[{"ec_funded":1,"article_number":"110320","volume":286,"date_created":"2024-02-04T23:00:53Z","date_updated":"2024-03-28T10:54:02Z","author":[{"orcid":"0000-0003-4476-2288","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","last_name":"Lauritsen","first_name":"Asbjørn Bækgaard","full_name":"Lauritsen, Asbjørn Bækgaard"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"publisher":"Elsevier","department":[{"_id":"RoSe"}],"publication_status":"epub_ahead","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.","year":"2024","publication_identifier":{"issn":["0022-1236"],"eissn":["1096--0783"]},"month":"01","language":[{"iso":"eng"}],"doi":"10.1016/j.jfa.2024.110320","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"grant_number":"I06427","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","name":"Mathematical Challenges in BCS Theory of Superconductivity"}],"quality_controlled":"1","oa":1,"main_file_link":[{"url":"https://doi.org/10.1016/j.jfa.2024.110320","open_access":"1"}],"external_id":{"arxiv":["2301.04894"]},"issue":"7","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]."}],"type":"journal_article","oa_version":"Published Version","intvolume":" 286","title":"Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion","status":"public","_id":"14931","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (via OA deal)","day":"24","scopus_import":"1","date_published":"2024-01-24T00:00:00Z","article_type":"original","citation":{"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","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.","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.","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","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.","short":"A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).","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."},"publication":"Journal of Functional Analysis"},{"ec_funded":1,"publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged.","year":"2023","date_created":"2023-01-15T23:00:52Z","date_updated":"2023-08-16T11:34:03Z","volume":24,"author":[{"full_name":"Boccato, Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","first_name":"Chiara","last_name":"Boccato"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"month":"05","publication_identifier":{"issn":["1424-0637"]},"quality_controlled":"1","isi":1,"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"oa":1,"external_id":{"arxiv":["2205.15284"],"isi":["000910751800002"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2205.15284"}],"language":[{"iso":"eng"}],"doi":"10.1007/s00023-022-01252-3","type":"journal_article","abstract":[{"lang":"eng","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."}],"status":"public","title":"The Bose Gas in a box with Neumann boundary conditions","intvolume":" 24","_id":"12183","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","scopus_import":"1","day":"01","article_processing_charge":"No","article_type":"original","page":"1505-1560","publication":"Annales Henri Poincare","citation":{"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","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.","ista":"Boccato C, Seiringer R. 2023. The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. 24, 1505–1560.","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","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.","short":"C. Boccato, R. Seiringer, Annales Henri Poincare 24 (2023) 1505–1560.","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."},"date_published":"2023-05-01T00:00:00Z"},{"article_number":"2350006","year":"2023","publisher":"World Scientific Publishing","department":[{"_id":"RoSe"}],"publication_status":"published","author":[{"last_name":"Falconi","first_name":"Marco","full_name":"Falconi, Marco"},{"full_name":"Leopold, Nikolai K","first_name":"Nikolai K","last_name":"Leopold","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0495-6822"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes","full_name":"Mitrouskas, David Johannes"},{"id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9166-5889","first_name":"Sören P","last_name":"Petrat","full_name":"Petrat, Sören P"}],"volume":35,"date_updated":"2023-08-16T11:47:27Z","date_created":"2023-01-29T23:00:59Z","publication_identifier":{"issn":["0129-055X"]},"month":"01","oa":1,"external_id":{"isi":["000909760300001"],"arxiv":["2110.00458"]},"main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2110.00458","open_access":"1"}],"quality_controlled":"1","isi":1,"doi":"10.1142/S0129055X2350006X","language":[{"iso":"eng"}],"type":"journal_article","issue":"4","abstract":[{"lang":"eng","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."}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"12430","intvolume":" 35","title":"Bogoliubov dynamics and higher-order corrections for the regularized Nelson model","status":"public","oa_version":"Preprint","scopus_import":"1","article_processing_charge":"No","day":"09","citation":{"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.","short":"M. Falconi, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Reviews in Mathematical Physics 35 (2023).","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.","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","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.","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"},"publication":"Reviews in Mathematical Physics","article_type":"original","date_published":"2023-01-09T00:00:00Z"},{"page":"206","citation":{"mla":"Roos, Barbara. Boundary Superconductivity in BCS Theory. Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:14374.","short":"B. Roos, Boundary Superconductivity in BCS Theory, Institute of Science and Technology Austria, 2023.","chicago":"Roos, Barbara. “Boundary Superconductivity in BCS Theory.” Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:14374.","ama":"Roos B. Boundary superconductivity in BCS theory. 2023. doi:10.15479/at:ista:14374","ista":"Roos B. 2023. Boundary superconductivity in BCS theory. Institute of Science and Technology Austria.","apa":"Roos, B. (2023). Boundary superconductivity in BCS theory. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:14374","ieee":"B. Roos, “Boundary superconductivity in BCS theory,” Institute of Science and Technology Austria, 2023."},"date_published":"2023-09-30T00:00:00Z","day":"30","article_processing_charge":"No","has_accepted_license":"1","title":"Boundary superconductivity in BCS theory","status":"public","ddc":["515","539"],"_id":"14374","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","file":[{"date_updated":"2023-10-06T11:35:56Z","date_created":"2023-10-06T11:35:56Z","checksum":"ef039ffc3de2cb8dee5b14110938e9b6","relation":"main_file","file_id":"14398","file_size":2365702,"content_type":"application/pdf","creator":"broos","file_name":"phd-thesis-draft_pdfa_acrobat.pdf","access_level":"open_access"},{"relation":"source_file","file_id":"14399","checksum":"81dcac33daeefaf0111db52f41bb1fd0","date_created":"2023-10-06T11:38:01Z","date_updated":"2023-10-06T11:38:01Z","access_level":"closed","file_name":"Version5.zip","file_size":4691734,"content_type":"application/x-zip-compressed","creator":"broos"}],"oa_version":"Published Version","alternative_title":["ISTA Thesis"],"type":"dissertation","abstract":[{"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.","lang":"eng"}],"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"grant_number":"I06427","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","name":"Mathematical Challenges in BCS Theory of Superconductivity"}],"oa":1,"tmp":{"name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","image":"/images/cc_by_nc_sa.png","short":"CC BY-NC-SA (4.0)"},"degree_awarded":"PhD","supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"language":[{"iso":"eng"}],"doi":"10.15479/at:ista:14374","month":"09","publication_identifier":{"issn":["2663 - 337X"]},"publication_status":"published","publisher":"Institute of Science and Technology Austria","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"year":"2023","date_updated":"2023-10-27T10:37:30Z","date_created":"2023-09-28T14:23:04Z","author":[{"full_name":"Roos, Barbara","first_name":"Barbara","last_name":"Roos","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","orcid":"0000-0002-9071-5880"}],"related_material":{"record":[{"id":"13207","relation":"part_of_dissertation","status":"public"},{"relation":"part_of_dissertation","status":"public","id":"10850"}]},"file_date_updated":"2023-10-06T11:38:01Z","ec_funded":1},{"author":[{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"full_name":"Roos, Barbara","orcid":"0000-0002-9071-5880","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","last_name":"Roos","first_name":"Barbara"},{"full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"14374"}]},"date_updated":"2023-10-27T10:37:29Z","date_created":"2023-07-10T16:35:45Z","volume":12,"year":"2023","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.","publication_status":"published","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"publisher":"EMS Press","file_date_updated":"2023-07-11T08:19:15Z","ec_funded":1,"doi":"10.4171/JST/439","language":[{"iso":"eng"}],"oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000997933500008"],"arxiv":["2201.08090"]},"quality_controlled":"1","isi":1,"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"month":"05","publication_identifier":{"eissn":["1664-0403"],"issn":["1664-039X"]},"file":[{"relation":"main_file","file_id":"13208","checksum":"5501da33be010b5c81440438287584d5","success":1,"date_updated":"2023-07-11T08:19:15Z","date_created":"2023-07-11T08:19:15Z","access_level":"open_access","file_name":"2023_EMS_Hainzl.pdf","content_type":"application/pdf","file_size":304619,"creator":"alisjak"}],"oa_version":"Published Version","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"13207","ddc":["530"],"title":"Boundary superconductivity in the BCS model","status":"public","intvolume":" 12","abstract":[{"lang":"eng","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."}],"issue":"4","type":"journal_article","date_published":"2023-05-18T00:00:00Z","publication":"Journal of Spectral Theory","citation":{"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.","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.","short":"C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540.","ista":"Hainzl C, Roos B, Seiringer R. 2023. Boundary superconductivity in the BCS model. Journal of Spectral Theory. 