submitted to the constraint that their density is constant, as is appropriate in density functional theory. Finally, in the third system each electron interacts with a periodic image of itself; that is, periodic boundary conditions are imposed on the interaction potential."}],"oa_version":"Preprint","ec_funded":1,"volume":100,"issue":"3","publication_status":"published","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"language":[{"iso":"eng"}],"article_type":"original","type":"journal_article","status":"public","_id":"7015","department":[{"_id":"RoSe"}],"date_updated":"2024-02-28T13:13:23Z","oa":1,"publisher":"American Physical Society","quality_controlled":"1","date_created":"2019-11-13T08:41:48Z","doi":"10.1103/physrevb.100.035127","date_published":"2019-07-25T00:00:00Z","year":"2019","isi":1,"publication":"Physical Review B","day":"25","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"article_number":"035127","article_processing_charge":"No","external_id":{"arxiv":["1905.09138"],"isi":["000477888200001"]},"author":[{"first_name":"Mathieu","full_name":"Lewin, Mathieu","last_name":"Lewin"},{"last_name":"Lieb","full_name":"Lieb, Elliott H.","first_name":"Elliott H."},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"title":"Floating Wigner crystal with no boundary charge fluctuations","citation":{"chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B. American Physical Society, 2019. https://doi.org/10.1103/physrevb.100.035127.","ista":"Lewin M, Lieb EH, Seiringer R. 2019. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 100(3), 035127.","mla":"Lewin, Mathieu, et al. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B, vol. 100, no. 3, 035127, American Physical Society, 2019, doi:10.1103/physrevb.100.035127.","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Floating Wigner crystal with no boundary charge fluctuations,” Physical Review B, vol. 100, no. 3. American Physical Society, 2019.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).","apa":"Lewin, M., Lieb, E. H., & Seiringer, R. (2019). Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.100.035127","ama":"Lewin M, Lieb EH, Seiringer R. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 2019;100(3). doi:10.1103/physrevb.100.035127"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"external_id":{"arxiv":["1806.10843"]},"publist_id":"8045","author":[{"id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K","orcid":"0000-0002-0495-6822","full_name":"Leopold, Nikolai K","last_name":"Leopold"},{"full_name":"Pickl, Peter","last_name":"Pickl","first_name":"Peter"}],"title":"Mean-field limits of particles in interaction with quantised radiation fields","citation":{"chicago":"Leopold, Nikolai K, and Peter Pickl. “Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields,” 270:185–214. Springer, 2018. https://doi.org/10.1007/978-3-030-01602-9_9.","ista":"Leopold NK, Pickl P. 2018. Mean-field limits of particles in interaction with quantised radiation fields. MaLiQS: Macroscopic Limits of Quantum Systems vol. 270, 185–214.","mla":"Leopold, Nikolai K., and Peter Pickl. Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields. Vol. 270, Springer, 2018, pp. 185–214, doi:10.1007/978-3-030-01602-9_9.","ama":"Leopold NK, Pickl P. Mean-field limits of particles in interaction with quantised radiation fields. In: Vol 270. Springer; 2018:185-214. doi:10.1007/978-3-030-01602-9_9","apa":"Leopold, N. K., & Pickl, P. (2018). Mean-field limits of particles in interaction with quantised radiation fields (Vol. 270, pp. 185–214). Presented at the MaLiQS: Macroscopic Limits of Quantum Systems, Munich, Germany: Springer. https://doi.org/10.1007/978-3-030-01602-9_9","short":"N.K. Leopold, P. Pickl, in:, Springer, 2018, pp. 185–214.","ieee":"N. K. Leopold and P. Pickl, “Mean-field limits of particles in interaction with quantised radiation fields,” presented at the MaLiQS: Macroscopic Limits of Quantum Systems, Munich, Germany, 2018, vol. 270, pp. 185–214."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"page":"185 - 214","date_created":"2018-12-11T11:44:08Z","date_published":"2018-10-27T00:00:00Z","doi":"10.1007/978-3-030-01602-9_9","year":"2018","day":"27","oa":1,"quality_controlled":"1","publisher":"Springer","department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T06:48:16Z","conference":{"name":"MaLiQS: Macroscopic Limits of Quantum Systems","start_date":"2017-03-30","end_date":"2017-04-01","location":"Munich, Germany"},"type":"conference","status":"public","_id":"11","ec_funded":1,"volume":270,"publication_status":"published","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1806.10843","open_access":"1"}],"scopus_import":1,"intvolume":" 270","month":"10","abstract":[{"text":"We report on a novel strategy to derive mean-field limits of quantum mechanical systems in which a large number of particles weakly couple to a second-quantized radiation field. The technique combines the method of counting and the coherent state approach to study the growth of the correlations among the particles and in the radiation field. As an instructional example, we derive the Schrödinger–Klein–Gordon system of equations from the Nelson model with ultraviolet cutoff and possibly massless scalar field. In particular, we prove the convergence of the reduced density matrices (of the nonrelativistic particles and the field bosons) associated with the exact time evolution to the projectors onto the solutions of the Schrödinger–Klein–Gordon equations in trace norm. Furthermore, we derive explicit bounds on the rate of convergence of the one-particle reduced density matrix of the nonrelativistic particles in Sobolev norm.","lang":"eng"}],"oa_version":"Preprint"},{"_id":"554","type":"journal_article","status":"public","date_updated":"2021-01-12T08:02:35Z","department":[{"_id":"RoSe"}],"abstract":[{"lang":"eng","text":"We analyse the canonical Bogoliubov free energy functional in three dimensions at low temperatures in the dilute limit. We prove existence of a first-order phase transition and, in the limit (Formula presented.), we determine the critical temperature to be (Formula presented.) to leading order. Here, (Formula presented.) is the critical temperature of the free Bose gas, ρ is the density of the gas and a is the scattering length of the pair-interaction potential V. We also prove asymptotic expansions for the free energy. In particular, we recover the Lee–Huang–Yang formula in the limit (Formula presented.)."}],"oa_version":"Submitted Version","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1511.05953"}],"scopus_import":1,"intvolume":" 360","month":"05","publication_status":"published","publication_identifier":{"issn":["00103616"]},"language":[{"iso":"eng"}],"volume":360,"issue":"1","project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"citation":{"mla":"Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional II: The Dilute Limit.” Communications in Mathematical Physics, vol. 360, no. 1, Springer, 2018, pp. 347–403, doi:10.1007/s00220-017-3064-x.","apa":"Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). The Bogoliubov free energy functional II: The dilute Limit. