[{"citation":{"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.","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","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.","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.","short":"S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020)."},"publication":"Journal of Mathematical Physics","article_type":"original","date_published":"2020-06-22T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"22","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"8134","intvolume":" 61","title":"The free energy of the two-dimensional dilute Bose gas. II. Upper bound","status":"public","oa_version":"Preprint","type":"journal_article","issue":"6","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"}],"external_id":{"arxiv":["2002.08281"],"isi":["000544595100001"]},"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2002.08281"}],"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"isi":1,"quality_controlled":"1","doi":"10.1063/5.0005950","language":[{"iso":"eng"}],"publication_identifier":{"issn":["00222488"]},"month":"06","year":"2020","publisher":"AIP Publishing","department":[{"_id":"RoSe"}],"publication_status":"published","author":[{"last_name":"Mayer","first_name":"Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","full_name":"Mayer, Simon"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"volume":61,"date_created":"2020-07-19T22:00:59Z","date_updated":"2023-08-22T08:12:40Z","article_number":"061901","ec_funded":1},{"doi":"10.1103/physrevb.102.144109","language":[{"iso":"eng"}],"oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1912.07890","open_access":"1"}],"external_id":{"isi":["000582563300001"],"arxiv":["1912.07890"]},"project":[{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle","grant_number":"801770","_id":"2688CF98-B435-11E9-9278-68D0E5697425"}],"isi":1,"quality_controlled":"1","publication_identifier":{"issn":["2469-9950"],"eissn":["2469-9969"]},"month":"10","author":[{"full_name":"Yakaboylu, Enderalp","last_name":"Yakaboylu","first_name":"Enderalp","orcid":"0000-0001-5973-0874","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0001-9666-3543","id":"4AF46FD6-F248-11E8-B48F-1D18A9856A87","last_name":"Ghazaryan","first_name":"Areg","full_name":"Ghazaryan, Areg"},{"last_name":"Lundholm","first_name":"D.","full_name":"Lundholm, D."},{"first_name":"N.","last_name":"Rougerie","full_name":"Rougerie, N."},{"full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","first_name":"Mikhail"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"volume":102,"date_created":"2020-11-18T07:34:17Z","date_updated":"2023-09-05T12:12:30Z","year":"2020","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","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"publication_status":"published","ec_funded":1,"article_number":"144109","date_published":"2020-10-01T00:00:00Z","citation":{"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.","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","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.","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.","short":"E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).","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."},"publication":"Physical Review B","article_type":"original","article_processing_charge":"No","day":"01","scopus_import":"1","oa_version":"Preprint","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"8769","intvolume":" 102","status":"public","title":"Quantum impurity model for anyons","issue":"14","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."}],"type":"journal_article"},{"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"7650","status":"public","title":"Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature","ddc":["510"],"intvolume":" 236","oa_version":"Published Version","file":[{"file_name":"2020_ArchRatMechanicsAnalysis_Deuchert.pdf","access_level":"open_access","creator":"dernst","content_type":"application/pdf","file_size":704633,"file_id":"8785","relation":"main_file","date_updated":"2020-11-20T13:17:42Z","date_created":"2020-11-20T13:17:42Z","success":1,"checksum":"b645fb64bfe95bbc05b3eea374109a9c"}],"type":"journal_article","abstract":[{"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.","lang":"eng"}],"issue":"6","publication":"Archive for Rational Mechanics and Analysis","citation":{"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","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.","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.","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.","short":"A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.","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."},"article_type":"original","page":"1217-1271","date_published":"2020-03-09T00:00:00Z","scopus_import":"1","day":"09","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","year":"2020","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.","publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"author":[{"full_name":"Deuchert, Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","first_name":"Andreas","last_name":"Deuchert"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"date_updated":"2023-09-05T14:18:49Z","date_created":"2020-04-08T15:18:03Z","volume":236,"file_date_updated":"2020-11-20T13:17:42Z","ec_funded":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"},"oa":1,"external_id":{"arxiv":["1901.11363"],"isi":["000519415000001"]},"quality_controlled":"1","isi":1,"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"doi":"10.1007/s00205-020-01489-4","language":[{"iso":"eng"}],"month":"03","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]}},{"quality_controlled":"1","isi":1,"project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"external_id":{"arxiv":["1907.04547"],"isi":["000550164400001"]},"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/s00205-020-01548-w","month":"11","publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"year":"2020","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.","date_created":"2020-07-18T15:06:35Z","date_updated":"2023-09-05T14:19:06Z","volume":238,"author":[{"full_name":"Bossmann, Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","orcid":"0000-0002-6854-1343","first_name":"Lea","last_name":"Bossmann"}],"file_date_updated":"2020-12-02T08:50:38Z","ec_funded":1,"article_type":"original","page":"541-606","publication":"Archive for Rational Mechanics and Analysis","citation":{"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.","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.","short":"L. Bossmann, Archive for Rational Mechanics and Analysis 238 (2020) 541–606.","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.","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.","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"},"date_published":"2020-11-01T00:00:00Z","scopus_import":"1","day":"01","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","status":"public","title":"Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons","ddc":["510"],"intvolume":" 238","_id":"8130","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Published Version","file":[{"content_type":"application/pdf","file_size":942343,"creator":"dernst","file_name":"2020_ArchiveRatMech_Bossmann.pdf","access_level":"open_access","date_created":"2020-12-02T08:50:38Z","date_updated":"2020-12-02T08:50:38Z","checksum":"cc67a79a67bef441625fcb1cd031db3d","success":1,"relation":"main_file","file_id":"8826"}],"type":"journal_article","abstract":[{"lang":"eng","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."}],"issue":"11"},{"scopus_import":"1","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"01","page":"23-33","article_type":"original","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.","short":"E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.","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.","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","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.","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","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."},"publication":"Journal of Statistical Physics","date_published":"2020-09-01T00:00:00Z","type":"journal_article","abstract":[{"text":"We consider the Fröhlich model of a polaron, and show that its effective mass diverges in thestrong coupling limit.","lang":"eng"}],"intvolume":" 180","ddc":["510","530"],"status":"public","title":"Divergence of the effective mass of a polaron in the strong coupling limit","_id":"7235","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","file":[{"file_id":"8774","relation":"main_file","success":1,"checksum":"1e67bee6728592f7bdcea2ad2d9366dc","date_created":"2020-11-19T11:13:55Z","date_updated":"2020-11-19T11:13:55Z","access_level":"open_access","file_name":"2020_JourStatPhysics_Lieb.pdf","creator":"dernst","content_type":"application/pdf","file_size":279749}],"oa_version":"Published Version","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"month":"09","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"isi":1,"quality_controlled":"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"},"oa":1,"external_id":{"isi":["000556199700003"]},"language":[{"iso":"eng"}],"doi":"10.1007/s10955-019-02322-3","ec_funded":1,"file_date_updated":"2020-11-19T11:13:55Z","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","publication_status":"published","year":"2020","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.","volume":180,"date_created":"2020-01-07T09:42:03Z","date_updated":"2023-09-05T14:57:29Z","author":[{"full_name":"Lieb, Elliott H.","last_name":"Lieb","first_name":"Elliott H."},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}]},{"ec_funded":1,"file_date_updated":"2020-11-20T12:04:26Z","author":[{"full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher","first_name":"Simone Anna Elvira","orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425"}],"volume":110,"date_updated":"2023-09-05T15:14:50Z","date_created":"2020-03-23T11:11:47Z","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.","year":"2020","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","publication_status":"published","publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"month":"03","doi":"10.1007/s11005-020-01286-w","language":[{"iso":"eng"}],"external_id":{"isi":["000551556000006"]},"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,"project":[{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"isi":1,"quality_controlled":"1","abstract":[{"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.","lang":"eng"}],"type":"journal_article","oa_version":"Published Version","file":[{"file_id":"8784","relation":"main_file","success":1,"checksum":"3bdd41f10ad947b67a45b98f507a7d4a","date_updated":"2020-11-20T12:04:26Z","date_created":"2020-11-20T12:04:26Z","access_level":"open_access","file_name":"2020_LettersMathPhysics_Rademacher.pdf","creator":"dernst","content_type":"application/pdf","file_size":478683}],"_id":"7611","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","intvolume":" 110","status":"public","title":"Central limit theorem for Bose gases interacting through singular potentials","ddc":["510"],"has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"12","scopus_import":"1","date_published":"2020-03-12T00:00:00Z","citation":{"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.","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.","short":"S.A.E. Rademacher, Letters in Mathematical Physics 110 (2020) 2143–2174.","ista":"Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 110, 2143–2174.","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.","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"},"publication":"Letters in Mathematical Physics","page":"2143-2174","article_type":"original"},{"ec_funded":1,"file_date_updated":"2020-07-14T12:47:59Z","date_created":"2020-02-24T09:17:27Z","date_updated":"2023-09-07T13:12:42Z","related_material":{"record":[{"id":"7524","status":"public","relation":"part_of_dissertation"}]},"author":[{"id":"30C4630A-F248-11E8-B48F-1D18A9856A87","last_name":"Mayer","first_name":"Simon","full_name":"Mayer, Simon"}],"publisher":"Institute of Science and Technology Austria","department":[{"_id":"RoSe"},{"_id":"GradSch"}],"publication_status":"published","year":"2020","publication_identifier":{"issn":["2663-337X"]},"month":"02","language":[{"iso":"eng"}],"degree_awarded":"PhD","supervisor":[{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"doi":"10.15479/AT:ISTA:7514","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"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"},"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"}],"alternative_title":["ISTA Thesis"],"type":"dissertation","file":[{"file_id":"7515","relation":"main_file","date_updated":"2020-07-14T12:47:59Z","date_created":"2020-02-24T09:15:06Z","checksum":"b4de7579ddc1dbdd44ff3f17c48395f6","file_name":"thesis.pdf","access_level":"open_access","creator":"dernst","content_type":"application/pdf","file_size":1563429},{"file_name":"thesis_source.zip","access_level":"closed","creator":"dernst","file_size":2028038,"content_type":"application/x-zip-compressed","file_id":"7516","relation":"source_file","date_created":"2020-02-24T09:15:16Z","date_updated":"2020-07-14T12:47:59Z","checksum":"ad7425867b52d7d9e72296e87bc9cb67"}],"oa_version":"Published Version","ddc":["510"],"status":"public","title":"The free energy of a dilute two-dimensional Bose gas","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"7514","article_processing_charge":"No","has_accepted_license":"1","day":"24","date_published":"2020-02-24T00:00:00Z","page":"148","citation":{"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.","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.","short":"S. Mayer, The Free Energy of a Dilute Two-Dimensional Bose Gas, Institute