12(4), 1507–1540.","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.","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"},"article_type":"original","page":"1507–1540","day":"18","has_accepted_license":"1","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 acknowledged. Open access funding provided by Institute of Science and Technology (IST Austria).","year":"2023","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"publication_status":"published","author":[{"first_name":"Morris","last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","orcid":"0000-0002-6249-0928","full_name":"Brooks, Morris"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"volume":404,"date_created":"2023-10-22T22:01:13Z","date_updated":"2023-10-31T12:22:51Z","ec_funded":1,"file_date_updated":"2023-10-31T12:21:39Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"arxiv":["2207.03156"]},"oa":1,"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"quality_controlled":"1","doi":"10.1007/s00220-023-04841-3","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"month":"11","_id":"14441","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 404","ddc":["510"],"status":"public","title":"The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy","oa_version":"Published Version","file":[{"access_level":"open_access","file_name":"2023_CommMathPhysics_Brooks.pdf","file_size":832375,"content_type":"application/pdf","creator":"dernst","relation":"main_file","file_id":"14477","checksum":"1ae49b39247cb6b40ff75997381581b8","success":1,"date_updated":"2023-10-31T12:21:39Z","date_created":"2023-10-31T12:21:39Z"}],"type":"journal_article","abstract":[{"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.","lang":"eng"}],"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.","short":"M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.","chicago":"Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part I - The Quantum Correction to the Classical Energy.” Communications in Mathematical Physics. Springer Nature, 2023. https://doi.org/10.1007/s00220-023-04841-3.","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","ista":"Brooks M, Seiringer R. 2023. The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy. Communications in Mathematical Physics. 404, 287–337.","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.","apa":"Brooks, M., & Seiringer, R. (2023). The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-023-04841-3"},"publication":"Communications in Mathematical Physics","page":"287-337","article_type":"original","date_published":"2023-11-01T00:00:00Z","scopus_import":"1","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"01"},{"oa_version":"Published Version","file":[{"file_id":"13186","relation":"main_file","success":1,"checksum":"f672eb7dd015c472c9a04f1b9bf9df7d","date_created":"2023-07-03T10:36:25Z","date_updated":"2023-07-03T10:36:25Z","access_level":"open_access","file_name":"2023_ForumofMathematics.Sigma_Mitrouskas.pdf","creator":"alisjak","file_size":943192,"content_type":"application/pdf"}],"title":"Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron","ddc":["500"],"status":"public","intvolume":" 11","_id":"13178","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","abstract":[{"text":"We consider the large polaron described by the Fröhlich Hamiltonian and study its energy-momentum relation defined as the lowest possible energy as a function of the total momentum. Using a suitable family of trial states, we derive an optimal parabolic upper bound for the energy-momentum relation in the limit of strong coupling. The upper bound consists of a momentum independent term that agrees with the predicted two-term expansion for the ground state energy of the strongly coupled polaron at rest and a term that is quadratic in the momentum with coefficient given by the inverse of twice the classical effective mass introduced by Landau and Pekar.","lang":"eng"}],"type":"journal_article","date_published":"2023-06-13T00:00:00Z","article_type":"original","page":"1-52","publication":"Forum of Mathematics","citation":{"mla":"Mitrouskas, David Johannes, et al. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” Forum of Mathematics, vol. 11, Cambridge University Press, 2023, pp. 1–52, doi:10.1017/fms.2023.45.","short":"D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52.","chicago":"Mitrouskas, David Johannes, Krzysztof Mysliwy, and Robert Seiringer. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” Forum of Mathematics. Cambridge University Press, 2023. https://doi.org/10.1017/fms.2023.45.","ama":"Mitrouskas DJ, Mysliwy K, Seiringer R. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. Forum of Mathematics. 2023;11:1-52. doi:10.1017/fms.2023.45","ista":"Mitrouskas DJ, Mysliwy K, Seiringer R. 2023. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. Forum of Mathematics. 11, 1–52.","apa":"Mitrouskas, D. J., Mysliwy, K., & Seiringer, R. (2023). Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. Forum of Mathematics. Cambridge University Press. https://doi.org/10.1017/fms.2023.45","ieee":"D. J. Mitrouskas, K. Mysliwy, and R. Seiringer, “Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron,” Forum of Mathematics, vol. 11. 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Research Data for: A Stochastic Cellular Automaton Model of Culture Formation. Institute of Science and Technology Austria, 2023, doi:10.15479/AT:ISTA:12869.","short":"F.R. Klausen, A.B. Lauritsen, (2023).","ista":"Klausen FR, Lauritsen AB. 2023. Research data for: A stochastic cellular automaton model of culture formation, Institute of Science and Technology Austria, 10.15479/AT:ISTA:12869.","ieee":"F. R. Klausen and A. B. Lauritsen, “Research data for: A stochastic cellular automaton model of culture formation.” Institute of Science and Technology Austria, 2023.","apa":"Klausen, F. R., & Lauritsen, A. B. (2023). Research data for: A stochastic cellular automaton model of culture formation. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:12869","ama":"Klausen FR, Lauritsen AB. 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We see how the model reproduces some qualitative features of European culture formation, namely that rivers and mountains are more frequently borders between cultures, mountainous regions tend to have higher cultural diversity and the central European plain has less clear cultural borders. 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","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","year":"2023","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"publisher":"Institute of Science and Technology Austria","status":"public","ddc":["000"],"title":"Research data for: A stochastic cellular automaton model of culture formation"},{"scopus_import":"1","day":"08","article_processing_charge":"No","publication":"Physical Review E","citation":{"ama":"Klausen FR, Lauritsen AB. Stochastic cellular automaton model of culture formation. Physical Review E. 2023;108(5). doi:10.1103/PhysRevE.108.054307","ieee":"F. R. Klausen and A. B. Lauritsen, “Stochastic cellular automaton model of culture formation,” Physical Review E, vol. 108, no. 5. American Physical Society, 2023.","apa":"Klausen, F. R., & Lauritsen, A. B. (2023). Stochastic cellular automaton model of culture formation. Physical Review E. American Physical Society. https://doi.org/10.1103/PhysRevE.108.054307","ista":"Klausen FR, Lauritsen AB. 2023. Stochastic cellular automaton model of culture formation. Physical Review E. 108(5), 054307.","short":"F.R. Klausen, A.B. Lauritsen, Physical Review E 108 (2023).","mla":"Klausen, Frederik Ravn, and Asbjørn Bækgaard Lauritsen. “Stochastic Cellular Automaton Model of Culture Formation.” Physical Review E, vol. 108, no. 5, 054307, American Physical Society, 2023, doi:10.1103/PhysRevE.108.054307.","chicago":"Klausen, Frederik Ravn, and Asbjørn Bækgaard Lauritsen. “Stochastic Cellular Automaton Model of Culture Formation.” Physical Review E. American Physical Society, 2023. https://doi.org/10.1103/PhysRevE.108.054307."},"article_type":"original","date_published":"2023-11-08T00:00:00Z","type":"journal_article","abstract":[{"lang":"eng","text":"We introduce a stochastic cellular automaton as a model for culture and border formation. 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. We see how the model reproduces some qualitative features of European culture formation, namely, that rivers and mountains are more frequently borders between cultures, mountainous regions tend to have higher cultural diversity, and the central European plain has less clear cultural borders."}],"issue":"5","_id":"12890","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","title":"Stochastic cellular automaton model of culture formation","intvolume":" 108","oa_version":"Preprint","month":"11","publication_identifier":{"issn":["2470-0045"],"eissn":["2470-0053"]},"oa":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2305.02153","open_access":"1"}],"external_id":{"arxiv":["2305.02153"]},"quality_controlled":"1","doi":"10.1103/PhysRevE.108.054307","language":[{"iso":"eng"}],"article_number":"054307","acknowledgement":"Thanks to Kim Sneppen, Svend Krøjer, Peter Wildemann, Peter Rasmussen and Kent Bækgaard Lauritsen for discussions and suggestions. FRK acknowledges support from the Villum Foundation for support through the QMATH center of Excellence (Grant No. 10059) and the Villum Young Investigator (Grant No. 25452) programs.","year":"2023","publication_status":"published","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"publisher":"American Physical Society","author":[{"full_name":"Klausen, Frederik Ravn","last_name":"Klausen","first_name":"Frederik Ravn"},{"full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","orcid":"0000-0003-4476-2288","first_name":"Asbjørn Bækgaard","last_name":"Lauritsen"}],"related_material":{"link":[{"url":"https://github.com/FrederikRavnKlausen/model-for-culture-formation","relation":"software"}],"record":[{"relation":"research_data","status":"public","id":"12869"}]},"date_updated":"2023-11-13T07:47:30Z","date_created":"2023-05-04T08:35:01Z","volume":108},{"citation":{"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.","short":"D. Feliciangeli, A. Gerolin, L. Portinale, Journal of Functional Analysis 285 (2023).","chicago":"Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” Journal of Functional Analysis. Elsevier, 2023. 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. Journal of Functional Analysis. 2023;285(4). doi: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.","apa":"Feliciangeli, D., Gerolin, A., & Portinale, L. (2023). A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. 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Elsevier, 2023."