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-017-3064-x","ama":"Napiórkowski MM, Reuvers R, Solovej J. The Bogoliubov free energy functional II: The dilute Limit. Communications in Mathematical Physics. 2018;360(1):347-403. doi:10.1007/s00220-017-3064-x","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, Communications in Mathematical Physics 360 (2018) 347–403.","ieee":"M. M. Napiórkowski, R. Reuvers, and J. Solovej, “The Bogoliubov free energy functional II: The dilute Limit,” Communications in Mathematical Physics, vol. 360, no. 1. Springer, pp. 347–403, 2018.","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “The Bogoliubov Free Energy Functional II: The Dilute Limit.” Communications in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s00220-017-3064-x.","ista":"Napiórkowski MM, Reuvers R, Solovej J. 2018. The Bogoliubov free energy functional II: The dilute Limit. Communications in Mathematical Physics. 360(1), 347–403."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["1511.05953"]},"publist_id":"7260","author":[{"full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M"},{"last_name":"Reuvers","full_name":"Reuvers, Robin","first_name":"Robin"},{"last_name":"Solovej","full_name":"Solovej, Jan","first_name":"Jan"}],"title":"The Bogoliubov free energy functional II: The dilute Limit","oa":1,"quality_controlled":"1","publisher":"Springer","year":"2018","publication":"Communications in Mathematical Physics","day":"01","page":"347-403","date_created":"2018-12-11T11:47:09Z","doi":"10.1007/s00220-017-3064-x","date_published":"2018-05-01T00:00:00Z"},{"department":[{"_id":"RoSe"}],"date_updated":"2023-09-08T13:30:51Z","type":"journal_article","article_type":"original","status":"public","_id":"399","issue":"1","volume":121,"publication_status":"published","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1706.01822"}],"scopus_import":"1","intvolume":" 121","month":"01","abstract":[{"lang":"eng","text":"Following an earlier calculation in 3D, we calculate the 2D critical temperature of a dilute, translation-invariant Bose gas using a variational formulation of the Bogoliubov approximation introduced by Critchley and Solomon in 1976. This provides the first analytical calculation of the Kosterlitz-Thouless transition temperature that includes the constant in the logarithm."}],"oa_version":"Preprint","article_processing_charge":"No","external_id":{"isi":["000460003000003"],"arxiv":["1706.01822"]},"author":[{"first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski"},{"full_name":"Reuvers, Robin","last_name":"Reuvers","first_name":"Robin"},{"last_name":"Solovej","full_name":"Solovej, Jan","first_name":"Jan"}],"publist_id":"7432","title":"Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation","citation":{"chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” EPL. IOP Publishing Ltd., 2018. https://doi.org/10.1209/0295-5075/121/10007.","ista":"Napiórkowski MM, Reuvers R, Solovej J. 2018. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 121(1), 10007.","mla":"Napiórkowski, Marcin M., et al. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” EPL, vol. 121, no. 1, 10007, IOP Publishing Ltd., 2018, doi:10.1209/0295-5075/121/10007.","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, EPL 121 (2018).","ieee":"M. M. Napiórkowski, R. Reuvers, and J. Solovej, “Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation,” EPL, vol. 121, no. 1. IOP Publishing Ltd., 2018.","ama":"Napiórkowski MM, Reuvers R, Solovej J. Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 2018;121(1). doi:10.1209/0295-5075/121/10007","apa":"Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. 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We gratefully acknowledge the financial support by the European Unions Seventh Framework Programme under the ERC Grant Agreement Nos. 321029 (JPS and RR) and 337603 (RR) as well as support by the VIL-LUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059) (JPS and RR), by the National Science Center (NCN) under grant No. 2016/21/D/ST1/02430 and the Austrian Science Fund (FWF) through project No. P 27533-N27 (MN)."},{"ec_funded":1,"issue":"11","volume":108,"language":[{"iso":"eng"}],"file":[{"content_type":"application/pdf","relation":"main_file","access_level":"open_access","checksum":"8beb9632fa41bbd19452f55f31286a31","file_id":"5698","file_size":551996,"date_updated":"2020-07-14T12:45:55Z","creator":"dernst","file_name":"2018_LettMathPhys_Lundholm.pdf","date_created":"2018-12-17T12:14:17Z"}],"publication_status":"published","intvolume":" 108","month":"05","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter (Formula presented.). The lower bounds extend to Lieb–Thirring inequalities for all anyons except bosons."}],"file_date_updated":"2020-07-14T12:45:55Z","department":[{"_id":"RoSe"}],"ddc":["510"],"date_updated":"2023-09-11T14:01:57Z","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","_id":"295","date_created":"2018-12-11T11:45:40Z","date_published":"2018-05-11T00:00:00Z","doi":"10.1007/s11005-018-1091-y","page":"2523-2541","publication":"Letters in Mathematical Physics","day":"11","year":"2018","isi":1,"has_accepted_license":"1","oa":1,"quality_controlled":"1","publisher":"Springer","acknowledgement":"Financial support from the Swedish Research Council, grant no. 2013-4734 (D. L.), the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 694227, R. S.), and by the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R. S.), is gratefully acknowledged.","title":"Fermionic behavior of ideal anyons","article_processing_charge":"No","external_id":{"isi":["000446491500008"],"arxiv":["1712.06218"]},"author":[{"last_name":"Lundholm","full_name":"Lundholm, Douglas","first_name":"Douglas"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"publist_id":"7586","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"chicago":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s11005-018-1091-y.","ista":"Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. 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We show that the translational symmetry is not broken in a certain temperature interval below the critical temperature. In the case of vanishing angular momentum, our results carry over to the three-dimensional case."}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 19","month":"05","citation":{"mla":"Deuchert, Andreas, et al. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” Annales Henri Poincare, vol. 19, no. 5, Springer, 2018, pp. 1507–27, doi:10.1007/s00023-018-0665-7.","ieee":"A. Deuchert, A. Geisinge, C. Hainzl, and M. Loss, “Persistence of translational symmetry in the BCS model with radial pair interaction,” Annales Henri Poincare, vol. 19, no. 5. Springer, pp. 1507–1527, 2018.","short":"A. Deuchert, A. Geisinge, C. Hainzl, M. Loss, Annales Henri Poincare 19 (2018) 1507–1527.","ama":"Deuchert A, Geisinge A, Hainzl C, Loss M. Persistence of translational symmetry in the BCS model with radial pair interaction. 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Annales Henri Poincare. 19(5), 1507–1527."