[{"has_accepted_license":"1","article_processing_charge":"No","day":"21","date_published":"2021-07-21T00:00:00Z","citation":{"ista":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv, 2106.11217.","ieee":"D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” arXiv. .","apa":"Feliciangeli, D., Gerolin, A., & Portinale, L. (n.d.). A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv. https://doi.org/10.48550/arXiv.2106.11217","ama":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv. doi:10.48550/arXiv.2106.11217","chicago":"Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2106.11217.","mla":"Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” ArXiv, 2106.11217, doi:10.48550/arXiv.2106.11217.","short":"D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.)."},"publication":"arXiv","abstract":[{"lang":"eng","text":"This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting the problem of computing the ground-state energy of a finite dimensional composite quantum system at positive temperature as a non-commutative entropy regularized Optimal Transport problem. We develop a new approach to fully characterize the dual-primal solutions in such non-commutative setting. The mathematical formalism is particularly relevant in quantum chemistry: numerical realizations of the many-electron ground state energy can be computed via a non-commutative version of Sinkhorn algorithm. Our approach allows to prove convergence and robustness of this algorithm, which, to our best knowledge, were unknown even in the two marginal case. Our methods are based on careful a priori estimates in the dual problem, which we believe to be of independent interest. Finally, the above results are extended in 1RDMFT setting, where bosonic or fermionic symmetry conditions are enforced on the problem."}],"type":"preprint","oa_version":"Preprint","_id":"9792","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ddc":["510"],"status":"public","title":"A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature","month":"07","doi":"10.48550/arXiv.2106.11217","language":[{"iso":"eng"}],"oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"arxiv":["2106.11217"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2106.11217","open_access":"1"}],"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020"},{"name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"ec_funded":1,"license":"https://creativecommons.org/licenses/by/4.0/","article_number":"2106.11217","related_material":{"record":[{"id":"9733","status":"public","relation":"dissertation_contains"},{"status":"public","relation":"dissertation_contains","id":"10030"},{"relation":"later_version","status":"public","id":"12911"}]},"author":[{"full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530","first_name":"Dario","last_name":"Feliciangeli"},{"full_name":"Gerolin, Augusto","last_name":"Gerolin","first_name":"Augusto"},{"first_name":"Lorenzo","last_name":"Portinale","id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","full_name":"Portinale, Lorenzo"}],"date_updated":"2023-11-14T13:21:01Z","date_created":"2021-08-06T09:07:12Z","year":"2021","acknowledgement":"This work started when A.G. was visiting the Erwin Schrödinger Institute and then continued when D.F. and L.P visited the Theoretical Chemistry Department of the Vrije Universiteit Amsterdam. The authors thanks the hospitality of both places and, especially, P. Gori-Giorgi and K. Giesbertz for fruitful discussions and literature suggestions in the early state of the project. Finally, the authors also thanks J. Maas and R. Seiringer for their feedback and useful comments to a first draft of the article. L.P. acknowledges support by the Austrian Science Fund (FWF), grants No W1245 and NoF65. D.F acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 716117 and No 694227). A.G. acknowledges funding by the European Research Council under H2020/MSCA-IF “OTmeetsDFT” [grant ID: 795942].","department":[{"_id":"RoSe"},{"_id":"JaMa"}],"publication_status":"submitted"},{"oa_version":"Preprint","intvolume":" 3","title":"Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14889","issue":"4","abstract":[{"text":"We consider the Fröhlich Hamiltonian with large coupling constant α. For initial data of Pekar product form with coherent phonon field and with the electron minimizing the corresponding energy, we provide a norm approximation of the evolution, valid up to times of order α2. The approximation is given in terms of a Pekar product state, evolved through the Landau-Pekar equations, corrected by a Bogoliubov dynamics taking quantum fluctuations into account. This allows us to show that the Landau-Pekar