},"publication":"Journal of Functional Analysis","article_type":"original","date_published":"2023-08-15T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"15","_id":"12911","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 285","title":"A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature","status":"public","oa_version":"Preprint","type":"journal_article","issue":"4","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 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"}],"external_id":{"isi":["000990804300001"],"arxiv":["2106.11217"]},"oa":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2106.11217","open_access":"1"}],"project":[{"name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020","_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"grant_number":" F06504","_id":"260482E2-B435-11E9-9278-68D0E5697425","name":"Taming Complexity in Partial Di erential Systems","call_identifier":"FWF"}],"isi":1,"quality_controlled":"1","doi":"10.1016/j.jfa.2023.109963","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"month":"08","year":"2023","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 thank 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. 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.","department":[{"_id":"RoSe"},{"_id":"JaMa"}],"publisher":"Elsevier","publication_status":"published","related_material":{"record":[{"relation":"earlier_version","status":"public","id":"9792"}]},"author":[{"full_name":"Feliciangeli, Dario","first_name":"Dario","last_name":"Feliciangeli","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530"},{"first_name":"Augusto","last_name":"Gerolin","full_name":"Gerolin, Augusto"},{"last_name":"Portinale","first_name":"Lorenzo","id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","full_name":"Portinale, Lorenzo"}],"volume":285,"date_updated":"2023-11-14T13:21:01Z","date_created":"2023-05-07T22:01:02Z","article_number":"109963","ec_funded":1},{"external_id":{"arxiv":["2301.05621"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"main_file_link":[{"url":"https://doi.org/10.1142/S0129055X2360005X","open_access":"1"}],"quality_controlled":"1","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d"},{"grant_number":"I06427","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","name":"Mathematical Challenges in BCS Theory of Superconductivity"}],"doi":"10.1142/s0129055x2360005x","language":[{"iso":"eng"}],"month":"10","publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"year":"2023","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.","publication_status":"epub_ahead","department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"publisher":"World Scientific Publishing","author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","first_name":"Sven Joscha","last_name":"Henheik","full_name":"Henheik, Sven Joscha"},{"full_name":"Lauritsen, Asbjørn Bækgaard","first_name":"Asbjørn Bækgaard","last_name":"Lauritsen","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","orcid":"0000-0003-4476-2288"},{"full_name":"Roos, Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","orcid":"0000-0002-9071-5880","first_name":"Barbara","last_name":"Roos"}],"date_updated":"2023-11-20T10:04:38Z","date_created":"2023-11-15T23:48:14Z","article_number":"2360005 ","ec_funded":1,"publication":"Reviews in Mathematical Physics","citation":{"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.","ista":"Henheik SJ, Lauritsen AB, Roos B. 2023. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics., 2360005.","short":"S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics (2023).","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.","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."},"article_type":"original","date_published":"2023-10-31T00:00:00Z","scopus_import":"1","day":"31","has_accepted_license":"1","article_processing_charge":"Yes (in subscription journal)","_id":"14542","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","title":"Universality in low-dimensional BCS theory","oa_version":"Published Version","type":"journal_article","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."}]},{"author":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"volume":13,"date_updated":"2023-12-11T12:12:14Z","date_created":"2023-12-10T23:00:59Z","year":"2023","publisher":"EMS Press","department":[{"_id":"RoSe"}],"publication_status":"published","file_date_updated":"2023-12-11T12:03:12Z","doi":"10.4171/JST/469","language":[{"iso":"eng"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"arxiv":["2210.17123"]},"oa":1,"quality_controlled":"1","publication_identifier":{"issn":["1664-039X"],"eissn":["1664-0403"]},"month":"11","oa_version":"None","file":[{"relation":"main_file","file_id":"14677","date_updated":"2023-12-11T12:03:12Z","date_created":"2023-12-11T12:03:12Z","checksum":"9ce96ca87d56ea9a70d2eb9a32839f8d","success":1,"file_name":"2023_JST_Seiringer.pdf","access_level":"open_access","content_type":"application/pdf","file_size":201513,"creator":"dernst"}],"_id":"14662","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 13","status":"public","ddc":["510"],"title":"Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling","issue":"3","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"}],"type":"journal_article","date_published":"2023-11-25T00:00:00Z","citation":{"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","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.","ista":"Seiringer R. 2023. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory. 13(3), 1045–1055.","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","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.","short":"R. Seiringer, Journal of Spectral Theory 13 (2023) 1045–1055.","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."