of Science and Technology Austria, 2020.","ista":"Mayer S. 2020. The free energy of a dilute two-dimensional Bose gas. Institute of Science and Technology Austria.","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.","ama":"Mayer S. The free energy of a dilute two-dimensional Bose gas. 2020. doi:10.15479/AT:ISTA:7514"}},{"author":[{"full_name":"Li, Xiang","last_name":"Li","first_name":"Xiang","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Yakaboylu","first_name":"Enderalp","orcid":"0000-0001-5973-0874","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","full_name":"Yakaboylu, Enderalp"},{"last_name":"Bighin","first_name":"Giacomo","orcid":"0000-0001-8823-9777","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87","full_name":"Bighin, Giacomo"},{"first_name":"Richard","last_name":"Schmidt","full_name":"Schmidt, Richard"},{"full_name":"Lemeshko, Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802","first_name":"Mikhail","last_name":"Lemeshko"},{"first_name":"Andreas","last_name":"Deuchert","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas"}],"related_material":{"record":[{"id":"8958","relation":"dissertation_contains","status":"public"}]},"date_updated":"2023-09-07T13:16:42Z","date_created":"2020-09-30T10:33:17Z","volume":152,"year":"2020","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.","publication_status":"published","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"publisher":"AIP Publishing","ec_funded":1,"article_number":"164302","doi":"10.1063/1.5144759","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.02658"}],"external_id":{"arxiv":["1912.02658"],"isi":["000530448300001"]},"oa":1,"quality_controlled":"1","isi":1,"project":[{"call_identifier":"FWF","name":"Quantum rotations in the presence of a many-body environment","grant_number":"P29902","_id":"26031614-B435-11E9-9278-68D0E5697425"},{"name":"Angulon: physics and applications of a new quasiparticle","call_identifier":"H2020","_id":"2688CF98-B435-11E9-9278-68D0E5697425","grant_number":"801770"},{"_id":"26986C82-B435-11E9-9278-68D0E5697425","grant_number":"M02641","call_identifier":"FWF","name":"A path-integral approach to composite impurities"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"month":"04","publication_identifier":{"issn":["0021-9606"],"eissn":["1089-7690"]},"oa_version":"Preprint","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"8587","status":"public","title":"Intermolecular forces and correlations mediated by a phonon bath","intvolume":" 152","abstract":[{"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.","lang":"eng"}],"issue":"16","type":"journal_article","date_published":"2020-04-27T00:00:00Z","publication":"The Journal of Chemical Physics","citation":{"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.","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.","short":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, A. Deuchert, The Journal of Chemical Physics 152 (2020).","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.","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.","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"},"article_type":"original","day":"27","article_processing_charge":"No","keyword":["Physical and Theoretical Chemistry","General Physics and Astronomy"]},{"date_published":"2020-02-12T00:00:00Z","citation":{"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.","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","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","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.","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.","short":"D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020) 605–622."},"publication":"SIAM Journal on Mathematical Analysis","page":"605-622","article_type":"original","article_processing_charge":"No","has_accepted_license":"1","day":"12","scopus_import":"1","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"oa_version":"Preprint","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9781","intvolume":" 52","ddc":["510"],"title":"Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball","status":"public","issue":"1","abstract":[{"lang":"eng","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."}],"type":"journal_article","doi":"10.1137/19m126284x","language":[{"iso":"eng"}],"tmp":{"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","short":"CC BY-NC-ND (4.0)","image":"/images/cc_by_nc_nd.png"},"main_file_link":[{"url":"https://arxiv.org/abs/1904.08647","open_access":"1"}],"oa":1,"external_id":{"arxiv":["1904.08647 "],"isi":["000546967700022"]},"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"quality_controlled":"1","isi":1,"publication_identifier":{"eissn":["1095-7154"],"issn":["0036-1410"]},"month":"02","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"9733"}]},"author":[{"orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli","first_name":"Dario","full_name":"Feliciangeli, Dario"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"volume":52,"date_updated":"2023-09-07T13:30:11Z","date_created":"2021-08-06T07:34:16Z","year":"2020","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.","department":[{"_id":"RoSe"}],"publisher":"Society for Industrial & Applied Mathematics ","publication_status":"published","ec_funded":1,"license":"https://creativecommons.org/licenses/by-nc-nd/4.0/"},{"month":"12","publication_identifier":{"issn":["1424-0637"]},"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":{"arxiv":["2003.12371"],"isi":["000578111800002"]},"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"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385","name":"International IST Doctoral Program","call_identifier":"H2020"}],"doi":"10.1007/s00023-020-00969-3","language":[{"iso":"eng"}],"file_date_updated":"2020-10-27T12:49:04Z","ec_funded":1,"year":"2020","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)","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","author":[{"id":"316457FC-F248-11E8-B48F-1D18A9856A87","last_name":"Mysliwy","first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"11473"}]},"date_created":"2020-10-25T23:01:19Z","date_updated":"2023-09-07T13:43:51Z","volume":21,"scopus_import":"1","day":"01","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","publication":"Annales Henri Poincare","citation":{"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","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.","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","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.","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.","short":"K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 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."},"article_type":"original","page":"4003-4025","date_published":"2020-12-01T00:00:00Z","type":"journal_article","abstract":[{"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.","lang":"eng"}],"issue":"12","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"8705","title":"Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit","status":"public","ddc":["530"],"intvolume":" 21","file":[{"checksum":"c12c9c1e6f08def245e42f3cb1d83827","success":1,"date_updated":"2020-10-27T12:49:04Z","date_created":"2020-10-27T12:49:04Z","relation":"main_file","file_id":"8711","file_size":469831,"content_type":"application/pdf","creator":"cziletti","access_level":"open_access","file_name":"2020_Annales_Mysliwy.pdf"}],"oa_version":"Published Version"},{"publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"month":"01","doi":"10.2140/paa.2020.2.35","language":[{"iso":"eng"}],"oa":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1903.04046","open_access":"1"}],"external_id":{"arxiv":["1903.04046"]},"quality_controlled":"1","author":[{"full_name":"Lewin, Mathieu","last_name":"Lewin","first_name":"Mathieu"},{"full_name":"Lieb, Elliott H.","first_name":"Elliott H.","last_name":"Lieb"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"volume":2,"date_updated":"2024-01-29T09:01:12Z","date_created":"2024-01-28T23:01:44Z","year":"2020","department":[{"_id":"RoSe"}],"publisher":"Mathematical Sciences Publishers","publication_status":"published","article_processing_charge":"No","day":"01","scopus_import":"1","date_published":"2020-01-01T00:00:00Z","citation":{"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.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 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.","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","ista":"Lewin M, Lieb EH, Seiringer R. 2020. The local density approximation in density functional theory. Pure and Applied Analysis. 2(1), 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","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."},"publication":"Pure and Applied Analysis","page":"35-73","article_type":"original","issue":"1","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."}],"type":"journal_article","oa_version":"Preprint","_id":"14891","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 2","status":"public","title":" The local density approximation in density functional theory"},{"month":"06","publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"quality_controlled":"1","isi":1,"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"oa":1,"external_id":{"isi":["000536053300012"],"arxiv":["1812.03086"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1812.03086"}],"language":[{"iso":"eng"}],"doi":"10.1007/s00220-019-03555-9","ec_funded":1,"publication_status":"published","publisher":"Springer","department":[{"_id":"RoSe"}],"year":"2020","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”.","date_created":"2019-09-24T17:30:59Z","date_updated":"2024-02-22T13:33:02Z","volume":376,"author":[{"full_name":"Boccato, Chiara","first_name":"Chiara","last_name":"Boccato","id":"342E7E22-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Christian","last_name":"Brennecke","full_name":"Brennecke, Christian"},{"full_name":"Cenatiempo, Serena","last_name":"Cenatiempo","first_name":"Serena"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"}],"scopus_import":"1","day":"01","article_processing_charge":"No","article_type":"original","page":"1311-1395","publication":"Communications in Mathematical Physics","citation":{"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.","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.","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.","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","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.","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"},"date_published":"2020-06-01T00:00:00Z","type":"journal_article","abstract":[{"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.","lang":"eng"}],"title":"Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime","status":"public","intvolume":" 376","_id":"6906","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint"},{"status":"public","title":"Many-body quantum systems","publication_status":"published","publisher":"European Mathematical Society","department":[{"_id":"RoSe"}],"intvolume":" 16","_id":"15072","year":"2020","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2024-03-12T12:02:00Z","date_created":"2024-03-04T11:46:12Z","oa_version":"None","volume":16,"author":[{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"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"},{"full_name":"Warzel, Simone","last_name":"Warzel","first_name":"Simone"}],"type":"journal_article","abstract":[{"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.","lang":"eng"}],"issue":"3","article_type":"original","quality_controlled":"1","page":"2541-2603","publication":"Oberwolfach Reports","citation":{"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.","short":"C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 16 (2020) 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.","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","ista":"Hainzl C, Schlein B, Seiringer R, Warzel S. 2020. Many-body quantum systems. Oberwolfach Reports. 16(3), 2541–2603.","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","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."},"language":[{"iso":"eng"}],"doi":"10.4171/owr/2019/41","date_published":"2020-09-10T00:00:00Z","month":"09","day":"10","article_processing_charge":"No","publication_identifier":{"issn":["1660-8933"]}},{"month":"06","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":["000467796800007"]},"isi":1,"quality_controlled":"1","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"doi":"10.1007/s00220-018-3239-0","language":[{"iso":"eng"}],"file_date_updated":"2020-07-14T12:48:07Z","publist_id":"7974","ec_funded":1,"year":"2019","publication_status":"published","publisher":"Springer","department":[{"_id":"RoSe"}],"author":[{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","first_name":"Andreas","last_name":"Deuchert","full_name":"Deuchert, Andreas"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"date_updated":"2023-08-24T14:27:51Z","date_created":"2018-12-11T11:44:31Z","volume":368,"scopus_import":"1","day":"01","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","publication":"Communications in Mathematical Physics","citation":{"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.","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","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.","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","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.","short":"A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 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."