equations approximately describe the evolution of the electron- and one-phonon reduced density matrices under the Fröhlich dynamics up to times of order α2.","lang":"eng"}],"type":"journal_article","date_published":"2021-10-01T00:00:00Z","page":"653-676","article_type":"original","citation":{"short":"N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.","mla":"Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:10.2140/paa.2021.3.653.","chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/paa.2021.3.653.","ama":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 2021;3(4):653-676. doi:10.2140/paa.2021.3.653","ieee":"N. K. Leopold, D. J. Mitrouskas, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron,” Pure and Applied Analysis, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 653–676, 2021.","apa":"Leopold, N. K., Mitrouskas, D. J., Rademacher, S. A. E., Schlein, B., & Seiringer, R. (2021). Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2021.3.653","ista":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. 2021. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 3(4), 653–676."},"publication":"Pure and Applied Analysis","article_processing_charge":"No","day":"01","scopus_import":"1","volume":3,"date_created":"2024-01-28T23:01:43Z","date_updated":"2024-02-05T10:02:45Z","author":[{"orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold","first_name":"Nikolai K","full_name":"Leopold, Nikolai K"},{"full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","first_name":"Simone Anna Elvira"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"department":[{"_id":"RoSe"}],"publisher":"Mathematical Sciences Publishers","publication_status":"published","acknowledgement":"Financial support by the European Union’s Horizon 2020 research and innovation programme\r\nunder the Marie Skłodowska-Curie grant agreement No. 754411 (S.R.) and the European\r\nResearch Council under grant agreement No. 694227 (N.L. and R.S.), as well as by the SNSF\r\nEccellenza project PCEFP2 181153 (N.L.), the NCCR SwissMAP (N.L. and B.S.) and by the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. B.S. gratefully\r\nacknowledges financial support from the Swiss National Science Foundation through the Grant\r\n“Dynamical and energetic properties of Bose-Einstein condensates” and from the European\r\nResearch Council through the ERC-AdG CLaQS (grant agreement No 834782). D.M. thanks\r\nMarcel Griesemer for helpful discussions.","year":"2021","ec_funded":1,"language":[{"iso":"eng"}],"doi":"10.2140/paa.2021.3.653","project":[{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"quality_controlled":"1","external_id":{"arxiv":["2005.02098"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2005.02098"}],"oa":1,"publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"month":"10"},{"date_published":"2021-10-01T00:00:00Z","article_type":"original","page":"677-726","publication":"Pure and Applied Analysis","citation":{"ama":"Bossmann L, Petrat SP, Pickl P, Soffer A. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 2021;3(4):677-726. doi:10.2140/paa.2021.3.677","ieee":"L. Bossmann, S. P. Petrat, P. Pickl, and A. Soffer, “Beyond Bogoliubov dynamics,” Pure and Applied Analysis, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 677–726, 2021.","apa":"Bossmann, L., Petrat, S. P., Pickl, P., & Soffer, A. (2021). Beyond Bogoliubov dynamics. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2021.3.677","ista":"Bossmann L, Petrat SP, Pickl P, Soffer A. 2021. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 3(4), 677–726.","short":"L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis 3 (2021) 677–726.","mla":"Bossmann, Lea, et al. “Beyond Bogoliubov Dynamics.” Pure and Applied Analysis, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 677–726, doi:10.2140/paa.2021.3.677.","chicago":"Bossmann, Lea, Sören P Petrat, Peter Pickl, and Avy Soffer. “Beyond Bogoliubov Dynamics.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/paa.2021.3.677."},"day":"01","article_processing_charge":"No","scopus_import":"1","oa_version":"Preprint","status":"public","title":"Beyond Bogoliubov dynamics","intvolume":" 3","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14890","abstract":[{"lang":"eng","text":"We consider a system of N interacting bosons in the mean-field scaling regime and construct corrections to the Bogoliubov dynamics that approximate the true N-body dynamics in norm to arbitrary precision. The N-independent corrections are given in terms of the solutions of the Bogoliubov and Hartree equations and satisfy a generalized form of Wick's theorem. We determine the n-point correlation functions of the excitations around the condensate, as well as the reduced densities of the N-body system, to arbitrary accuracy, given only the knowledge of the two-point functions of a quasi-free state and the solution of the Hartree equation. In this way, the complex problem of computing all n-point correlation functions for an interacting N-body system is essentially reduced to the problem of solving the Hartree equation and the PDEs for the Bogoliubov two-point functions."