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000429799900008"]},"publist_id":"7429","author":[{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","last_name":"Deuchert","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas"},{"last_name":"Geisinge","full_name":"Geisinge, Alissa","first_name":"Alissa"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"first_name":"Michael","full_name":"Loss, Michael","last_name":"Loss"}],"title":"Persistence of translational symmetry in the BCS model with radial pair interaction","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"year":"2018","has_accepted_license":"1","isi":1,"publication":"Annales Henri Poincare","day":"01","page":"1507 - 1527","date_created":"2018-12-11T11:46:15Z","doi":"10.1007/s00023-018-0665-7","date_published":"2018-05-01T00:00:00Z","oa":1,"quality_controlled":"1","publisher":"Springer"},{"acknowledgement":"Open access funding provided by Austrian Science Fund (FWF).","oa":1,"quality_controlled":"1","publisher":"Springer","publication":"Mathematical Physics Analysis and Geometry","day":"01","year":"2018","isi":1,"has_accepted_license":"1","date_created":"2018-12-11T11:44:55Z","doi":"10.1007/s11040-018-9275-3","date_published":"2018-09-01T00:00:00Z","article_number":"19","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"},{"name":"FWF Open Access Fund","call_identifier":"FWF","_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"chicago":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry. Springer, 2018. https://doi.org/10.1007/s11040-018-9275-3.","ista":"Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.","mla":"Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry, vol. 21, no. 3, 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.","apa":"Moser, T., & Seiringer, R. (2018). Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-018-9275-3","ama":"Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 2018;21(3). doi:10.1007/s11040-018-9275-3","ieee":"T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” Mathematical Physics Analysis and Geometry, vol. 21, no. 3. Springer, 2018.","short":"T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018)."},"title":"Stability of the 2+2 fermionic system with point interactions","article_processing_charge":"No","external_id":{"isi":["000439639700001"]},"author":[{"last_name":"Moser","full_name":"Moser, Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"publist_id":"7767","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We give a lower bound on the ground state energy of a system of two fermions of one species interacting with two fermions of another species via point interactions. We show that there is a critical mass ratio m2 ≈ 0.58 such that the system is stable, i.e., the energy is bounded from below, for m∈[m2,m2−1]. So far it was not known whether this 2 + 2 system exhibits a stable region at all or whether the formation of four-body bound states causes an unbounded spectrum for all mass ratios, similar to the Thomas effect. Our result gives further evidence for the stability of the more general N + M system."}],"intvolume":" 21","month":"09","scopus_import":"1","language":[{"iso":"eng"}],"file":[{"file_name":"2018_MathPhysics_Moser.pdf","date_created":"2018-12-17T16:49:02Z","creator":"dernst","file_size":496973,"date_updated":"2020-07-14T12:45:01Z","file_id":"5729","checksum":"411c4db5700d7297c9cd8ebc5dd29091","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"publication_status":"published","publication_identifier":{"issn":["13850172"],"eissn":["15729656"]},"ec_funded":1,"volume":21,"issue":"3","related_material":{"record":[{"relation":"dissertation_contains","id":"52","status":"public"}]},"_id":"154","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","ddc":["530"],"date_updated":"2023-09-19T09:31:15Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:45:01Z"},{"publication":"Annales Henri Poincare","day":"01","year":"2018","isi":1,"has_accepted_license":"1","date_created":"2018-12-11T11:46:34Z","doi":"10.1007/s00023-018-0644-z","date_published":"2018-04-01T00:00:00Z","page":"1167 - 1214","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). The authors acknowledge support by ERC Advanced Grant 321029 and by VILLUM FONDEN via the QMATH Centre of Excellence (Grant No. 10059). The authors would like to thank Sébastien Breteaux, Enno Lenzmann, Mathieu Lewin and Jochen Schmid for comments and discussions about well-posedness of the Bogoliubov–de Gennes equations.","oa":1,"quality_controlled":"1","publisher":"Birkhäuser","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Benedikter NP, Sok J, Solovej J. 2018. The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. 19(4), 1167–1214.","chicago":"Benedikter, Niels P, Jérémy Sok, and Jan Solovej. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” Annales Henri Poincare. Birkhäuser, 2018. https://doi.org/10.1007/s00023-018-0644-z.","short":"N.P. Benedikter, J. Sok, J. Solovej, Annales Henri Poincare 19 (2018) 1167–1214.","ieee":"N. P. Benedikter, J. Sok, and J. Solovej, “The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations,” Annales Henri Poincare, vol. 19, no. 4. Birkhäuser, pp. 1167–1214, 2018.","apa":"Benedikter, N. P., Sok, J., & Solovej, J. (2018). The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. Birkhäuser. https://doi.org/10.1007/s00023-018-0644-z","ama":"Benedikter NP, Sok J, Solovej J. The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations. Annales Henri Poincare. 2018;19(4):1167-1214. doi:10.1007/s00023-018-0644-z","mla":"Benedikter, Niels P., et al. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” Annales Henri Poincare, vol. 19, no. 4, Birkhäuser, 2018, pp. 1167–214, doi:10.1007/s00023-018-0644-z."},"title":"The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations","external_id":{"isi":["000427578900006"]},"article_processing_charge":"No","author":[{"last_name":"Benedikter","full_name":"Benedikter, Niels P","orcid":"0000-0002-1071-6091","first_name":"Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jérémy","full_name":"Sok, Jérémy","last_name":"Sok"},{"first_name":"Jan","full_name":"Solovej, Jan","last_name":"Solovej"}],"publist_id":"7367","language":[{"iso":"eng"}],"file":[{"relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_id":"4914","checksum":"883eeccba8384ad7fcaa28761d99a0fa","creator":"system","file_size":923252,"date_updated":"2020-07-14T12:46:31Z","file_name":"IST-2018-993-v1+1_2018_Benedikter_Dirac.pdf","date_created":"2018-12-12T10:11:57Z"}],"publication_status":"published","volume":19,"issue":"4","oa_version":"Published Version","abstract":[{"text":"The derivation of effective evolution equations is central to the study of non-stationary quantum many-body systems, and widely used in contexts such as superconductivity, nuclear physics, Bose–Einstein condensation and quantum chemistry. We reformulate the Dirac–Frenkel approximation principle in terms of reduced density matrices and apply it to fermionic and bosonic many-body systems. We obtain the Bogoliubov–de Gennes and Hartree–Fock–Bogoliubov equations, respectively. While we do not prove quantitative error estimates, our formulation does show that the approximation is optimal within the class of quasifree states. Furthermore, we prove well-posedness of the Bogoliubov–de Gennes equations in energy space and discuss conserved quantities","lang":"eng"}],"intvolume":" 19","month":"04","alternative_title":["Annales Henri Poincare"],"scopus_import":"1","ddc":["510","539"],"date_updated":"2023-09-19T10:07:41Z","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:46:31Z","_id":"455","pubrep_id":"993","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article"},{"external_id":{"isi":["000422675800004"],"arxiv":["1606.07355"]},"article_processing_charge":"No","publist_id":"7377","author":[{"first_name":"Rupert","full_name":"Frank, Rupert","last_name":"Frank"},{"first_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Phan Thanh","full_name":"Phan Thanh, Nam"},{"first_name":"Hanne","last_name":"Van Den Bosch","full_name":"Van Den Bosch, Hanne"}],"title":"The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory","citation":{"ista":"Frank R, Nam P, Van Den Bosch H. 2018. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. 71(3), 577–614.","chicago":"Frank, Rupert, Phan Nam, and Hanne Van Den Bosch. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2018. https://doi.org/10.1002/cpa.21717.","apa":"Frank, R., Nam, P., & Van Den Bosch, H. (2018). The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. Wiley-Blackwell. https://doi.org/10.1002/cpa.21717","ama":"Frank R, Nam P, Van Den Bosch H. The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory. Communications on Pure and Applied Mathematics. 2018;71(3):577-614. doi:10.1002/cpa.21717","ieee":"R. Frank, P. Nam, and H. Van Den Bosch, “The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory,” Communications on Pure and Applied Mathematics, vol. 71, no. 3. Wiley-Blackwell, pp. 577–614, 2018.","short":"R. Frank, P. Nam, H. Van Den Bosch, Communications on Pure and Applied Mathematics 71 (2018) 577–614.","mla":"Frank, Rupert, et al. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics, vol. 71, no. 3, Wiley-Blackwell, 2018, pp. 577–614, doi:10.1002/cpa.21717."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","page":"577 - 614","date_created":"2018-12-11T11:46:31Z","doi":"10.1002/cpa.21717","date_published":"2018-03-01T00:00:00Z","year":"2018","isi":1,"publication":"Communications on Pure and Applied Mathematics","day":"01","oa":1,"quality_controlled":"1","publisher":"Wiley-Blackwell","acknowledgement":"We thank the referee for helpful suggestions that improved the presentation of the paper. We also acknowledge partial support by National Science Foundation Grant DMS-1363432 (R.L.F.), Austrian Science Fund (FWF) Project Nr. P 27533-N27 (P.T.N.), CONICYT (Chile) through CONICYT–PCHA/ Doctorado Nacional/2014, and Iniciativa Científica Milenio (Chile) through Millenium Nucleus RC–120002 “Física Matemática” (H.V.D.B.).\r\n","department":[{"_id":"RoSe"}],"date_updated":"2023-09-19T10:09:40Z","type":"journal_article","article_type":"original","status":"public","_id":"446","issue":"3","volume":71,"publication_status":"published","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1606.07355","open_access":"1"}],"intvolume":" 71","month":"03","abstract":[{"text":"We prove that in Thomas–Fermi–Dirac–von Weizsäcker theory, a nucleus of charge Z > 0 can bind at most Z + C electrons, where C is a universal constant. This result is obtained through a comparison with Thomas-Fermi theory which, as a by-product, gives bounds on the screened nuclear potential and the radius of the minimizer. A key ingredient of the proof is a novel technique to control the particles in the exterior region, which also applies to the liquid drop model with a nuclear background potential.","lang":"eng"}],"oa_version":"Preprint"},{"oa_version":"Preprint","abstract":[{"text":"We study a quantum impurity possessing both translational and internal rotational degrees of freedom interacting with a bosonic bath. Such a system corresponds to a “rotating polaron,” which can be used to model, e.g., a rotating molecule immersed in an ultracold Bose gas or superfluid helium. We derive the Hamiltonian of the rotating polaron and study its spectrum in the weak- and strong-coupling regimes using a combination of variational, diagrammatic, and mean-field approaches. We reveal how the coupling between linear and angular momenta affects stable quasiparticle states, and demonstrate that internal rotation leads to an enhanced self-localization in the translational degrees of freedom.","lang":"eng"}],"month":"12","intvolume":" 98","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1809.01204","open_access":"1"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["2469-9950"],"eissn":["2469-9969"]},"publication_status":"published","issue":"22","volume":98,"ec_funded":1,"_id":"5983","status":"public","type":"journal_article","date_updated":"2023-09-19T14:29:03Z","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"quality_controlled":"1","publisher":"American Physical Society","oa":1,"day":"12","publication":"Physical Review B","isi":1,"year":"2018","date_published":"2018-12-12T00:00:00Z","doi":"10.1103/physrevb.98.224506","date_created":"2019-02-14T10:37:09Z","article_number":"224506","project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","grant_number":"291734"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"chicago":"Yakaboylu, Enderalp, Bikashkali Midya, Andreas Deuchert, Nikolai K Leopold, and Mikhail Lemeshko. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” Physical Review B. American Physical Society, 2018. https://doi.org/10.1103/physrevb.98.224506.","ista":"Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. 2018. Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. 98(22), 224506.","mla":"Yakaboylu, Enderalp, et al. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” Physical Review B, vol. 98, no. 22, 224506, American Physical Society, 2018, doi:10.1103/physrevb.98.224506.","ieee":"E. Yakaboylu, B. Midya, A. Deuchert, N. K. Leopold, and M. Lemeshko, “Theory of the rotating polaron: Spectrum and self-localization,” Physical Review B, vol. 98, no. 22. American Physical Society, 2018.","short":"E. Yakaboylu, B. Midya, A. Deuchert, N.K. Leopold, M. Lemeshko, Physical Review B 98 (2018).","apa":"Yakaboylu, E., Midya, B., Deuchert, A., Leopold, N. K., & Lemeshko, M. (2018). Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.98.224506","ama":"Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. 