},"article_type":"original","page":"723-776","date_published":"2019-06-01T00:00:00Z","type":"journal_article","abstract":[{"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.","lang":"eng"}],"issue":"2","_id":"80","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","ddc":["530"],"title":"Bose–Einstein condensation in a dilute, trapped gas at positive temperature","status":"public","intvolume":" 368","oa_version":"Published Version","file":[{"file_size":893902,"content_type":"application/pdf","creator":"dernst","access_level":"open_access","file_name":"2018_CommunMathPhys_Deuchert.pdf","checksum":"c7e9880b43ac726712c1365e9f2f73a6","date_created":"2018-12-17T10:34:06Z","date_updated":"2020-07-14T12:48:07Z","relation":"main_file","file_id":"5688"}]},{"author":[{"last_name":"Leopold","first_name":"Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K"},{"id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9166-5889","first_name":"Sören P","last_name":"Petrat","full_name":"Petrat, Sören P"}],"volume":20,"date_updated":"2023-08-29T07:09:06Z","date_created":"2019-08-11T21:59:21Z","year":"2019","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"publication_status":"published","ec_funded":1,"file_date_updated":"2020-07-14T12:47:40Z","doi":"10.1007/s00023-019-00828-w","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":["1807.06781"],"isi":["000487036900008"]},"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"quality_controlled":"1","isi":1,"publication_identifier":{"eissn":["1424-0661"],"issn":["1424-0637"]},"month":"10","file":[{"creator":"dernst","content_type":"application/pdf","file_size":681139,"file_name":"2019_AnnalesHenriPoincare_Leopold.pdf","access_level":"open_access","date_updated":"2020-07-14T12:47:40Z","date_created":"2019-08-12T12:05:58Z","checksum":"b6dbf0d837d809293d449adf77138904","file_id":"6801","relation":"main_file"}],"oa_version":"Published Version","_id":"6788","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","intvolume":" 20","ddc":["510"],"title":"Mean-field dynamics for the Nelson model with fermions","status":"public","issue":"10","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."}],"type":"journal_article","date_published":"2019-10-01T00:00:00Z","citation":{"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","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.","ista":"Leopold NK, Petrat SP. 2019. Mean-field dynamics for the Nelson model with fermions. Annales Henri Poincare. 20(10), 3471–3508.","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.","short":"N.K. Leopold, S.P. Petrat, Annales Henri Poincare 20 (2019) 3471–3508.","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."},"publication":"Annales Henri Poincare","page":"3471–3508","article_type":"original","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","day":"01","scopus_import":"1"},{"external_id":{"isi":["000471650100001"],"arxiv":["1810.02209"]},"oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1810.02209","open_access":"1"}],"quality_controlled":"1","isi":1,"project":[{"name":"International IST Doctoral Program","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385"}],"doi":"10.1088/1742-5468/ab190d","language":[{"iso":"eng"}],"month":"06","publication_identifier":{"eissn":["1742-5468"]},"year":"2019","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"IOP Publishing","author":[{"last_name":"Mysliwy","first_name":"Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof"},{"last_name":"Napiórkowski","first_name":"Marek","full_name":"Napiórkowski, Marek"}],"date_updated":"2023-08-29T07:19:13Z","date_created":"2019-09-01T22:00:59Z","volume":2019,"article_number":"063101","ec_funded":1,"publication":"Journal of Statistical Mechanics: Theory and Experiment","citation":{"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","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.","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.","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","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.","short":"K. Mysliwy, M. Napiórkowski, Journal of Statistical Mechanics: Theory and Experiment 2019 (2019).","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."},"date_published":"2019-06-13T00:00:00Z","scopus_import":"1","day":"13","article_processing_charge":"No","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"6840","title":"Thermodynamics of inhomogeneous imperfect quantum gases in harmonic traps","status":"public","intvolume":" 2019","oa_version":"Preprint","type":"journal_article","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."}],"issue":"6"},{"volume":372,"date_updated":"2023-09-06T10:47:43Z","date_created":"2019-11-25T08:08:02Z","author":[{"full_name":"Jeblick, Maximilian","first_name":"Maximilian","last_name":"Jeblick"},{"last_name":"Leopold","first_name":"Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K"},{"first_name":"Peter","last_name":"Pickl","full_name":"Pickl, Peter"}],"department":[{"_id":"RoSe"}],"publisher":"Springer Nature","publication_status":"published","year":"2019","acknowledgement":"OA fund by IST Austria","ec_funded":1,"file_date_updated":"2020-07-14T12:47:49Z","language":[{"iso":"eng"}],"doi":"10.1007/s00220-019-03599-x","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"quality_controlled":"1","isi":1,"external_id":{"isi":["000495193700002"]},"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,"publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"month":"11","file":[{"file_id":"7101","relation":"main_file","date_updated":"2020-07-14T12:47:49Z","date_created":"2019-11-25T08:11:11Z","checksum":"cd283b475dd739e04655315abd46f528","file_name":"2019_CommMathPhys_Jeblick.pdf","access_level":"open_access","creator":"dernst","file_size":884469,"content_type":"application/pdf"}],"oa_version":"Published Version","intvolume":" 372","title":"Derivation of the time dependent Gross–Pitaevskii equation in two dimensions","ddc":["510"],"status":"public","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"7100","issue":"1","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."}],"type":"journal_article","date_published":"2019-11-08T00:00:00Z","page":"1-69","article_type":"original","citation":{"short":"M. Jeblick, N.K. Leopold, P. Pickl, Communications in Mathematical Physics 372 (2019) 1–69.","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.","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.","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","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.","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","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."},"publication":"Communications in Mathematical Physics","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"08","scopus_import":"1"},{"page":"219-335","article_type":"original","citation":{"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","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","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.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2019. Bogoliubov theory in the Gross–Pitaevskii limit. Acta Mathematica. 222(2), 219–335.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Acta Mathematica 222 (2019) 219–335.","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.","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."},"publication":"Acta Mathematica","date_published":"2019-06-07T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"07","intvolume":" 222","title":"Bogoliubov theory in the Gross–Pitaevskii limit","status":"public","_id":"7413","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Preprint","type":"journal_article","issue":"2","abstract":[{"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.","lang":"eng"}],"quality_controlled":"1","isi":1,"oa":1,"external_id":{"isi":["000495865300001"],"arxiv":["1801.01389"]},"main_file_link":[{"url":"https://arxiv.org/abs/1801.01389","open_access":"1"}],"language":[{"iso":"eng"}],"doi":"10.4310/acta.2019.v222.n2.a1","publication_identifier":{"eissn":["1871-2509"],"issn":["0001-5962"]},"month":"06","department":[{"_id":"RoSe"}],"publisher":"International Press of Boston","publication_status":"published","year":"2019","volume":222,"date_updated":"2023-09-06T15:24:31Z","date_created":"2020-01-30T09:30:41Z","author":[{"full_name":"Boccato, Chiara","last_name":"Boccato","first_name":"Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Brennecke","first_name":"Christian","full_name":"Brennecke, Christian"},{"full_name":"Cenatiempo, Serena","first_name":"Serena","last_name":"Cenatiempo"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"}]},{"file":[{"file_id":"5894","relation":"main_file","date_created":"2019-01-28T15:27:17Z","date_updated":"2020-07-14T12:47:12Z","checksum":"255e42f957a8e2b10aad2499c750a8d6","file_name":"2019_Annales_Moser.pdf","access_level":"open_access","creator":"dernst","file_size":859846,"content_type":"application/pdf"}],"oa_version":"Published Version","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"5856","status":"public","ddc":["530"],"title":"Energy contribution of a point-interacting impurity in a Fermi gas","intvolume":" 20","abstract":[{"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.","lang":"eng"}],"issue":"4","type":"journal_article","date_published":"2019-04-01T00:00:00Z","publication":"Annales Henri Poincare","citation":{"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.","short":"T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.","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.","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","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.","ista":"Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 20(4), 1325–1365.","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"},"article_type":"original","page":"1325–1365","day":"01","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","scopus_import":"1","author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser","first_name":"Thomas","full_name":"Moser, Thomas"},{"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":"52"}]},"date_created":"2019-01-20T22:59:17Z","date_updated":"2023-09-07T12:37:42Z","volume":20,"year":"2019","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer","file_date_updated":"2020-07-14T12:47:12Z","ec_funded":1,"doi":"10.1007/s00023-018-00757-0","language":[{"iso":"eng"}],"external_id":{"arxiv":["1807.00739"],"isi":["000462444300008"]},"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,"isi":1,"quality_controlled":"1","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"month":"04","publication_identifier":{"issn":["14240637"]}},{"scopus_import":1,"article_processing_charge":"No","day":"08","month":"10","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"page":"61","citation":{"ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:191003372.","ista":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:1910.03372, .","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.","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.","mla":"Deuchert, Andreas, et al. “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.).","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."},"oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1910.03372","open_access":"1"}],"publication":"arXiv:1910.03372","language":[{"iso":"eng"}],"date_published":"2019-10-08T00:00:00Z","type":"preprint","ec_funded":1,"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 $\\beta \\rho \\gtrsim 1$."}],"publisher":"ArXiv","department":[{"_id":"RoSe"}],"status":"public","publication_status":"draft","title":"The free energy of the two-dimensional dilute Bose gas. I. 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Seiringer, “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018,” Journal of Mathematical Physics, vol. 60, no. 12. AIP Publishing, 2019.","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","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.","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","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.","short":"V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).","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."},"publication":"Journal of Mathematical Physics","has_accepted_license":"1","article_processing_charge":"No","day":"01","scopus_import":"1","oa_version":"Published Version","file":[{"content_type":"application/pdf","file_size":1025015,"creator":"dernst","file_name":"2019_JournalMathPhysics_Jaksic.pdf","access_level":"open_access","date_created":"2020-01-07T14:59:13Z","date_updated":"2020-07-14T12:47:54Z","checksum":"bbd12ad1999a9ad7ba4d3c6f2e579c22","relation":"main_file","file_id":"7244"}],"intvolume":" 60","ddc":["500"],"title":"Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018","status":"public","_id":"7226","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"12","type":"journal_article","language":[{"iso":"eng"}],"doi":"10.1063/1.5138135","isi":1,"quality_controlled":"1","external_id":{"isi":["000505529800002"]},"oa":1,"publication_identifier":{"issn":["00222488"]},"month":"12","volume":60,"date_updated":"2024-02-28T13:01:45Z","date_created":"2020-01-05T23:00:46Z","author":[{"last_name":"Jaksic","first_name":"Vojkan","full_name":"Jaksic, Vojkan"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert"}],"department":[{"_id":"RoSe"}],"publisher":"AIP Publishing","publication_status":"published","year":"2019","file_date_updated":"2020-07-14T12:47:54Z","article_number":"123504"},{"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","oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1905.09138","open_access":"1"}],"external_id":{"isi":["000477888200001"],"arxiv":["1905.09138"]},"language":[{"iso":"eng"}],"doi":"10.1103/physrevb.100.035127","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"month":"07","department":[{"_id":"RoSe"}],"publisher":"American Physical Society","publication_status":"published","year":"2019","volume":100,"date_created":"2019-11-13T08:41:48Z","date_updated":"2024-02-28T13:13:23Z","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","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"article_number":"035127","ec_funded":1,"article_type":"original","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.","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.