}],"issue":"4","type":"journal_article","language":[{"iso":"eng"}],"doi":"10.2140/paa.2021.3.677","quality_controlled":"1","project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"}],"external_id":{"arxiv":["1912.11004"]},"oa":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1912.11004","open_access":"1"}],"month":"10","publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"date_updated":"2024-02-05T09:26:31Z","date_created":"2024-01-28T23:01:43Z","volume":3,"author":[{"full_name":"Bossmann, Lea","orcid":"0000-0002-6854-1343","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","last_name":"Bossmann","first_name":"Lea"},{"orcid":"0000-0002-9166-5889","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","last_name":"Petrat","first_name":"Sören P","full_name":"Petrat, Sören P"},{"full_name":"Pickl, Peter","last_name":"Pickl","first_name":"Peter"},{"full_name":"Soffer, Avy","first_name":"Avy","last_name":"Soffer"}],"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Mathematical Sciences Publishers","acknowledgement":"We are grateful for the hospitality of Central China Normal University (CCNU),\r\nwhere parts of this work were done, and thank Phan Th`anh Nam, Simone\r\nRademacher, Robert Seiringer and Stefan Teufel for helpful discussions. L.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research\r\nTraining Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and the funding\r\nfrom the European Union’s Horizon 2020 research and innovation programme under the Marie\r\nSk lodowska-Curie Grant Agreement No. 754411.","year":"2021","ec_funded":1},{"publication_status":"published","department":[{"_id":"GradSch"},{"_id":"RoSe"},{"_id":"JaMa"}],"publisher":"Institute of Science and Technology Austria","year":"2021","date_updated":"2024-03-06T12:30:44Z","date_created":"2021-07-27T15:48:30Z","author":[{"orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli","first_name":"Dario","full_name":"Feliciangeli, Dario"}],"related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"9787"},{"id":"9792","relation":"part_of_dissertation","status":"public"},{"id":"9225","relation":"part_of_dissertation","status":"public"},{"relation":"part_of_dissertation","status":"public","id":"9781"},{"status":"public","relation":"part_of_dissertation","id":"9791"}]},"license":"https://creativecommons.org/licenses/by-nd/4.0/","file_date_updated":"2022-03-10T12:13:57Z","ec_funded":1,"project":[{"grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics"},{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}],"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"},"oa":1,"degree_awarded":"PhD","supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"},{"orcid":"0000-0002-0845-1338","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","last_name":"Maas","first_name":"Jan","full_name":"Maas, Jan"}],"language":[{"iso":"eng"}],"doi":"10.15479/at:ista:9733","month":"08","publication_identifier":{"issn":["2663-337X"]},"status":"public","title":"The polaron at strong coupling","ddc":["515","519","539"],"_id":"9733","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","file":[{"access_level":"open_access","file_name":"Thesis_FeliciangeliA.pdf","file_size":1958710,"content_type":"application/pdf","creator":"dfelicia","relation":"main_file","file_id":"9944","checksum":"e88bb8ca43948abe060eb2d2fa719881","date_updated":"2021-09-06T09:28:56Z","date_created":"2021-08-19T14:03:48Z"},{"relation":"source_file","file_id":"9945","date_updated":"2022-03-10T12:13:57Z","date_created":"2021-08-19T14:06:35Z","checksum":"72810843abee83705853505b3f8348aa","file_name":"thesis.7z","access_level":"closed","content_type":"application/octet-stream","file_size":3771669,"creator":"dfelicia"}],"oa_version":"Published Version","alternative_title":["ISTA Thesis"],"type":"dissertation","abstract":[{"text":"This thesis is the result of the research carried out by the author during his PhD at IST Austria between 2017 and 2021. It mainly focuses on the Fröhlich polaron model, specifically to its regime of strong coupling. This model, which is rigorously introduced and discussed in the introduction, has been of great interest in condensed matter physics and field