2018;98(22). doi:10.1103/physrevb.98.224506"},"title":"Theory of the rotating polaron: Spectrum and self-localization","author":[{"id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","first_name":"Enderalp","full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874","last_name":"Yakaboylu"},{"last_name":"Midya","full_name":"Midya, Bikashkali","first_name":"Bikashkali","id":"456187FC-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","last_name":"Deuchert","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-0495-6822","full_name":"Leopold, Nikolai K","last_name":"Leopold","first_name":"Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Lemeshko","full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail"}],"external_id":{"isi":["000452992700008"],"arxiv":["1809.01204"]},"article_processing_charge":"No"},{"project":[{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"author":[{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","last_name":"Napiórkowski","full_name":"Napiórkowski, Marcin M"},{"last_name":"Reuvers","full_name":"Reuvers, Robin","first_name":"Robin"},{"full_name":"Solovej, Jan Philip","last_name":"Solovej","first_name":"Jan Philip"}],"article_processing_charge":"No","external_id":{"isi":["000435367300003"],"arxiv":["1511.05935"]},"title":"The Bogoliubov free energy functional I: Existence of minimizers and phase diagram","citation":{"mla":"Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics and Analysis, vol. 229, no. 3, Springer Nature, 2018, pp. 1037–90, doi:10.1007/s00205-018-1232-6.","ieee":"M. M. Napiórkowski, R. Reuvers, and J. P. Solovej, “The Bogoliubov free energy functional I: Existence of minimizers and phase diagram,” Archive for Rational Mechanics and Analysis, vol. 229, no. 3. Springer Nature, pp. 1037–1090, 2018.","short":"M.M. Napiórkowski, R. Reuvers, J.P. Solovej, Archive for Rational Mechanics and Analysis 229 (2018) 1037–1090.","apa":"Napiórkowski, M. M., Reuvers, R., & Solovej, J. P. (2018). The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-018-1232-6","ama":"Napiórkowski MM, Reuvers R, Solovej JP. The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. 2018;229(3):1037-1090. doi:10.1007/s00205-018-1232-6","chicago":"Napiórkowski, Marcin M, Robin Reuvers, and Jan Philip Solovej. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics and Analysis. Springer Nature, 2018. https://doi.org/10.1007/s00205-018-1232-6.","ista":"Napiórkowski MM, Reuvers R, Solovej JP. 2018. The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. 229(3), 1037–1090."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","quality_controlled":"1","publisher":"Springer Nature","oa":1,"page":"1037-1090","date_published":"2018-09-01T00:00:00Z","doi":"10.1007/s00205-018-1232-6","date_created":"2019-02-14T13:40:53Z","isi":1,"year":"2018","day":"01","publication":"Archive for Rational Mechanics and Analysis","type":"journal_article","status":"public","_id":"6002","department":[{"_id":"RoSe"}],"date_updated":"2023-09-19T14:33:12Z","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1511.05935"}],"month":"09","intvolume":" 229","abstract":[{"text":"The Bogoliubov free energy functional is analysed. The functional serves as a model of a translation-invariant Bose gas at positive temperature. We prove the existence of minimizers in the case of repulsive interactions given by a sufficiently regular two-body potential. Furthermore, we prove the existence of a phase transition in this model and provide its phase diagram.","lang":"eng"}],"oa_version":"Preprint","issue":"3","volume":229,"publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"publication_status":"published","language":[{"iso":"eng"}]},{"oa_version":"Published Version","abstract":[{"text":"In this thesis we will discuss systems of point interacting fermions, their stability and other spectral properties. Whereas for bosons a point interacting system is always unstable this ques- tion is more subtle for a gas of two species of fermions. In particular the answer depends on the mass ratio between these two species. Most of this work will be focused on the N + M model which consists of two species of fermions with N, M particles respectively which interact via point interactions. We will introduce this model using a formal limit and discuss the N + 1 system in more detail. In particular, we will show that for mass ratios above a critical one, which does not depend on the particle number, the N + 1 system is stable. In the context of this model we will prove rigorous versions of Tan relations which relate various quantities of the point-interacting model. By restricting the N + 1 system to a box we define a finite density model with point in- teractions. In the context of this system we will discuss the energy change when introducing a point-interacting impurity into a system of non-interacting fermions. We will see that this change in energy is bounded independently of the particle number and in particular the bound only depends on the density and the scattering length. As another special case of the N + M model we will show stability of the 2 + 2 model for mass ratios in an interval around one. Further we will investigate a different model of point interactions which was discussed before in the literature and which is, contrary to the N + M model, not given by a limiting procedure but is based on a Dirichlet form. We will show that this system behaves trivially in the thermodynamic limit, i.e. the free energy per particle is the same as the one of the non-interacting system.","lang":"eng"}],"month":"09","alternative_title":["ISTA Thesis"],"language":[{"iso":"eng"}],"file":[{"date_created":"2019-04-09T07:45:38Z","file_name":"2018_Thesis_Moser.pdf","creator":"dernst","date_updated":"2020-07-14T12:46:37Z","file_size":851164,"file_id":"6256","checksum":"fbd8c747d148b468a21213b7cf175225","access_level":"open_access","relation":"main_file","content_type":"application/pdf"},{"content_type":"application/zip","relation":"source_file","access_level":"closed","file_id":"6257","checksum":"c28e16ecfc1126d3ce324ec96493c01e","file_size":1531516,"date_updated":"2020-07-14T12:46:37Z","creator":"dernst","file_name":"2018_Thesis_Moser_Source.zip","date_created":"2019-04-09T07:45:38Z"}],"publication_status":"published","degree_awarded":"PhD","publication_identifier":{"issn":["2663-337X"]},"related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"5856"},{"relation":"part_of_dissertation","status":"public","id":"154"},{"status":"public","id":"1198","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","status":"public","id":"741"}]},"_id":"52","pubrep_id":"1043","status":"public","type":"dissertation","ddc":["515","530","519"],"date_updated":"2023-09-27T12:34:14Z","supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:46:37Z","oa":1,"publisher":"Institute of Science and Technology Austria","day":"04","year":"2018","has_accepted_license":"1","date_created":"2018-12-11T11:44:22Z","doi":"10.15479/AT:ISTA:th_1043","date_published":"2018-09-04T00:00:00Z","page":"115","project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Moser T. 2018. Point interactions in systems of fermions. Institute of Science and Technology Austria.","chicago":"Moser, Thomas. “Point Interactions in Systems of Fermions.” Institute of Science and Technology Austria, 2018. https://doi.org/10.15479/AT:ISTA:th_1043.","short":"T. Moser, Point Interactions in Systems of Fermions, Institute of Science and Technology Austria, 2018.","ieee":"T. Moser, “Point interactions in systems of fermions,” Institute of Science and Technology Austria, 2018.","apa":"Moser, T. (2018). Point interactions in systems of fermions. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:th_1043","ama":"Moser T. Point interactions in systems of fermions. 2018. doi:10.15479/AT:ISTA:th_1043","mla":"Moser, Thomas. Point Interactions in Systems of Fermions. Institute of Science and Technology Austria, 2018, doi:10.15479/AT:ISTA:th_1043."