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).","ista":"Lewin M, Lieb EH, Seiringer R. 2019. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 100(3), 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.","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"},"publication":"Physical Review B","date_published":"2019-07-25T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"25","intvolume":" 100","title":"Floating Wigner crystal with no boundary charge fluctuations","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"7015","oa_version":"Preprint","type":"journal_article","issue":"3","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."}]},{"language":[{"iso":"eng"}],"doi":"10.1007/978-3-030-01602-9_9","conference":{"end_date":"2017-04-01","start_date":"2017-03-30","location":"Munich, Germany","name":"MaLiQS: Macroscopic Limits of Quantum Systems"},"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"quality_controlled":"1","oa":1,"external_id":{"arxiv":["1806.10843"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1806.10843"}],"month":"10","volume":270,"date_updated":"2021-01-12T06:48:16Z","date_created":"2018-12-11T11:44:08Z","author":[{"full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold","first_name":"Nikolai K"},{"full_name":"Pickl, Peter","last_name":"Pickl","first_name":"Peter"}],"department":[{"_id":"RoSe"}],"publisher":"Springer","publication_status":"published","year":"2018","publist_id":"8045","ec_funded":1,"date_published":"2018-10-27T00:00:00Z","page":"185 - 214","citation":{"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","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.","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","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.","short":"N.K. Leopold, P. Pickl, in:, Springer, 2018, pp. 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.","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."},"day":"27","scopus_import":1,"oa_version":"Preprint","intvolume":" 270","status":"public","title":"Mean-field limits of particles in interaction with quantised radiation fields","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"11","abstract":[{"lang":"eng","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."}],"type":"conference"},{"oa_version":"Submitted Version","title":"The Bogoliubov free energy functional II: The dilute Limit","status":"public","intvolume":" 360","_id":"554","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","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.)."}],"issue":"1","type":"journal_article","date_published":"2018-05-01T00:00:00Z","page":"347-403","publication":"Communications in Mathematical Physics","citation":{"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","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.","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","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.","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, Communications in Mathematical Physics 360 (2018) 347–403.","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.","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."},"day":"01","scopus_import":1,"date_updated":"2021-01-12T08:02:35Z","date_created":"2018-12-11T11:47:09Z","volume":360,"author":[{"last_name":"Napiórkowski","first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","full_name":"Napiórkowski, Marcin M"},{"first_name":"Robin","last_name":"Reuvers","full_name":"Reuvers, Robin"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan"}],"publication_status":"published","publisher":"Springer","department":[{"_id":"RoSe"}],"year":"2018","publist_id":"7260","language":[{"iso":"eng"}],"doi":"10.1007/s00220-017-3064-x","quality_controlled":"1","project":[{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27"}],"oa":1,"external_id":{"arxiv":["1511.05953"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1511.05953"}],"month":"05","publication_identifier":{"issn":["00103616"]}},{"volume":121,"date_created":"2018-12-11T11:46:15Z","date_updated":"2023-09-08T13:30:51Z","author":[{"full_name":"Napiórkowski, Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","last_name":"Napiórkowski","first_name":"Marcin M"},{"last_name":"Reuvers","first_name":"Robin","full_name":"Reuvers, Robin"},{"full_name":"Solovej, Jan","first_name":"Jan","last_name":"Solovej"}],"department":[{"_id":"RoSe"}],"publisher":"IOP Publishing Ltd.","publication_status":"published","year":"2018","acknowledgement":"We thank Robert Seiringer and Daniel Ueltschi for bringing the issue of the change in critical temperature to our attention. We also thank the Erwin Schrödinger Institute (all authors) and the Department of Mathematics, University of Copenhagen (MN) for the hospitality during the period this work was carried out. 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).","publist_id":"7432","article_number":"10007","language":[{"iso":"eng"}],"doi":"10.1209/0295-5075/121/10007","project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27"}],"quality_controlled":"1","isi":1,"main_file_link":[{"url":"https://arxiv.org/abs/1706.01822","open_access":"1"}],"oa":1,"external_id":{"isi":["000460003000003"],"arxiv":["1706.01822"]},"month":"01","oa_version":"Preprint","intvolume":" 121","status":"public","title":"Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation","_id":"399","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","issue":"1","abstract":[{"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.","lang":"eng"}],"type":"journal_article","date_published":"2018-01-01T00:00:00Z","article_type":"original","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.","short":"M.M. Napiórkowski, R. Reuvers, J. Solovej, EPL 121 (2018).","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.","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.","apa":"Napiórkowski, M. M., Reuvers, R., & Solovej, J. (2018). Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation. EPL. IOP Publishing Ltd. 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.","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"},"publication":"EPL","article_processing_charge":"No","day":"01","scopus_import":"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":["000446491500008"],"arxiv":["1712.06218"]},"oa":1,"quality_controlled":"1","isi":1,"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"doi":"10.1007/s11005-018-1091-y","language":[{"iso":"eng"}],"month":"05","year":"2018","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.","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer","author":[{"full_name":"Lundholm, Douglas","first_name":"Douglas","last_name":"Lundholm"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"date_created":"2018-12-11T11:45:40Z","date_updated":"2023-09-11T14:01:57Z","volume":108,"file_date_updated":"2020-07-14T12:45:55Z","ec_funded":1,"publist_id":"7586","publication":"Letters in Mathematical Physics","citation":{"ama":"Lundholm D, Seiringer R. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 2018;108(11):2523-2541. doi:10.1007/s11005-018-1091-y","ista":"Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 108(11), 2523–2541.","ieee":"D. Lundholm and R. Seiringer, “Fermionic behavior of ideal anyons,” Letters in Mathematical Physics, vol. 108, no. 11. Springer, pp. 2523–2541, 2018.","apa":"Lundholm, D., & Seiringer, R. (2018). Fermionic behavior of ideal anyons. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-018-1091-y","mla":"Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics, vol. 108, no. 11, Springer, 2018, pp. 2523–41, doi:10.1007/s11005-018-1091-y.","short":"D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.","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."},"page":"2523-2541","date_published":"2018-05-11T00:00:00Z","scopus_import":"1","day":"11","article_processing_charge":"No","has_accepted_license":"1","_id":"295","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","ddc":["510"],"title":"Fermionic behavior of ideal anyons","status":"public","intvolume":" 108","oa_version":"Published Version","file":[{"access_level":"open_access","file_name":"2018_LettMathPhys_Lundholm.pdf","creator":"dernst","file_size":551996,"content_type":"application/pdf","file_id":"5698","relation":"main_file","checksum":"8beb9632fa41bbd19452f55f31286a31","date_created":"2018-12-17T12:14:17Z","date_updated":"2020-07-14T12:45:55Z"}],"type":"journal_article","abstract":[{"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.","lang":"eng"}],"issue":"11"},{"file_date_updated":"2020-07-14T12:46:22Z","publist_id":"7429","ec_funded":1,"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer","year":"2018","date_created":"2018-12-11T11:46:15Z","date_updated":"2023-09-15T12:04:15Z","volume":19,"author":[{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","first_name":"Andreas","last_name":"Deuchert","full_name":"Deuchert, Andreas"},{"first_name":"Alissa","last_name":"Geisinge","full_name":"Geisinge, Alissa"},{"full_name":"Hainzl, Christian","first_name":"Christian","last_name":"Hainzl"},{"last_name":"Loss","first_name":"Michael","full_name":"Loss, Michael"}],"month":"05","quality_controlled":"1","isi":1,"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"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":["000429799900008"]},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s00023-018-0665-7","type":"journal_article","abstract":[{"text":"We consider the two-dimensional BCS functional with a radial pair interaction. 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.","lang":"eng"}],"issue":"5","status":"public","title":"Persistence of translational symmetry in the BCS model with radial pair interaction","ddc":["510"],"intvolume":" 19","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"400","file":[{"date_created":"2018-12-12T10:12:47Z","date_updated":"2020-07-14T12:46:22Z","checksum":"04d2c9bd7cbf3ca1d7acaaf4e7dca3e5","relation":"main_file","file_id":"4966","file_size":582680,"content_type":"application/pdf","creator":"system","file_name":"IST-2018-1011-v1+1_2018_Deuchert_Persistence.pdf","access_level":"open_access"}],"oa_version":"Published Version","pubrep_id":"1011","scopus_import":"1","day":"01","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","page":"1507 - 1527","publication":"Annales Henri Poincare","citation":{"ama":"Deuchert A, Geisinge A, Hainzl C, Loss M. Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. 2018;19(5):1507-1527. doi:10.1007/s00023-018-0665-7","ista":"Deuchert A, Geisinge A, Hainzl C, Loss M. 2018. Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. 19(5), 1507–1527.","apa":"Deuchert, A., Geisinge, A., Hainzl, C., & Loss, M. (2018). Persistence of translational symmetry in the BCS model with radial pair interaction. Annales Henri Poincare. Springer. https://doi.org/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.","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.","short":"A. Deuchert, A. Geisinge, C. Hainzl, M. Loss, Annales Henri Poincare 19 (2018) 1507–1527.","chicago":"Deuchert, Andreas, Alissa Geisinge, Christian Hainzl, and Michael Loss. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” Annales Henri Poincare. Springer, 2018. https://doi.org/10.1007/s00023-018-0665-7."},"date_published":"2018-05-01T00:00:00Z"},{"type":"journal_article","issue":"3","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","ddc":["530"],"status":"public","title":"Stability of the 2+2 fermionic system with point interactions","_id":"154","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","file":[{"relation":"main_file","file_id":"5729","date_updated":"2020-07-14T12:45:01Z","date_created":"2018-12-17T16:49:02Z","checksum":"411c4db5700d7297c9cd8ebc5dd29091","file_name":"2018_MathPhysics_Moser.pdf","access_level":"open_access","file_size":496973,"content_type":"application/pdf","creator":"dernst"}],"oa_version":"Published Version","scopus_import":"1","has_accepted_license":"1","article_processing_charge":"No","day":"01","article_type":"original","citation":{"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.","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","ista":"Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.","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","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.","short":"T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).","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."},"publication":"Mathematical Physics Analysis and Geometry","date_published":"2018-09-01T00:00:00Z","article_number":"19","publist_id":"7767","ec_funded":1,"file_date_updated":"2020-07-14T12:45:01Z","publisher":"Springer","department":[{"_id":"RoSe"}],"publication_status":"published","acknowledgement":"Open access funding provided by Austrian Science Fund (FWF).","year":"2018","volume":21,"date_updated":"2023-09-19T09:31:15Z","date_created":"2018-12-11T11:44:55Z","related_material":{"record":[{"id":"52","relation":"dissertation_contains","status":"public"}]},"author":[{"first_name":"Thomas","last_name":"Moser","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","full_name":"Moser, Thomas"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"publication_identifier":{"issn":["13850172"],"eissn":["15729656"]},"month":"09","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"},{"call_identifier":"FWF","name":"FWF Open Access Fund","_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1"}],"isi":1,"quality_controlled":"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"},"oa":1,"external_id":{"isi":["000439639700001"]},"language":[{"iso":"eng"}],"doi":"10.1007/s11040-018-9275-3"},{"page":"1167 - 1214","publication":"Annales Henri Poincare","citation":{"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","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.","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","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.","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.","short":"N.P. Benedikter, J. Sok, J. Solovej, Annales Henri Poincare 19 (2018) 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."