},"publication":"Journal of Spectral Theory","page":"1045-1055","article_type":"original","article_processing_charge":"Yes","has_accepted_license":"1","day":"25","scopus_import":"1"},{"oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["001024369000001"],"arxiv":["2106.13185"]},"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"isi":1,"quality_controlled":"1","doi":"10.1007/s00205-023-01893-6","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"month":"08","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.","year":"2023","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","publication_status":"published","author":[{"last_name":"Benedikter","first_name":"Niels P","orcid":"0000-0002-1071-6091","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","full_name":"Benedikter, Niels P"},{"full_name":"Porta, Marcello","last_name":"Porta","first_name":"Marcello"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"volume":247,"date_created":"2023-07-16T22:01:08Z","date_updated":"2023-12-13T11:31:14Z","article_number":"65","ec_funded":1,"file_date_updated":"2023-11-14T13:12:12Z","citation":{"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","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.","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","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.","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.","short":"N.P. Benedikter, M. Porta, B. Schlein, R. Seiringer, Archive for Rational Mechanics and Analysis 247 (2023).","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."},"publication":"Archive for Rational Mechanics and Analysis","article_type":"original","date_published":"2023-08-01T00:00:00Z","scopus_import":"1","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"13225","intvolume":" 247","status":"public","title":"Correlation energy of a weakly interacting Fermi gas with large interaction potential","ddc":["510"],"oa_version":"Published Version","file":[{"file_id":"14535","relation":"main_file","date_updated":"2023-11-14T13:12:12Z","date_created":"2023-11-14T13:12:12Z","success":1,"checksum":"2b45828d854a253b14bf7aa196ec55e9","file_name":"2023_ArchiveRationalMechAnalysis_Benedikter.pdf","access_level":"open_access","creator":"dernst","file_size":851626,"content_type":"application/pdf"}],"type":"journal_article","issue":"4","abstract":[{"lang":"eng","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."}]},{"date_published":"2023-07-03T00:00:00Z","publication":"Letters in Mathematical Physics","citation":{"short":"L. Bossmann, S.P. Petrat, Letters in Mathematical Physics 113 (2023).","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.","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.","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","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","ista":"Bossmann L, Petrat SP. 2023. Weak Edgeworth expansion for the mean-field Bose gas. Letters in Mathematical Physics. 113(4), 77."},"article_type":"original","day":"03","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","oa_version":"Published Version","_id":"13226","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Weak Edgeworth expansion for the mean-field Bose gas","status":"public","intvolume":" 113","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."}],"issue":"4","type":"journal_article","doi":"10.1007/s11005-023-01698-4","language":[{"iso":"eng"}],"external_id":{"arxiv":["2208.00199"],"isi":["001022878900002"]},"quality_controlled":"1","isi":1,"project":[{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"}],"month":"07","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"author":[{"orcid":"0000-0002-6854-1343","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","last_name":"Bossmann","first_name":"Lea","full_name":"Bossmann, Lea"},{"last_name":"Petrat","first_name":"Sören P","orcid":"0000-0002-9166-5889","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","full_name":"Petrat, Sören P"}],"date_created":"2023-07-16T22:01:08Z","date_updated":"2023-12-13T11:31:50Z","volume":113,"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.","year":"2023","publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"ec_funded":1,"article_number":"77"},{"month":"07","publication_identifier":{"issn":["1385-0172"],"eissn":["1572-9656"]},"isi":1,"quality_controlled":"1","external_id":{"arxiv":["2206.14708"],"isi":["001032992600001"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s11040-023-09460-x","article_number":"17","file_date_updated":"2023-08-23T10:59:15Z","publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"year":"2023","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.","date_created":"2023-08-22T14:09:47Z","date_updated":"2023-12-13T12:16:19Z","volume":26,"author":[{"full_name":"Lampart, Jonas","first_name":"Jonas","last_name":"Lampart"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes","full_name":"Mitrouskas, David Johannes"},{"full_name":"Mysliwy, Krzysztof","first_name":"Krzysztof","last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87"}],"keyword":["Geometry and Topology","Mathematical Physics"],"scopus_import":"1","day":"26","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","article_type":"original","publication":"Mathematical Physics, Analysis and Geometry","citation":{"short":"J. Lampart, D.J. Mitrouskas, K. Mysliwy, Mathematical Physics, Analysis and Geometry 26 (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.","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.","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","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.","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","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."