},"title":"Point interactions in systems of fermions","article_processing_charge":"No","author":[{"first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","full_name":"Moser, Thomas","last_name":"Moser"}],"publist_id":"8002"},{"has_accepted_license":"1","year":"2018","day":"01","publication":"Journal de l'Ecole Polytechnique - Mathematiques","page":"79 - 116","date_published":"2018-07-01T00:00:00Z","doi":"10.5802/jep.64","date_created":"2018-12-11T11:45:03Z","acknowledgement":"This project has received funding from the European Research Council (ERC) under the European\r\nUnion’s Horizon 2020 research and innovation programme (grant agreement 694227 for R.S. and MDFT 725528 for M.L.). Financial support by the Austrian Science Fund (FWF), project No P 27533-N27 (R.S.) and by the US National Science Foundation, grant No PHY12-1265118 (E.H.L.) are gratefully acknowledged.","quality_controlled":"1","publisher":"Ecole Polytechnique","oa":1,"citation":{"apa":"Lewi, M., Lieb, É., & Seiringer, R. (2018). Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique. https://doi.org/10.5802/jep.64","ama":"Lewi M, Lieb É, Seiringer R. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 2018;5:79-116. doi:10.5802/jep.64","ieee":"M. Lewi, É. Lieb, and R. Seiringer, “Statistical mechanics of the uniform electron gas,” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5. Ecole Polytechnique, pp. 79–116, 2018.","short":"M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.","mla":"Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, Ecole Polytechnique, 2018, pp. 79–116, doi:10.5802/jep.64.","ista":"Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 79–116.","chicago":"Lewi, Mathieu, Élliott Lieb, and Robert Seiringer. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique, 2018. https://doi.org/10.5802/jep.64."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publist_id":"7741","author":[{"first_name":"Mathieu","last_name":"Lewi","full_name":"Lewi, Mathieu"},{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"arxiv":["1705.10676"]},"article_processing_charge":"No","title":"Statistical mechanics of the uniform electron gas","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"publication_identifier":{"eissn":["2270-518X"],"issn":["2429-7100"]},"publication_status":"published","file":[{"checksum":"1ba7cccdf3900f42c4f715ae75d6813c","file_id":"5726","access_level":"open_access","relation":"main_file","content_type":"application/pdf","date_created":"2018-12-17T16:38:18Z","file_name":"2018_JournaldeLecoleMath_Lewi.pdf","creator":"dernst","date_updated":"2020-07-14T12:45:16Z","file_size":843938}],"language":[{"iso":"eng"}],"volume":5,"ec_funded":1,"abstract":[{"text":"In this paper we define and study the classical Uniform Electron Gas (UEG), a system of infinitely many electrons whose density is constant everywhere in space. The UEG is defined differently from Jellium, which has a positive constant background but no constraint on the density. We prove that the UEG arises in Density Functional Theory in the limit of a slowly varying density, minimizing the indirect Coulomb energy. We also construct the quantum UEG and compare it to the classical UEG at low density.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","month":"07","intvolume":" 5","date_updated":"2023-10-17T08:05:28Z","ddc":["510"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:45:16Z","_id":"180","article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","image":"/image/cc_by_nd.png","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","short":"CC BY-ND (4.0)"},"status":"public"},{"ec_funded":1,"volume":21,"issue":"3","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["10950761"]},"intvolume":" 21","month":"01","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1509.04631"}],"scopus_import":1,"oa_version":"Submitted Version","abstract":[{"lang":"eng","text":"We consider the dynamics of a large quantum system of N identical bosons in 3D interacting via a two-body potential of the form N3β-1w(Nβ(x - y)). For fixed 0 = β < 1/3 and large N, we obtain a norm approximation to the many-body evolution in the Nparticle Hilbert space. The leading order behaviour of the dynamics is determined by Hartree theory while the second order is given by Bogoliubov theory."}],"department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T08:00:58Z","status":"public","type":"journal_article","_id":"484","date_created":"2018-12-11T11:46:43Z","date_published":"2017-01-01T00:00:00Z","doi":"10.4310/ATMP.2017.v21.n3.a4","page":"683 - 738","publication":"Advances in Theoretical and Mathematical Physics","day":"01","year":"2017","oa":1,"quality_controlled":"1","publisher":"International Press","title":"Bogoliubov correction to the mean-field dynamics of interacting bosons","publist_id":"7336","author":[{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan","last_name":"Nam","full_name":"Nam, Phan"},{"full_name":"Napiórkowski, Marcin M","last_name":"Napiórkowski","first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87"}],"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Nam, Phan, and Marcin M. Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics, vol. 21, no. 3, International Press, 2017, pp. 683–738, doi:10.4310/ATMP.2017.v21.n3.a4.","ama":"Nam P, Napiórkowski MM. Bogoliubov correction to the mean-field dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics. 2017;21(3):683-738. doi:10.4310/ATMP.2017.v21.n3.a4","apa":"Nam, P., & Napiórkowski, M. M. (2017). Bogoliubov correction to the mean-field dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics. International Press. https://doi.org/10.4310/ATMP.2017.v21.n3.a4","short":"P. Nam, M.M. Napiórkowski, Advances in Theoretical and Mathematical Physics 21 (2017) 683–738.","ieee":"P. Nam and M. M. Napiórkowski, “Bogoliubov correction to the mean-field dynamics of interacting bosons,” Advances in Theoretical and Mathematical Physics, vol. 21, no. 3. International Press, pp. 683–738, 2017.","chicago":"Nam, Phan, and Marcin M Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics. International Press, 2017. https://doi.org/10.4310/ATMP.2017.v21.n3.a4.","ista":"Nam P, Napiórkowski MM. 2017. Bogoliubov correction to the mean-field dynamics of interacting bosons. Advances in Theoretical and Mathematical Physics. 21(3), 683–738."