},"date_published":"2018-04-01T00:00:00Z","scopus_import":"1","day":"01","has_accepted_license":"1","article_processing_charge":"No","ddc":["510","539"],"title":"The Dirac–Frenkel principle for reduced density matrices and the Bogoliubov–de Gennes equations","status":"public","intvolume":" 19","_id":"455","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Published Version","file":[{"access_level":"open_access","file_name":"IST-2018-993-v1+1_2018_Benedikter_Dirac.pdf","creator":"system","file_size":923252,"content_type":"application/pdf","file_id":"4914","relation":"main_file","checksum":"883eeccba8384ad7fcaa28761d99a0fa","date_created":"2018-12-12T10:11:57Z","date_updated":"2020-07-14T12:46:31Z"}],"pubrep_id":"993","alternative_title":["Annales Henri Poincare"],"type":"journal_article","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"}],"issue":"4","isi":1,"quality_controlled":"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":["000427578900006"]},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s00023-018-0644-z","month":"04","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Birkhäuser","year":"2018","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.","date_updated":"2023-09-19T10:07:41Z","date_created":"2018-12-11T11:46:34Z","volume":19,"author":[{"first_name":"Niels P","last_name":"Benedikter","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091","full_name":"Benedikter, Niels P"},{"full_name":"Sok, Jérémy","first_name":"Jérémy","last_name":"Sok"},{"full_name":"Solovej, Jan","last_name":"Solovej","first_name":"Jan"}],"file_date_updated":"2020-07-14T12:46:31Z","publist_id":"7367"},{"month":"03","quality_controlled":"1","isi":1,"external_id":{"arxiv":["1606.07355"],"isi":["000422675800004"]},"main_file_link":[{"url":"https://arxiv.org/abs/1606.07355","open_access":"1"}],"oa":1,"language":[{"iso":"eng"}],"doi":"10.1002/cpa.21717","publist_id":"7377","publication_status":"published","publisher":"Wiley-Blackwell","department":[{"_id":"RoSe"}],"year":"2018","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","date_updated":"2023-09-19T10:09:40Z","date_created":"2018-12-11T11:46:31Z","volume":71,"author":[{"last_name":"Frank","first_name":"Rupert","full_name":"Frank, Rupert"},{"full_name":"Phan Thanh, Nam","last_name":"Phan Thanh","first_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Hanne","last_name":"Van Den Bosch","full_name":"Van Den Bosch, Hanne"}],"day":"01","article_processing_charge":"No","article_type":"original","page":"577 - 614","publication":"Communications on Pure and Applied Mathematics","citation":{"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.","short":"R. Frank, P. Nam, H. Van Den Bosch, Communications on Pure and Applied Mathematics 71 (2018) 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.","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","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.","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","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."},"date_published":"2018-03-01T00:00:00Z","type":"journal_article","abstract":[{"lang":"eng","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."}],"issue":"3","status":"public","title":"The ionization conjecture in Thomas–Fermi–Dirac–von Weizsäcker theory","intvolume":" 71","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"446","oa_version":"Preprint"},{"year":"2018","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"publisher":"American Physical Society","publication_status":"published","author":[{"last_name":"Yakaboylu","first_name":"Enderalp","orcid":"0000-0001-5973-0874","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","full_name":"Yakaboylu, Enderalp"},{"full_name":"Midya, Bikashkali","id":"456187FC-F248-11E8-B48F-1D18A9856A87","last_name":"Midya","first_name":"Bikashkali"},{"full_name":"Deuchert, Andreas","last_name":"Deuchert","first_name":"Andreas","orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Leopold, Nikolai K","first_name":"Nikolai K","last_name":"Leopold","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0495-6822"},{"full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","first_name":"Mikhail"}],"volume":98,"date_created":"2019-02-14T10:37:09Z","date_updated":"2023-09-19T14:29:03Z","article_number":"224506","ec_funded":1,"external_id":{"isi":["000452992700008"],"arxiv":["1809.01204"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1809.01204"}],"oa":1,"project":[{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme"},{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"quality_controlled":"1","isi":1,"doi":"10.1103/physrevb.98.224506","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"month":"12","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"5983","intvolume":" 98","title":"Theory of the rotating polaron: Spectrum and self-localization","status":"public","oa_version":"Preprint","type":"journal_article","issue":"22","abstract":[{"lang":"eng","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."}],"citation":{"short":"E. Yakaboylu, B. Midya, A. Deuchert, N.K. Leopold, M. Lemeshko, Physical Review B 98 (2018).","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.","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.","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","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","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.","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."},"publication":"Physical Review B","date_published":"2018-12-12T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"12"},{"year":"2018","publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"author":[{"full_name":"Napiórkowski, Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M","last_name":"Napiórkowski"},{"first_name":"Robin","last_name":"Reuvers","full_name":"Reuvers, Robin"},{"full_name":"Solovej, Jan Philip","first_name":"Jan Philip","last_name":"Solovej"}],"date_created":"2019-02-14T13:40:53Z","date_updated":"2023-09-19T14:33:12Z","volume":229,"month":"09","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"main_file_link":[{"url":"https://arxiv.org/abs/1511.05935","open_access":"1"}],"external_id":{"isi":["000435367300003"],"arxiv":["1511.05935"]},"oa":1,"isi":1,"quality_controlled":"1","project":[{"_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"}],"doi":"10.1007/s00205-018-1232-6","language":[{"iso":"eng"}],"type":"journal_article","abstract":[{"lang":"eng","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."}],"issue":"3","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"6002","title":"The Bogoliubov free energy functional I: Existence of minimizers and phase diagram","status":"public","intvolume":" 229","oa_version":"Preprint","scopus_import":"1","day":"01","article_processing_charge":"No","publication":"Archive for Rational Mechanics and Analysis","citation":{"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","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.","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.","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.","short":"M.M. Napiórkowski, R. Reuvers, J.P. Solovej, Archive for Rational Mechanics and Analysis 229 (2018) 1037–1090.","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."},"page":"1037-1090","date_published":"2018-09-01T00:00:00Z"},{"oa":1,"project":[{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"}],"doi":"10.15479/AT:ISTA:th_1043","degree_awarded":"PhD","supervisor":[{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"language":[{"iso":"eng"}],"month":"09","publication_identifier":{"issn":["2663-337X"]},"year":"2018","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Institute of Science and Technology Austria","author":[{"last_name":"Moser","first_name":"Thomas","id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","full_name":"Moser, Thomas"}],"related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"5856"},{"relation":"part_of_dissertation","status":"public","id":"154"},{"status":"public","relation":"part_of_dissertation","id":"1198"},{"status":"public","relation":"part_of_dissertation","id":"741"}]},"date_created":"2018-12-11T11:44:22Z","date_updated":"2023-09-27T12:34:14Z","file_date_updated":"2020-07-14T12:46:37Z","publist_id":"8002","citation":{"short":"T. Moser, Point Interactions in Systems of Fermions, Institute of Science and Technology Austria, 2018.","mla":"Moser, Thomas. Point Interactions in Systems of Fermions. Institute of Science and Technology Austria, 2018, doi:10.15479/AT:ISTA:th_1043.","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.","ama":"Moser T. Point interactions in systems of fermions. 2018. doi:10.15479/AT:ISTA:th_1043","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","ista":"Moser T. 2018. Point interactions in systems of fermions. Institute of Science and Technology Austria."},"page":"115","date_published":"2018-09-04T00:00:00Z","day":"04","has_accepted_license":"1","article_processing_charge":"No","_id":"52","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","ddc":["515","530","519"],"title":"Point interactions in systems of fermions","status":"public","pubrep_id":"1043","file":[{"checksum":"fbd8c747d148b468a21213b7cf175225","date_created":"2019-04-09T07:45:38Z","date_updated":"2020-07-14T12:46:37Z","file_id":"6256","relation":"main_file","creator":"dernst","content_type":"application/pdf","file_size":851164,"access_level":"open_access","file_name":"2018_Thesis_Moser.pdf"},{"date_updated":"2020-07-14T12:46:37Z","date_created":"2019-04-09T07:45:38Z","checksum":"c28e16ecfc1126d3ce324ec96493c01e","file_id":"6257","relation":"source_file","creator":"dernst","file_size":1531516,"content_type":"application/zip","file_name":"2018_Thesis_Moser_Source.zip","access_level":"closed"}],"oa_version":"Published Version","type":"dissertation","alternative_title":["ISTA Thesis"],"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"}]},{"publication":"Journal de l'Ecole Polytechnique - Mathematiques","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","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.","ista":"Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 79–116.","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","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.","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."},"article_type":"original","page":"79 - 116","date_published":"2018-07-01T00:00:00Z","scopus_import":"1","day":"01","article_processing_charge":"No","has_accepted_license":"1","_id":"180","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","title":"Statistical mechanics of the uniform electron gas","ddc":["510"],"intvolume":" 5","oa_version":"Published Version","file":[{"file_id":"5726","relation":"main_file","date_updated":"2020-07-14T12:45:16Z","date_created":"2018-12-17T16:38:18Z","checksum":"1ba7cccdf3900f42c4f715ae75d6813c","file_name":"2018_JournaldeLecoleMath_Lewi.pdf","access_level":"open_access","creator":"dernst","content_type":"application/pdf","file_size":843938}],"type":"journal_article","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":1,"tmp":{"short":"CC BY-ND (4.0)","image":"/image/cc_by_nd.png","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode"},"external_id":{"arxiv":["1705.10676"]},"quality_controlled":"1","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"doi":"10.5802/jep.64","language":[{"iso":"eng"}],"month":"07","publication_identifier":{"issn":["2429-7100"],"eissn":["2270-518X"]},"year":"2018","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.","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Ecole Polytechnique","author":[{"last_name":"Lewi","first_name":"Mathieu","full_name":"Lewi, Mathieu"},{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"date_updated":"2023-10-17T08:05:28Z","date_created":"2018-12-11T11:45:03Z","volume":5,"file_date_updated":"2020-07-14T12:45:16Z","publist_id":"7741","ec_funded":1,"license":"https://creativecommons.org/licenses/by-nd/4.0/"},{"oa_version":"Submitted Version","_id":"484","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","intvolume":" 21","status":"public","title":"Bogoliubov correction to the mean-field dynamics of interacting bosons","issue":"3","abstract":[{"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.","lang":"eng"}],"type":"journal_article","date_published":"2017-01-01T00:00:00Z","citation":{"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","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.","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","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.","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.","short":"P. Nam, M.M. Napiórkowski, Advances in Theoretical and Mathematical Physics 21 (2017) 683–738.","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."