},"date_published":"2023-07-26T00:00:00Z","type":"journal_article","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"}],"issue":"3","ddc":["510"],"status":"public","title":"On the global minimum of the energy–momentum relation for the polaron","intvolume":" 26","_id":"14192","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Published Version","file":[{"file_id":"14225","relation":"main_file","date_created":"2023-08-23T10:59:15Z","date_updated":"2023-08-23T10:59:15Z","success":1,"checksum":"f0941cc66cb3ed06a12ca4b7e356cfd6","file_name":"2023_MathPhysics_Lampart.pdf","access_level":"open_access","creator":"dernst","file_size":317026,"content_type":"application/pdf"}]},{"file_date_updated":"2024-01-02T08:45:07Z","article_number":"121901","author":[{"full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"full_name":"Pickl, Peter","last_name":"Pickl","first_name":"Peter"}],"date_updated":"2024-01-02T08:51:28Z","date_created":"2023-12-31T23:01:02Z","volume":64,"year":"2023","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.”","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"AIP Publishing","month":"12","publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"doi":"10.1063/5.0172199","language":[{"iso":"eng"}],"external_id":{"arxiv":["2307.11062"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"quality_controlled":"1","abstract":[{"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.","lang":"eng"}],"issue":"12","type":"journal_article","file":[{"file_id":"14722","relation":"main_file","success":1,"checksum":"66572f718a36465576cf0d6b3f7e01fc","date_created":"2024-01-02T08:45:07Z","date_updated":"2024-01-02T08:45:07Z","access_level":"open_access","file_name":"2023_JourMathPhysics_Mitrouskas.pdf","creator":"dernst","file_size":4346922,"content_type":"application/pdf"}],"oa_version":"Published Version","_id":"14715","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Exponential decay of the number of excitations in the weakly interacting Bose gas","ddc":["510"],"status":"public","intvolume":" 64","day":"01","has_accepted_license":"1","article_processing_charge":"Yes (in subscription journal)","scopus_import":"1","date_published":"2023-12-01T00:00:00Z","publication":"Journal of Mathematical Physics","citation":{"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.","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.","short":"D.J. Mitrouskas, P. Pickl, Journal of Mathematical Physics 64 (2023).","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.","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","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.","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"},"article_type":"original"},{"issue":"4","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."}],"type":"journal_article","volume":5,"oa_version":"None","date_created":"2024-01-22T08:24:23Z","date_updated":"2024-01-23T12:55:12Z","author":[{"full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"intvolume":" 5","publisher":"Mathematical Sciences Publishers","department":[{"_id":"RoSe"}],"publication_status":"published","title":"Ubiquity of bound states for the strongly coupled polaron","status":"public","_id":"14854","year":"2023","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","publication_identifier":{"issn":["2578-5885","2578-5893"]},"month":"12","day":"15","keyword":["General Medicine"],"language":[{"iso":"eng"}],"doi":"10.2140/paa.2023.5.973","date_published":"2023-12-15T00:00:00Z","page":"973-1008","article_type":"original","quality_controlled":"1","citation":{"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.","short":"D.J. Mitrouskas, R. Seiringer, Pure and Applied Analysis 5 (2023) 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.","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","ista":"Mitrouskas DJ, Seiringer R. 2023. Ubiquity of bound states for the strongly coupled polaron. Pure and Applied Analysis. 5(4), 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"},"publication":"Pure and Applied Analysis"},{"has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"15","scopus_import":"1","date_published":"2023-11-15T00:00:00Z","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.","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.","short":"R. Seiringer, J.P. Solovej, Journal of Functional Analysis 285 (2023).","ista":"Seiringer R, Solovej JP. 2023. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 285(10), 110129.","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.","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"},"publication":"Journal of Functional Analysis","article_type":"original","issue":"10","abstract":[{"lang":"eng","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."