},"project":[{"name":"International IST Postdoc Fellowship Programme","grant_number":"291734","call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}]},{"status":"public","type":"journal_article","_id":"632","department":[{"_id":"RoSe"}],"date_updated":"2021-01-12T08:07:03Z","month":"01","intvolume":" 145","scopus_import":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1509.09045"}],"oa_version":"Submitted Version","abstract":[{"lang":"eng","text":"We consider a 2D quantum system of N bosons in a trapping potential |x|s, interacting via a pair potential of the form N2β−1 w(Nβ x). We show that for all 0 < β < (s + 1)/(s + 2), the leading order behavior of ground states of the many-body system is described in the large N limit by the corresponding cubic nonlinear Schrödinger energy functional. Our result covers the focusing case (w < 0) where even the stability of the many-body system is not obvious. This answers an open question mentioned by X. Chen and J. Holmer for harmonic traps (s = 2). Together with the BBGKY hierarchy approach used by these authors, our result implies the convergence of the many-body quantum dynamics to the focusing NLS equation with harmonic trap for all 0 < β < 3/4. "}],"issue":"6","volume":145,"ec_funded":1,"language":[{"iso":"eng"}],"publication_status":"published","project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","grant_number":"291734"}],"title":"A note on 2D focusing many boson systems","author":[{"first_name":"Mathieu","last_name":"Lewin","full_name":"Lewin, Mathieu"},{"last_name":"Nam","full_name":"Nam, Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan"},{"last_name":"Rougerie","full_name":"Rougerie, Nicolas","first_name":"Nicolas"}],"publist_id":"7160","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Lewin, Mathieu, et al. “A Note on 2D Focusing Many Boson Systems.” Proceedings of the American Mathematical Society, vol. 145, no. 6, American Mathematical Society, 2017, pp. 2441–54, doi:10.1090/proc/13468.","ieee":"M. Lewin, P. Nam, and N. Rougerie, “A note on 2D focusing many boson systems,” Proceedings of the American Mathematical Society, vol. 145, no. 6. American Mathematical Society, pp. 2441–2454, 2017.","short":"M. Lewin, P. Nam, N. Rougerie, Proceedings of the American Mathematical Society 145 (2017) 2441–2454.","apa":"Lewin, M., Nam, P., & Rougerie, N. (2017). A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/proc/13468","ama":"Lewin M, Nam P, Rougerie N. A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. 2017;145(6):2441-2454. doi:10.1090/proc/13468","chicago":"Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “A Note on 2D Focusing Many Boson Systems.” Proceedings of the American Mathematical Society. American Mathematical Society, 2017. https://doi.org/10.1090/proc/13468.","ista":"Lewin M, Nam P, Rougerie N. 2017. A note on 2D focusing many boson systems. Proceedings of the American Mathematical Society. 145(6), 2441–2454."},"publisher":"American Mathematical Society","quality_controlled":"1","oa":1,"doi":"10.1090/proc/13468","date_published":"2017-01-01T00:00:00Z","date_created":"2018-12-11T11:47:36Z","page":"2441 - 2454","day":"01","publication":"Proceedings of the American Mathematical Society","year":"2017"},{"intvolume":" 107","month":"03","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We consider a model of fermions interacting via point interactions, defined via a certain weighted Dirichlet form. While for two particles the interaction corresponds to infinite scattering length, the presence of further particles effectively decreases the interaction strength. We show that the model becomes trivial in the thermodynamic limit, in the sense that the free energy density at any given particle density and temperature agrees with the corresponding expression for non-interacting particles."}],"related_material":{"record":[{"relation":"dissertation_contains","id":"52","status":"public"}]},"issue":"3","volume":107,"language":[{"iso":"eng"}],"file":[{"creator":"system","file_size":587207,"date_updated":"2020-07-14T12:44:38Z","file_name":"IST-2016-723-v1+1_s11005-016-0915-x.pdf","date_created":"2018-12-12T10:17:40Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","checksum":"c0c835def162c1bc52f978fad26e3c2f","file_id":"5296"}],"publication_status":"published","publication_identifier":{"issn":["03779017"]},"pubrep_id":"723","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","_id":"1198","department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:44:38Z","ddc":["510","539"],"date_updated":"2023-09-20T11:18:13Z","oa":1,"quality_controlled":"1","publisher":"Springer","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","date_created":"2018-12-11T11:50:40Z","doi":"10.1007/s11005-016-0915-x","date_published":"2017-03-01T00:00:00Z","page":" 533 - 552","publication":"Letters in Mathematical Physics","day":"01","year":"2017","has_accepted_license":"1","isi":1,"project":[{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"title":"Triviality of a model of particles with point interactions in the thermodynamic limit","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000394280200007"]},"publist_id":"6152","author":[{"last_name":"Moser","full_name":"Moser, Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Moser T, Seiringer R. 2017. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 107(3), 533–552.","chicago":"Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s11005-016-0915-x.","apa":"Moser, T., & Seiringer, R. (2017). Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0915-x","ama":"Moser T, Seiringer R. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 2017;107(3):533-552. doi:10.1007/s11005-016-0915-x","ieee":"T. Moser and R. Seiringer, “Triviality of a model of particles with point interactions in the thermodynamic limit,” Letters in Mathematical Physics, vol. 107, no. 3. Springer, pp. 533–552, 2017.","short":"T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.","mla":"Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:10.1007/s11005-016-0915-x."}},{"scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1610.04908"}],"month":"03","intvolume":" 95","abstract":[{"text":"The existence of a self-localization transition in the polaron problem has been under an active debate ever since Landau suggested it 83 years ago. Here we reveal the self-localization transition for the rotational analogue of the polaron -- the angulon quasiparticle. We show that, unlike for the polarons, self-localization of angulons occurs at finite impurity-bath coupling already at the mean-field level. The transition is accompanied by the spherical-symmetry breaking of the angulon ground state and a discontinuity in the first derivative of the ground-state energy. Moreover, the type of the symmetry breaking is dictated by the symmetry of the microscopic impurity-bath interaction, which leads to a number of distinct self-localized states. The predicted effects can potentially be addressed in experiments on cold molecules trapped in superfluid helium droplets and ultracold quantum gases, as well as on electronic excitations in solids and Bose-Einstein condensates. ","lang":"eng"}],"oa_version":"Published Version","volume":95,"issue":"3","related_material":{"record":[{"id":"8958","status":"public","relation":"dissertation_contains"}]},"ec_funded":1,"publication_identifier":{"issn":["24699926"]},"publication_status":"published","language":[{"iso":"eng"}],"type":"journal_article","status":"public","_id":"1120","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"date_updated":"2023-09-20T11:30:58Z","quality_controlled":"1","publisher":"American Physical Society","oa":1,"date_published":"2017-03-06T00:00:00Z","doi":"10.1103/PhysRevA.95.033608","date_created":"2018-12-11T11:50:15Z","isi":1,"year":"2017","day":"06","publication":"Physical Review A","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"},{"_id":"26031614-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Quantum rotations in the presence of a many-body environment","grant_number":"P29902"}],"article_number":"033608","publist_id":"6242","author":[{"first_name":"Xiang","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","last_name":"Li","full_name":"Li, Xiang"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"},{"full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail"}],"external_id":{"isi":["000395981900009"]},"article_processing_charge":"No","title":"Angular self-localization of impurities rotating in a bosonic bath","citation":{"mla":"Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A, vol. 95, no. 3, 033608, American Physical Society, 2017, doi:10.1103/PhysRevA.95.033608.","apa":"Li, X., Seiringer, R., & Lemeshko, M. (2017). Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. American Physical Society. https://doi.org/10.1103/PhysRevA.95.033608","ama":"Li X, Seiringer R, Lemeshko M. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 2017;95(3). doi:10.1103/PhysRevA.95.033608","short":"X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).","ieee":"X. Li, R. Seiringer, and M. Lemeshko, “Angular self-localization of impurities rotating in a bosonic bath,” Physical Review A, vol. 95, no. 3. American Physical Society, 2017.","chicago":"Li, Xiang, Robert Seiringer, and Mikhail Lemeshko. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A. American Physical Society, 2017. https://doi.org/10.1103/PhysRevA.95.033608.","ista":"Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 95(3), 033608."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1"},{"quality_controlled":"1","publisher":"Springer","oa":1,"isi":1,"year":"2017","day":"01","publication":"Mathematical Physics, Analysis and Geometry","doi":"10.1007/s11040-017-9238-0","date_published":"2017-06-01T00:00:00Z","date_created":"2018-12-11T11:50:02Z","article_number":"6","project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"citation":{"mla":"Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis and Geometry, vol. 20, no. 2, 6, Springer, 2017, doi:10.1007/s11040-017-9238-0.","short":"P. Nam, H. Van Den Bosch, Mathematical Physics, Analysis and Geometry 20 (2017).","ieee":"P. Nam and H. Van Den Bosch, “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges,” Mathematical Physics, Analysis and Geometry, vol. 20, no. 2. Springer, 2017.","ama":"Nam P, Van Den Bosch H. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis and Geometry. 2017;20(2). doi:10.1007/s11040-017-9238-0","apa":"Nam, P., & Van Den Bosch, H. (2017). Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-017-9238-0","chicago":"Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis and Geometry. Springer, 2017. https://doi.org/10.1007/s11040-017-9238-0.","ista":"Nam P, Van Den Bosch H. 2017. Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges. Mathematical Physics, Analysis and Geometry. 20(2), 6."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publist_id":"6300","author":[{"last_name":"Nam","full_name":"Nam, Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","first_name":"Phan"},{"last_name":"Van Den Bosch","full_name":"Van Den Bosch, Hanne","first_name":"Hanne"}],"article_processing_charge":"No","external_id":{"isi":["000401270000004"]},"title":"Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges","abstract":[{"lang":"eng","text":"We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecules. We prove the nonexistence of minimizers for the energy functional when the number of electrons is large and the total nuclear charge is small. This nonexistence result also applies to external potentials decaying faster than the Coulomb potential. In the case of arbitrary nuclear charges, we obtain the nonexistence of stable minimizers and radial minimizers."}],"oa_version":"Submitted Version","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1603.07368","open_access":"1"}],"month":"06","intvolume":" 20","publication_identifier":{"issn":["13850172"]},"publication_status":"published","language":[{"iso":"eng"}],"issue":"2","volume":20,"_id":"1079","type":"journal_article","status":"public","date_updated":"2023-09-20T11:53:35Z","department":[{"_id":"RoSe"}]},{"_id":"741","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","pubrep_id":"880","date_updated":"2023-09-27T12:34:15Z","ddc":["539"],"department":[{"_id":"RoSe"}],"file_date_updated":"2020-07-14T12:47:57Z","abstract":[{"text":"We prove that a system of N fermions interacting with an additional particle via point interactions is stable if the ratio of the mass of the additional particle to the one of the fermions is larger than some critical m*. The value of m* is independent of N and turns out to be less than 1. This fact has important implications for the stability of the unitary Fermi gas. We also characterize the domain of the Hamiltonian of this model, and establish the validity of the Tan relations for all wave functions in the domain.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","month":"11","intvolume":" 356","publication_identifier":{"issn":["00103616"]},"publication_status":"published","file":[{"creator":"system","date_updated":"2020-07-14T12:47:57Z","file_size":952639,"date_created":"2018-12-12T10:10:50Z","file_name":"IST-2017-880-v1+1_s00220-017-2980-0.pdf","access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_id":"4841","checksum":"0fd9435400f91e9b3c5346319a2d24e3"}],"language":[{"iso":"eng"}],"volume":356,"issue":"1","related_material":{"record":[{"status":"public","id":"52","relation":"dissertation_contains"}]},"ec_funded":1,"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"citation":{"ista":"Moser T, Seiringer R. 2017. Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. 356(1), 329–355.","chicago":"Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s00220-017-2980-0.","apa":"Moser, T., & Seiringer, R. (2017). Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-017-2980-0","ama":"Moser T, Seiringer R. Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. 2017;356(1):329-355. doi:10.1007/s00220-017-2980-0","ieee":"T. Moser and R. Seiringer, “Stability of a fermionic N+1 particle system with point interactions,” Communications in Mathematical Physics, vol. 356, no. 1. Springer, pp. 329–355, 2017.","short":"T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 329–355.","mla":"Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics, vol. 356, no. 1, Springer, 2017, pp. 329–55, doi:10.1007/s00220-017-2980-0."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publist_id":"6926","author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","last_name":"Moser","full_name":"Moser, Thomas"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"article_processing_charge":"No","external_id":{"isi":["000409821300010"]},"title":"Stability of a fermionic N+1 particle system with point interactions","publisher":"Springer","quality_controlled":"1","oa":1,"has_accepted_license":"1","isi":1,"year":"2017","day":"01","publication":"Communications in Mathematical Physics","page":"329 - 355","doi":"10.1007/s00220-017-2980-0","date_published":"2017-11-01T00:00:00Z","date_created":"2018-12-11T11:48:15Z"}]