},"publication":"Advances in Theoretical and Mathematical Physics","page":"683 - 738","day":"01","scopus_import":1,"author":[{"first_name":"Phan","last_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87","full_name":"Nam, Phan"},{"id":"4197AD04-F248-11E8-B48F-1D18A9856A87","last_name":"Napiórkowski","first_name":"Marcin M","full_name":"Napiórkowski, Marcin M"}],"volume":21,"date_created":"2018-12-11T11:46:43Z","date_updated":"2021-01-12T08:00:58Z","year":"2017","department":[{"_id":"RoSe"}],"publisher":"International Press","publication_status":"published","ec_funded":1,"publist_id":"7336","doi":"10.4310/ATMP.2017.v21.n3.a4","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1509.04631"}],"oa":1,"project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"},{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"quality_controlled":"1","publication_identifier":{"issn":["10950761"]},"month":"01"},{"ec_funded":1,"publist_id":"7160","year":"2017","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"American Mathematical Society","author":[{"full_name":"Lewin, Mathieu","last_name":"Lewin","first_name":"Mathieu"},{"id":"404092F4-F248-11E8-B48F-1D18A9856A87","last_name":"Nam","first_name":"Phan","full_name":"Nam, Phan"},{"full_name":"Rougerie, Nicolas","first_name":"Nicolas","last_name":"Rougerie"}],"date_created":"2018-12-11T11:47:36Z","date_updated":"2021-01-12T08:07:03Z","volume":145,"month":"01","oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1509.09045","open_access":"1"}],"quality_controlled":"1","project":[{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme"}],"doi":"10.1090/proc/13468","language":[{"iso":"eng"}],"type":"journal_article","abstract":[{"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. ","lang":"eng"}],"issue":"6","_id":"632","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","title":"A note on 2D focusing many boson systems","status":"public","intvolume":" 145","oa_version":"Submitted Version","scopus_import":1,"day":"01","publication":"Proceedings of the American Mathematical Society","citation":{"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.","short":"M. Lewin, P. Nam, N. Rougerie, Proceedings of the American Mathematical Society 145 (2017) 2441–2454.","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.","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","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.","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"},"page":"2441 - 2454","date_published":"2017-01-01T00:00:00Z"},{"page":" 533 - 552","publication":"Letters in Mathematical Physics","citation":{"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","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.","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.","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","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.","short":"T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 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."},"date_published":"2017-03-01T00:00:00Z","scopus_import":"1","day":"01","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","title":"Triviality of a model of particles with point interactions in the thermodynamic limit","ddc":["510","539"],"status":"public","intvolume":" 107","_id":"1198","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","file":[{"file_name":"IST-2016-723-v1+1_s11005-016-0915-x.pdf","access_level":"open_access","creator":"system","file_size":587207,"content_type":"application/pdf","file_id":"5296","relation":"main_file","date_created":"2018-12-12T10:17:40Z","date_updated":"2020-07-14T12:44:38Z","checksum":"c0c835def162c1bc52f978fad26e3c2f"}],"oa_version":"Published Version","pubrep_id":"723","type":"journal_article","abstract":[{"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.","lang":"eng"}],"issue":"3","quality_controlled":"1","isi":1,"project":[{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"external_id":{"isi":["000394280200007"]},"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/s11005-016-0915-x","month":"03","publication_identifier":{"issn":["03779017"]},"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer","year":"2017","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","date_created":"2018-12-11T11:50:40Z","date_updated":"2023-09-20T11:18:13Z","volume":107,"author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","last_name":"Moser","first_name":"Thomas","full_name":"Moser, Thomas"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"52"}]},"file_date_updated":"2020-07-14T12:44:38Z","publist_id":"6152"},{"month":"03","publication_identifier":{"issn":["24699926"]},"language":[{"iso":"eng"}],"doi":"10.1103/PhysRevA.95.033608","isi":1,"quality_controlled":"1","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"grant_number":"P29902","_id":"26031614-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Quantum rotations in the presence of a many-body environment"}],"main_file_link":[{"url":"https://arxiv.org/abs/1610.04908","open_access":"1"}],"oa":1,"external_id":{"isi":["000395981900009"]},"publist_id":"6242","ec_funded":1,"article_number":"033608","date_created":"2018-12-11T11:50:15Z","date_updated":"2023-09-20T11:30:58Z","volume":95,"author":[{"id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","last_name":"Li","first_name":"Xiang","full_name":"Li, Xiang"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"},{"full_name":"Lemeshko, Mikhail","last_name":"Lemeshko","first_name":"Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"8958"}]},"publication_status":"published","publisher":"American Physical Society","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"year":"2017","day":"06","article_processing_charge":"No","scopus_import":"1","date_published":"2017-03-06T00:00:00Z","publication":"Physical Review A","citation":{"short":"X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).","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.","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.","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","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","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.","ista":"Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 95(3), 033608."},"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"}],"issue":"3","type":"journal_article","oa_version":"Published Version","title":"Angular self-localization of impurities rotating in a bosonic bath","status":"public","intvolume":" 95","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"1120"},{"status":"public","title":"Nonexistence in Thomas Fermi-Dirac-von Weizsäcker theory with small nuclear charges","intvolume":" 20","_id":"1079","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Submitted Version","type":"journal_article","abstract":[{"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.","lang":"eng"}],"issue":"2","publication":"Mathematical Physics, Analysis and Geometry","citation":{"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.","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).","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.","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.","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","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"},"date_published":"2017-06-01T00:00:00Z","scopus_import":"1","day":"01","article_processing_charge":"No","publication_status":"published","publisher":"Springer","department":[{"_id":"RoSe"}],"year":"2017","date_updated":"2023-09-20T11:53:35Z","date_created":"2018-12-11T11:50:02Z","volume":20,"author":[{"last_name":"Nam","first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","full_name":"Nam, Phan"},{"first_name":"Hanne","last_name":"Van Den Bosch","full_name":"Van Den Bosch, Hanne"}],"article_number":"6","publist_id":"6300","isi":1,"quality_controlled":"1","project":[{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"oa":1,"external_id":{"isi":["000401270000004"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1603.07368"}],"language":[{"iso":"eng"}],"doi":"10.1007/s11040-017-9238-0","month":"06","publication_identifier":{"issn":["13850172"]}},{"intvolume":" 356","title":"Stability of a fermionic N+1 particle system with point interactions","status":"public","ddc":["539"],"_id":"741","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","file":[{"checksum":"0fd9435400f91e9b3c5346319a2d24e3","date_created":"2018-12-12T10:10:50Z","date_updated":"2020-07-14T12:47:57Z","file_id":"4841","relation":"main_file","creator":"system","content_type":"application/pdf","file_size":952639,"access_level":"open_access","file_name":"IST-2017-880-v1+1_s00220-017-2980-0.pdf"}],"oa_version":"Published Version","pubrep_id":"880","type":"journal_article","issue":"1","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"}],"page":"329 - 355","citation":{"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.","short":"T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 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.","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","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.","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","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."},"publication":"Communications in Mathematical Physics","date_published":"2017-11-01T00:00:00Z","scopus_import":"1","article_processing_charge":"No","has_accepted_license":"1","day":"01","publisher":"Springer","department":[{"_id":"RoSe"}],"publication_status":"published","year":"2017","volume":356,"date_updated":"2023-09-27T12:34:15Z","date_created":"2018-12-11T11:48:15Z","related_material":{"record":[{"id":"52","status":"public","relation":"dissertation_contains"}]},"author":[{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","last_name":"Moser","full_name":"Moser, Thomas"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"ec_funded":1,"publist_id":"6926","file_date_updated":"2020-07-14T12:47:57Z","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"isi":1,"quality_controlled":"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":["000409821300010"]},"language":[{"iso":"eng"}],"doi":"10.1007/s00220-017-2980-0","publication_identifier":{"issn":["00103616"]},"month":"11"},{"status":"public","title":"A note on the validity of Bogoliubov correction to mean field dynamics","intvolume":" 108","_id":"739","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Submitted Version","type":"journal_article","abstract":[{"lang":"eng","text":"We study the norm approximation to the Schrödinger dynamics of N bosons in with an interaction potential of the form . Assuming that in the initial state the particles outside of the condensate form a quasi-free state with finite kinetic energy, we show that in the large N limit, the fluctuations around the condensate can be effectively described using Bogoliubov approximation for all . The range of β is expected to be optimal for this large class of initial states."}],"issue":"5","page":"662 - 688","publication":"Journal de Mathématiques Pures et Appliquées","citation":{"short":"P. Nam, M.M. Napiórkowski, Journal de Mathématiques Pures et Appliquées 108 (2017) 662–688.","mla":"Nam, Phan, and Marcin M. Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées, vol. 108, no. 5, Elsevier, 2017, pp. 662–88, doi:10.1016/j.matpur.2017.05.013.","chicago":"Nam, Phan, and Marcin M Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées. Elsevier, 2017. https://doi.org/10.1016/j.matpur.2017.05.013.","ama":"Nam P, Napiórkowski MM. A note on the validity of Bogoliubov correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées. 2017;108(5):662-688. doi:10.1016/j.matpur.2017.05.013","ieee":"P. Nam and M. M. Napiórkowski, “A note on the validity of Bogoliubov correction to mean field dynamics,” Journal de Mathématiques Pures et Appliquées, vol. 108, no. 5. Elsevier, pp. 662–688, 2017.","apa":"Nam, P., & Napiórkowski, M. M. (2017). A note on the validity of Bogoliubov correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées. Elsevier. https://doi.org/10.1016/j.matpur.2017.05.013","ista":"Nam P, Napiórkowski MM. 2017. A note on the validity of Bogoliubov correction to mean field dynamics. Journal de Mathématiques Pures et Appliquées. 108(5), 662–688."},"date_published":"2017-11-01T00:00:00Z","scopus_import":"1","day":"01","article_processing_charge":"No","publication_status":"published","publisher":"Elsevier","department":[{"_id":"RoSe"}],"year":"2017","date_created":"2018-12-11T11:48:15Z","date_updated":"2023-09-27T12:52:07Z","volume":108,"author":[{"first_name":"Phan","last_name":"Nam","id":"404092F4-F248-11E8-B48F-1D18A9856A87","full_name":"Nam, Phan"},{"last_name":"Napiórkowski","first_name":"Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","full_name":"Napiórkowski, Marcin M"}],"publist_id":"6928","isi":1,"quality_controlled":"1","project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"oa":1,"external_id":{"isi":["000414113600003"]},"main_file_link":[{"url":"https://arxiv.org/abs/1604.05240","open_access":"1"}],"language":[{"iso":"eng"}],"doi":"10.1016/j.matpur.2017.05.013","month":"11","publication_identifier":{"issn":["00217824"]}},{"doi":"10.1103/PhysRevLett.119.235301","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1705.05162"}],"external_id":{"arxiv":["1705.05162"],"isi":["000417132100007"]},"oa":1,"quality_controlled":"1","isi":1,"project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"},{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"name":"Quantum rotations in the presence of a many-body environment","call_identifier":"FWF","_id":"26031614-B435-11E9-9278-68D0E5697425","grant_number":"P29902"}],"month":"12","publication_identifier":{"issn":["0031-9007"]},"author":[{"orcid":"0000-0001-5973-0874","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu","first_name":"Enderalp","full_name":"Yakaboylu, Enderalp"},{"full_name":"Deuchert, Andreas","orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","last_name":"Deuchert","first_name":"Andreas"},{"last_name":"Lemeshko","first_name":"Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","full_name":"Lemeshko, Mikhail"}],"date_updated":"2023-10-10T13:31:54Z","date_created":"2018-12-11T11:49:36Z","volume":119,"year":"2017","publication_status":"published","publisher":"American Physical Society","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"publist_id":"6401","ec_funded":1,"article_number":"235301","date_published":"2017-12-06T00:00:00Z","publication":"Physical Review Letters","citation":{"ama":"Yakaboylu E, Deuchert A, Lemeshko M. Emergence of non-abelian magnetic monopoles in a quantum impurity problem. Physical Review Letters. 