}],"type":"journal_article","oa_version":"Published Version","file":[{"access_level":"open_access","file_name":"2023_JourFunctionalAnalysis_Seiringer.pdf","creator":"dernst","content_type":"application/pdf","file_size":232934,"file_id":"14915","relation":"main_file","success":1,"checksum":"28e424ad91be6219e9d321054ce3a412","date_created":"2024-01-30T14:15:16Z","date_updated":"2024-01-30T14:15:16Z"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14254","intvolume":" 285","title":"A simple approach to Lieb-Thirring type inequalities","status":"public","ddc":["510"],"publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"month":"11","doi":"10.1016/j.jfa.2023.110129","language":[{"iso":"eng"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"external_id":{"arxiv":["2303.04504"],"isi":["001071552300001"]},"quality_controlled":"1","isi":1,"file_date_updated":"2024-01-30T14:15:16Z","article_number":"110129","author":[{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"},{"full_name":"Solovej, Jan Philip","first_name":"Jan Philip","last_name":"Solovej"}],"volume":285,"date_updated":"2024-01-30T14:17:23Z","date_created":"2023-09-03T22:01:14Z","year":"2023","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).","publisher":"Elsevier","department":[{"_id":"RoSe"}],"publication_status":"published"},{"date_updated":"2024-02-20T08:33:06Z","date_created":"2024-02-14T14:44:33Z","author":[{"first_name":"Mathieu","last_name":"Lewin","full_name":"Lewin, Mathieu"},{"full_name":"Lieb, Elliott H.","first_name":"Elliott H.","last_name":"Lieb"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"edition":"1","publication_status":"published","publisher":"Springer","department":[{"_id":"RoSe"}],"editor":[{"full_name":"Cances, Eric","first_name":"Eric","last_name":"Cances"},{"full_name":"Friesecke, Gero","last_name":"Friesecke","first_name":"Gero"}],"year":"2023","month":"07","publication_identifier":{"issn":["3005-0286"],"eisbn":["9783031223402"],"isbn":["9783031223396"]},"language":[{"iso":"eng"}],"doi":"10.1007/978-3-031-22340-2_3","quality_controlled":"1","oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1912.10424"}],"external_id":{"arxiv":["1912.10424"]},"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."}],"alternative_title":["Mathematics and Molecular Modeling"],"type":"book_chapter","oa_version":"Preprint","title":"Universal Functionals in Density Functional Theory","status":"public","_id":"14992","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"19","article_processing_charge":"No","series_title":"MAMOMO","date_published":"2023-07-19T00:00:00Z","page":"115-182","publication":"Density Functional Theory","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.","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.","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","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","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.","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.","short":"M. Lewin, E.H. Lieb, R. Seiringer, in:, E. Cances, G. Friesecke (Eds.), Density Functional Theory, 1st ed., Springer, 2023, pp. 115–182."}},{"year":"2022","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].","publication_status":"published","department":[{"_id":"MaSe"},{"_id":"RoSe"}],"publisher":"American Physical Society","author":[{"id":"F75EE9BE-5C90-11EA-905D-16643DDC885E","last_name":"Ljubotina","first_name":"Marko","full_name":"Ljubotina, Marko"},{"id":"5DA90512-D80F-11E9-8994-2E2EE6697425","orcid":"0000-0002-9071-5880","first_name":"Barbara","last_name":"Roos","full_name":"Roos, Barbara"},{"full_name":"Abanin, Dmitry A.","last_name":"Abanin","first_name":"Dmitry A."},{"last_name":"Serbyn","first_name":"Maksym","orcid":"0000-0002-2399-5827","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","full_name":"Serbyn, Maksym"}],"date_created":"2023-01-16T10:01:56Z","date_updated":"2023-01-30T11:05:23Z","volume":3,"article_number":"030343","file_date_updated":"2023-01-30T11:02:50Z","ec_funded":1,"external_id":{"arxiv":["2204.02899"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"quality_controlled":"1","project":[{"grant_number":"850899","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","call_identifier":"H2020","name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control"}],"doi":"10.1103/prxquantum.3.030343","language":[{"iso":"eng"}],"month":"09","publication_identifier":{"eissn":["2691-3399"]},"_id":"12276","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ddc":["530"],"title":"Optimal steering of matrix product states and quantum many-body scars","status":"public","intvolume":" 3","oa_version":"Published Version","file":[{"content_type":"application/pdf","file_size":7661905,"creator":"dernst","file_name":"2022_PRXQuantum_Ljubotina.pdf","access_level":"open_access","date_created":"2023-01-30T11:02:50Z","date_updated":"2023-01-30T11:02:50Z","checksum":"ef8f0a1b5a019b3958009162de0fa4c3","success":1,"relation":"main_file","file_id":"12457"}],"type":"journal_article","abstract":[{"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.","lang":"eng"}],"issue":"3","publication":"PRX Quantum","citation":{"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","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.","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","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.","short":"M. Ljubotina, B. Roos, D.A. Abanin, M. Serbyn, PRX Quantum 3 (2022).","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.","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."},"article_type":"original","date_published":"2022-09-23T00:00:00Z","scopus_import":"1","keyword":["General Medicine"],"day":"23","has_accepted_license":"1","article_processing_charge":"No"}]