2017;119(23). doi:10.1103/PhysRevLett.119.235301","ista":"Yakaboylu E, Deuchert A, Lemeshko M. 2017. Emergence of non-abelian magnetic monopoles in a quantum impurity problem. Physical Review Letters. 119(23), 235301.","apa":"Yakaboylu, E., Deuchert, A., & Lemeshko, M. (2017). Emergence of non-abelian magnetic monopoles in a quantum impurity problem. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.119.235301","ieee":"E. Yakaboylu, A. Deuchert, and M. Lemeshko, “Emergence of non-abelian magnetic monopoles in a quantum impurity problem,” Physical Review Letters, vol. 119, no. 23. American Physical Society, 2017.","mla":"Yakaboylu, Enderalp, et al. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” Physical Review Letters, vol. 119, no. 23, 235301, American Physical Society, 2017, doi:10.1103/PhysRevLett.119.235301.","short":"E. Yakaboylu, A. Deuchert, M. Lemeshko, Physical Review Letters 119 (2017).","chicago":"Yakaboylu, Enderalp, Andreas Deuchert, and Mikhail Lemeshko. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” Physical Review Letters. American Physical Society, 2017. https://doi.org/10.1103/PhysRevLett.119.235301."},"article_type":"original","day":"06","article_processing_charge":"No","scopus_import":"1","oa_version":"Preprint","_id":"997","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Emergence of non-abelian magnetic monopoles in a quantum impurity problem","status":"public","intvolume":" 119","abstract":[{"text":"Recently it was shown that molecules rotating in superfluid helium can be described in terms of the angulon quasiparticles (Phys. Rev. Lett. 118, 095301 (2017)). Here we demonstrate that in the experimentally realized regime the angulon can be seen as a point charge on a 2-sphere interacting with a gauge field of a non-abelian magnetic monopole. Unlike in several other settings, the gauge fields of the angulon problem emerge in the real coordinate space, as opposed to the momentum space or some effective parameter space. Furthermore, we find a topological transition associated with making the monopole abelian, which takes place in the vicinity of the previously reported angulon instabilities. These results pave the way for studying topological phenomena in experiments on molecules trapped in superfluid helium nanodroplets, as well as on other realizations of orbital impurity problems.","lang":"eng"}],"issue":"23","type":"journal_article"},{"publist_id":"6531","ec_funded":1,"article_number":"081901","author":[{"full_name":"Deuchert, Andreas","last_name":"Deuchert","first_name":"Andreas","orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"}],"date_updated":"2024-02-28T13:07:56Z","date_created":"2018-12-11T11:49:10Z","volume":58,"year":"2017","publication_status":"published","publisher":"AIP Publishing","department":[{"_id":"RoSe"}],"month":"08","publication_identifier":{"issn":["00222488"]},"doi":"10.1063/1.4996580","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1703.04616"}],"oa":1,"external_id":{"isi":["000409197200015"]},"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"}],"abstract":[{"text":"We consider a many-body system of fermionic atoms interacting via a local pair potential and subject to an external potential within the framework of Bardeen-Cooper-Schrieffer (BCS) theory. We measure the free energy of the whole sample with respect to the free energy of a reference state which allows us to define a BCS functional with boundary conditions at infinity. Our main result is a lower bound for this energy functional in terms of expressions that typically appear in Ginzburg-Landau functionals.\r\n","lang":"eng"}],"issue":"8","type":"journal_article","oa_version":"Submitted Version","_id":"912","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","title":"A lower bound for the BCS functional with boundary conditions at infinity","intvolume":" 58","day":"01","article_processing_charge":"No","scopus_import":"1","date_published":"2017-08-01T00:00:00Z","publication":" Journal of Mathematical Physics","citation":{"chicago":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics. AIP Publishing, 2017. https://doi.org/10.1063/1.4996580.","short":"A. Deuchert, Journal of Mathematical Physics 58 (2017).","mla":"Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics, vol. 58, no. 8, 081901, AIP Publishing, 2017, doi:10.1063/1.4996580.","ieee":"A. Deuchert, “A lower bound for the BCS functional with boundary conditions at infinity,” Journal of Mathematical Physics, vol. 58, no. 8. AIP Publishing, 2017.","apa":"Deuchert, A. (2017). A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/1.4996580","ista":"Deuchert A. 2017. A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. 58(8), 081901.","ama":"Deuchert A. A lower bound for the BCS functional with boundary conditions at infinity. Journal of Mathematical Physics. 2017;58(8). doi:10.1063/1.4996580"}},{"doi":"10.2140/apde.2016.9.459","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1503.07061"}],"oa":1,"project":[{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"}],"quality_controlled":"1","month":"03","author":[{"last_name":"Nam","first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","full_name":"Nam, Phan"},{"first_name":"Nicolas","last_name":"Rougerie","full_name":"Rougerie, Nicolas"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"volume":9,"date_created":"2018-12-11T11:50:23Z","date_updated":"2021-01-12T06:48:36Z","year":"2016","department":[{"_id":"RoSe"}],"publisher":"Mathematical Sciences Publishers","publication_status":"published","publist_id":"6215","ec_funded":1,"date_published":"2016-03-24T00:00:00Z","citation":{"short":"P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.","mla":"Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE, vol. 9, no. 2, Mathematical Sciences Publishers, 2016, pp. 459–85, doi:10.2140/apde.2016.9.459.","chicago":"Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE. Mathematical Sciences Publishers, 2016. https://doi.org/10.2140/apde.2016.9.459.","ama":"Nam P, Rougerie N, Seiringer R. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 2016;9(2):459-485. doi:10.2140/apde.2016.9.459","apa":"Nam, P., Rougerie, N., & Seiringer, R. (2016). Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. Mathematical Sciences Publishers. https://doi.org/10.2140/apde.2016.9.459","ieee":"P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems: The gross Pitaevskii limit revisited,” Analysis and PDE, vol. 9, no. 2. Mathematical Sciences Publishers, pp. 459–485, 2016.","ista":"Nam P, Rougerie N, Seiringer R. 2016. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 9(2), 459–485."},"publication":"Analysis and PDE","page":"459 - 485","day":"24","scopus_import":1,"oa_version":"Preprint","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"1143","intvolume":" 9","title":"Ground states of large bosonic systems: The gross Pitaevskii limit revisited","status":"public","issue":"2","abstract":[{"lang":"eng","text":"We study the ground state of a dilute Bose gas in a scaling limit where the Gross-Pitaevskii functional emerges. This is a repulsive nonlinear Schrödinger functional whose quartic term is proportional to the scattering length of the interparticle interaction potential. We propose a new derivation of this limit problem, with a method that bypasses some of the technical difficulties that previous derivations had to face. The new method is based on a combination of Dyson\\'s lemma, the quantum de Finetti theorem and a second moment estimate for ground states of the effective Dyson Hamiltonian. It applies equally well to the case where magnetic fields or rotation are present."}],"type":"journal_article"},{"type":"journal_article","abstract":[{"text":"We consider the Bogolubov–Hartree–Fock functional for a fermionic many-body system with two-body interactions. For suitable interaction potentials that have a strong enough attractive tail in order to allow for two-body bound states, but are otherwise sufficiently repulsive to guarantee stability of the system, we show that in the low-density limit the ground state of this model consists of a Bose–Einstein condensate of fermion pairs. The latter can be described by means of the Gross–Pitaevskii energy functional.","lang":"eng"}],"issue":"2","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"1259","ddc":["510","539"],"status":"public","title":"Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit","intvolume":" 19","pubrep_id":"702","oa_version":"Published Version","file":[{"file_id":"4736","relation":"main_file","date_created":"2018-12-12T10:09:13Z","date_updated":"2020-07-14T12:44:42Z","checksum":"9954f685cc25c58d7f1712c67b47ad8d","file_name":"IST-2016-702-v1+1_s11040-016-9209-x.pdf","access_level":"open_access","creator":"system","file_size":506242,"content_type":"application/pdf"}],"scopus_import":1,"day":"01","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","publication":"Mathematical Physics, Analysis and Geometry","citation":{"ieee":"G. Bräunlich, C. Hainzl, and R. Seiringer, “Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit,” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2. Springer, 2016.","apa":"Bräunlich, G., Hainzl, C., & Seiringer, R. (2016). Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. Springer. https://doi.org/10.1007/s11040-016-9209-x","ista":"Bräunlich G, Hainzl C, Seiringer R. 2016. Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. 19(2), 13.","ama":"Bräunlich G, Hainzl C, Seiringer R. Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. 2016;19(2). doi:10.1007/s11040-016-9209-x","chicago":"Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry. Springer, 2016. https://doi.org/10.1007/s11040-016-9209-x.","short":"G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).","mla":"Bräunlich, Gerhard, et al. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2, 13, Springer, 2016, doi:10.1007/s11040-016-9209-x."},"date_published":"2016-06-01T00:00:00Z","article_number":"13","file_date_updated":"2020-07-14T12:44:42Z","publist_id":"6066","acknowledgement":"Partial financial support from the DFG grant GRK 1838, as well as the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R.S.), is gratefully acknowledged.","year":"2016","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer","author":[{"first_name":"Gerhard","last_name":"Bräunlich","full_name":"Bräunlich, Gerhard"},{"full_name":"Hainzl, Christian","first_name":"Christian","last_name":"Hainzl"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"date_updated":"2021-01-12T06:49:27Z","date_created":"2018-12-11T11:50:59Z","volume":19,"month":"06","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"},"quality_controlled":"1","project":[{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"doi":"10.1007/s11040-016-9209-x","language":[{"iso":"eng"}]},{"citation":{"chicago":"Frank, Rupert, Rowan Killip, and Phan Nam. “Nonexistence of Large Nuclei in the Liquid Drop Model.” Letters in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s11005-016-0860-8.","mla":"Frank, Rupert, et al. “Nonexistence of Large Nuclei in the Liquid Drop Model.” Letters in Mathematical Physics, vol. 106, no. 8, Springer, 2016, pp. 1033–36, doi:10.1007/s11005-016-0860-8.","short":"R. Frank, R. Killip, P. Nam, Letters in Mathematical Physics 106 (2016) 1033–1036.","ista":"Frank R, Killip R, Nam P. 2016. Nonexistence of large nuclei in the liquid drop model. Letters in Mathematical Physics. 106(8), 1033–1036.","ieee":"R. Frank, R. Killip, and P. Nam, “Nonexistence of large nuclei in the liquid drop model,” Letters in Mathematical Physics, vol. 106, no. 8. Springer, pp. 1033–1036, 2016.","apa":"Frank, R., Killip, R., & Nam, P. (2016). Nonexistence of large nuclei in the liquid drop model. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0860-8","ama":"Frank R, Killip R, Nam P. Nonexistence of large nuclei in the liquid drop model. Letters in Mathematical Physics. 2016;106(8):1033-1036. doi:10.1007/s11005-016-0860-8"},"publication":"Letters in Mathematical Physics","page":"1033 - 1036","date_published":"2016-08-01T00:00:00Z","scopus_import":1,"has_accepted_license":"1","day":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"1267","intvolume":" 106","title":"Nonexistence of large nuclei in the liquid drop model","ddc":["510","539"],"status":"public","pubrep_id":"698","file":[{"checksum":"d740a6a226e0f5f864f40e3e269d3cc0","date_updated":"2020-07-14T12:44:42Z","date_created":"2018-12-12T10:11:09Z","relation":"main_file","file_id":"4863","content_type":"application/pdf","file_size":349464,"creator":"system","access_level":"open_access","file_name":"IST-2016-698-v1+1_s11005-016-0860-8.pdf"}],"oa_version":"Published Version","type":"journal_article","issue":"8","abstract":[{"text":"We give a simplified proof of the nonexistence of large nuclei in the liquid drop model and provide an explicit bound. Our bound is within a factor of 2.3 of the conjectured value and seems to be the first quantitative result.","lang":"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"},"project":[{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"quality_controlled":"1","doi":"10.1007/s11005-016-0860-8","language":[{"iso":"eng"}],"month":"08","year":"2016","acknowledgement":"Open access funding provided by Institute of Science and Technology Austria.\r\n","department":[{"_id":"RoSe"}],"publisher":"Springer","publication_status":"published","author":[{"full_name":"Frank, Rupert","first_name":"Rupert","last_name":"Frank"},{"last_name":"Killip","first_name":"Rowan","full_name":"Killip, Rowan"},{"last_name":"Nam","first_name":"Phan","id":"404092F4-F248-11E8-B48F-1D18A9856A87","full_name":"Nam, Phan"}],"volume":106,"date_updated":"2021-01-12T06:49:30Z","date_created":"2018-12-11T11:51:02Z","publist_id":"6054","file_date_updated":"2020-07-14T12:44:42Z"},{"publist_id":"6025","file_date_updated":"2020-07-14T12:44:42Z","publisher":"Springer","department":[{"_id":"RoSe"}],"publication_status":"published","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). The\r\nresearch leading to these results has received funding from the European Research Council under the European\r\nUnion’s Seventh Framework Programme ERC Starting Grant CoMBoS (Grant Agreement No. 239694), from\r\nthe Italian PRIN National Grant Geometric and analytic theory of Hamiltonian systems in finite and infinite\r\ndimensions, and the Austrian Science Fund (FWF), project Nr. P 27533-N27. Part of this work was completed\r\nduring a stay at the Erwin Schrödinger Institute for Mathematical Physics in Vienna (ESI program 2015\r\n“Quantum many-body systems, random matrices, and disorder”), whose hospitality and financial support is\r\ngratefully acknowledged.","year":"2016","volume":347,"date_created":"2018-12-11T11:51:11Z","date_updated":"2021-01-12T06:49:40Z","author":[{"full_name":"Giuliani, Alessandro","first_name":"Alessandro","last_name":"Giuliani"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"month":"11","project":[{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"quality_controlled":"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"},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s00220-016-2665-0","type":"journal_article","issue":"3","abstract":[{"text":"We consider Ising models in two and three dimensions, with short range ferromagnetic and long range, power-law decaying, antiferromagnetic interactions. We let J be the ratio between the strength of the ferromagnetic to antiferromagnetic interactions. The competition between these two kinds of interactions induces the system to form domains of minus spins in a background of plus spins, or vice versa. If the decay exponent p of the long range interaction is larger than d + 1, with d the space dimension, this happens for all values of J smaller than a critical value Jc(p), beyond which the ground state is homogeneous. In this paper, we give a characterization of the infinite volume ground states of the system, for p > 2d and J in a left neighborhood of Jc(p). In particular, we prove that the quasi-one-dimensional states consisting of infinite stripes (d = 2) or slabs (d = 3), all of the same optimal width and orientation, and alternating magnetization, are infinite volume ground states. Our proof is based on localization bounds combined with reflection positivity.","lang":"eng"}],"intvolume":" 347","status":"public","title":"Periodic striped ground states in Ising models with competing interactions","ddc":["510","530"],"_id":"1291","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Published Version","file":[{"content_type":"application/pdf","file_size":794983,"creator":"system","file_name":"IST-2016-688-v1+1_s00220-016-2665-0.pdf","access_level":"open_access","date_created":"2018-12-12T10:09:02Z","date_updated":"2020-07-14T12:44:42Z","checksum":"3c6e08c048fc462e312788be72874bb1","relation":"main_file","file_id":"4725"}],"pubrep_id":"688","scopus_import":1,"has_accepted_license":"1","day":"01","page":"983 - 1007","citation":{"apa":"Giuliani, A., & Seiringer, R. (2016). Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-016-2665-0","ieee":"A. Giuliani and R. Seiringer, “Periodic striped ground states in Ising models with competing interactions,” Communications in Mathematical Physics, vol. 347, no. 3. Springer, pp. 983–1007, 2016.","ista":"Giuliani A, Seiringer R. 2016. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 347(3), 983–1007.","ama":"Giuliani A, Seiringer R. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 2016;347(3):983-1007. doi:10.1007/s00220-016-2665-0","chicago":"Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s00220-016-2665-0.","short":"A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.","mla":"Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:10.1007/s00220-016-2665-0."},"publication":"Communications in Mathematical Physics","date_published":"2016-11-01T00:00:00Z"},{"month":"03","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":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"}],"conference":{"end_date":"2015-08-25","location":"Shanghai, China","start_date":"2015-08-21","name":"24th International Laser Physics Workshop (LPHYS'15)"},"doi":"10.1088/1742-6596/691/1/012016","language":[{"iso":"eng"}],"article_number":"012016","file_date_updated":"2020-07-14T12:44:53Z","publist_id":"5770","year":"2016","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"IOP Publishing Ltd.","author":[{"first_name":"Martin","last_name":"Könenberg","full_name":"Könenberg, Martin"},{"id":"2B5FC9A4-F248-11E8-B48F-1D18A9856A87","first_name":"Thomas","last_name":"Moser","full_name":"Moser, Thomas"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"date_created":"2018-12-11T11:51:58Z","date_updated":"2021-01-12T06:50:40Z","volume":691,"scopus_import":1,"day":"07","has_accepted_license":"1","publication":"Journal of Physics: Conference Series","citation":{"chicago":"Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” In Journal of Physics: Conference Series, Vol. 691. IOP Publishing Ltd., 2016. https://doi.org/10.1088/1742-6596/691/1/012016.","short":"M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing Ltd., 2016.","mla":"Könenberg, Martin, et al. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” Journal of Physics: Conference Series, vol. 691, no. 1, 012016, IOP Publishing Ltd., 2016, doi:10.1088/1742-6596/691/1/012016.","ieee":"M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential,” in Journal of Physics: Conference Series, Shanghai, China, 2016, vol. 691, no. 1.","apa":"Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2016). Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. In Journal of Physics: Conference Series (Vol. 691). Shanghai, China: IOP Publishing Ltd. https://doi.org/10.1088/1742-6596/691/1/012016","ista":"Könenberg M, Moser T, Seiringer R, Yngvason J. 2016. Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. Journal of Physics: Conference Series. 24th International Laser Physics Workshop (LPHYS’15) vol. 691, 012016.","ama":"Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. In: Journal of Physics: Conference Series. Vol 691. IOP Publishing Ltd.; 2016. doi:10.1088/1742-6596/691/1/012016"},"date_published":"2016-03-07T00:00:00Z","type":"conference","abstract":[{"lang":"eng","text":"We report on a mathematically rigorous analysis of the superfluid properties of a Bose- Einstein condensate in the many-body ground state of a one-dimensional model of interacting bosons in a random potential."}],"issue":"1","_id":"1428","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","ddc":["510","530"],"status":"public","title":"Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential","intvolume":" 691","pubrep_id":"585","file":[{"creator":"system","file_size":1434688,"content_type":"application/pdf","file_name":"IST-2016-585-v1+1_JPCS_691_1_012016.pdf","access_level":"open_access","date_updated":"2020-07-14T12:44:53Z","date_created":"2018-12-12T10:10:55Z","checksum":"109db801749072c3f6c8f1a1848700fa","file_id":"4847","relation":"main_file"}],"oa_version":"Published Version"},{"date_updated":"2021-01-12T06:50:38Z","date_created":"2018-12-11T11:51:56Z","volume":106,"author":[{"full_name":"Frank, Rupert","first_name":"Rupert","last_name":"Frank"},{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"publication_status":"published","publisher":"Springer","department":[{"_id":"RoSe"}],"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","year":"2016","file_date_updated":"2020-07-14T12:44:53Z","publist_id":"5785","language":[{"iso":"eng"}],"doi":"10.1007/s11005-016-0847-5","quality_controlled":"1","project":[{"grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"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,"month":"07","file":[{"creator":"system","content_type":"application/pdf","file_size":458968,"file_name":"IST-2016-591-v1+1_s11005-016-0847-5.pdf","access_level":"open_access","date_created":"2018-12-12T10:15:57Z","date_updated":"2020-07-14T12:44:53Z","checksum":"fb404923d8ca9a1faeb949561f26cbea","file_id":"5181","relation":"main_file"}],"oa_version":"Published Version","pubrep_id":"591","ddc":["510","530"],"title":"Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations","status":"public","intvolume":" 106","_id":"1422","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"text":"We study the time-dependent Bogoliubov–de-Gennes equations for generic translation-invariant fermionic many-body systems. For initial states that are close to thermal equilibrium states at temperatures near the critical temperature, we show that the magnitude of the order parameter stays approximately constant in time and, in particular, does not follow a time-dependent Ginzburg–Landau equation, which is often employed as a phenomenological description and predicts a decay of the order parameter in time. The full non-linear structure of the equations is necessary to understand this behavior.","lang":"eng"}],"issue":"7","type":"journal_article","date_published":"2016-07-01T00:00:00Z","page":"913 - 923","publication":"Letters in Mathematical Physics","citation":{"chicago":"Frank, Rupert, Christian Hainzl, Benjamin Schlein, and Robert Seiringer. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s11005-016-0847-5.","mla":"Frank, Rupert, et al. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics, vol. 106, no. 7, Springer, 2016, pp. 913–23, doi:10.1007/s11005-016-0847-5.","short":"R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.","ista":"Frank R, Hainzl C, Schlein B, Seiringer R. 2016. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. 106(7), 913–923.","apa":"Frank, R., Hainzl, C., Schlein, B., & Seiringer, R. (2016). Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-016-0847-5","ieee":"R. Frank, C. Hainzl, B. Schlein, and R. Seiringer, “Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations,” Letters in Mathematical Physics, vol. 106, no. 7. Springer, pp. 913–923, 2016.","ama":"Frank R, Hainzl C, Schlein B, Seiringer R. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. 2016;106(7):913-923. doi:10.1007/s11005-016-0847-5"},"day":"01","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","scopus_import":1},{"ddc":["510","530"],"status":"public","title":"Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction","intvolume":" 105","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"1436","file":[{"relation":"main_file","file_id":"4825","checksum":"c5afe1f6935bc7f2b546adbde1d31a35","date_updated":"2020-07-14T12:44:54Z","date_created":"2018-12-12T10:10:36Z","access_level":"open_access","file_name":"IST-2016-581-v1+1_1-s2.0-S0021782415001191-main.pdf","file_size":658491,"content_type":"application/pdf","creator":"system"}],"oa_version":"Published Version","pubrep_id":"581","type":"journal_article","abstract":[{"text":"We study the time evolution of a system of N spinless fermions in R3 which interact through a pair potential, e.g., the Coulomb potential. We compare the dynamics given by the solution to Schrödinger's equation with the time-dependent Hartree-Fock approximation, and we give an estimate for the accuracy of this approximation in terms of the kinetic energy of the system. This leads, in turn, to bounds in terms of the initial total energy of the system.","lang":"eng"}],"issue":"1","page":"1 - 30","publication":"Journal de Mathématiques Pures et Appliquées","citation":{"ama":"Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Journal de Mathématiques Pures et Appliquées. 2016;105(1):1-30. doi:10.1016/j.matpur.2015.09.003","ista":"Bach V, Breteaux S, Petrat SP, Pickl P, Tzaneteas T. 2016. Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Journal de Mathématiques Pures et Appliquées. 105(1), 1–30.","ieee":"V. Bach, S. Breteaux, S. P. Petrat, P. Pickl, and T. Tzaneteas, “Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction,” Journal de Mathématiques Pures et Appliquées, vol. 105, no. 1. Elsevier, pp. 1–30, 2016.","apa":"Bach, V., Breteaux, S., Petrat, S. P., Pickl, P., & Tzaneteas, T. (2016). Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Journal de Mathématiques Pures et Appliquées. Elsevier. https://doi.org/10.1016/j.matpur.2015.09.003","mla":"Bach, Volker, et al. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction.” Journal de Mathématiques Pures et Appliquées, vol. 105, no. 1, Elsevier, 2016, pp. 1–30, doi:10.1016/j.matpur.2015.09.003.","short":"V. Bach, S. Breteaux, S.P. Petrat, P. Pickl, T. Tzaneteas, Journal de Mathématiques Pures et Appliquées 105 (2016) 1–30.","chicago":"Bach, Volker, Sébastien Breteaux, Sören P Petrat, Peter Pickl, and Tim Tzaneteas. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction.” Journal de Mathématiques Pures et Appliquées. Elsevier, 2016. https://doi.org/10.1016/j.matpur.2015.09.003."},"date_published":"2016-01-01T00:00:00Z","scopus_import":1,"day":"01","has_accepted_license":"1","publication_status":"published","publisher":"Elsevier","department":[{"_id":"RoSe"}],"year":"2016","date_updated":"2021-01-12T06:50:43Z","date_created":"2018-12-11T11:52:00Z","volume":105,"author":[{"last_name":"Bach","first_name":"Volker","full_name":"Bach, Volker"},{"first_name":"Sébastien","last_name":"Breteaux","full_name":"Breteaux, Sébastien"},{"orcid":"0000-0002-9166-5889","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","last_name":"Petrat","first_name":"Sören P","full_name":"Petrat, Sören P"},{"first_name":"Peter","last_name":"Pickl","full_name":"Pickl, Peter"},{"first_name":"Tim","last_name":"Tzaneteas","full_name":"Tzaneteas, Tim"}],"file_date_updated":"2020-07-14T12:44:54Z","ec_funded":1,"publist_id":"5763","quality_controlled":"1","project":[{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"}],"tmp":{"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","short":"CC BY-NC-ND (4.0)","image":"/images/cc_by_nc_nd.png"},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1016/j.matpur.2015.09.003","month":"01"}]