theory for more than eighty years. It is used to describe an electron interacting with the atoms of a solid material (the strength of this interaction is modeled by the presence of a coupling constant α in the Hamiltonian of the system). The particular regime examined here, which is mathematically described by considering the limit α →∞, displays many interesting features related to the emergence of classical behavior, which allows for a simplified effective description of the system under analysis. The properties, the range of validity and a quantitative analysis of the precision of such classical approximations are the main object of the present work. We specify our investigation to the study of the ground state energy of the system, its dynamics and its effective mass. For each of these problems, we provide in the introduction an overview of the previously known results and a detailed account of the original contributions by the author.","lang":"eng"}],"page":"180","citation":{"short":"D. Feliciangeli, The Polaron at Strong Coupling, Institute of Science and Technology Austria, 2021.","mla":"Feliciangeli, Dario. The Polaron at Strong Coupling. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:9733.","chicago":"Feliciangeli, Dario. “The Polaron at Strong Coupling.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:9733.","ama":"Feliciangeli D. The polaron at strong coupling. 2021. doi:10.15479/at:ista:9733","apa":"Feliciangeli, D. (2021). The polaron at strong coupling. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:9733","ieee":"D. Feliciangeli, “The polaron at strong coupling,” Institute of Science and Technology Austria, 2021.","ista":"Feliciangeli D. 2021. The polaron at strong coupling. Institute of Science and Technology Austria."},"date_published":"2021-08-20T00:00:00Z","day":"20","has_accepted_license":"1","article_processing_charge":"No"},{"abstract":[{"text":"We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by Landau and Pekar.","lang":"eng"}],"ec_funded":1,"article_number":"2107.03720 ","type":"preprint","author":[{"full_name":"Feliciangeli, Dario","first_name":"Dario","last_name":"Feliciangeli","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530"},{"first_name":"Simone Anna Elvira","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"related_material":{"record":[{"id":"10755","relation":"later_version","status":"public"},{"status":"public","relation":"dissertation_contains","id":"9733"}]},"date_created":"2021-08-06T08:49:45Z","date_updated":"2024-03-06T12:30:45Z","oa_version":"Preprint","acknowledgement":"We thank Herbert Spohn for helpful comments. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged..","_id":"9791","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","year":"2021","ddc":["510"],"status":"public","publication_status":"submitted","title":"The effective mass problem for the Landau-Pekar equations","department":[{"_id":"RoSe"}],"day":"08","month":"07","article_processing_charge":"No","date_published":"2021-07-08T00:00:00Z","language":[{"iso":"eng"}],"publication":"arXiv","oa":1,"citation":{"ista":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv, 2107.03720.","apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (n.d.). The effective mass problem for the Landau-Pekar equations. arXiv.","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” arXiv. .","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv.","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, n.d.","mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, 2107.03720.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.)."},"external_id":{"arxiv":["2107.03720"]},"main_file_link":[{"url":"https://arxiv.org/abs/2107.03720","open_access":"1"}],"project":[{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}]},{"ec_funded":1,"file_date_updated":"2020-07-14T12:47:35Z","year":"2020","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"publication_status":"published","author":[{"orcid":"0000-0002-1071-6091","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","last_name":"Benedikter","first_name":"Niels P","full_name":"Benedikter, Niels P"},{"full_name":"Nam, Phan Thành","first_name":"Phan Thành","last_name":"Nam"},{"first_name":"Marcello","last_name":"Porta","full_name":"Porta, Marcello"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"volume":374,"date_created":"2019-07-18T13:30:04Z","date_updated":"2023-08-17T13:51:50Z","publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"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,"external_id":{"arxiv":["1809.01902"],"isi":["000527910700019"]},"project":[{"name":"FWF Open Access Fund","call_identifier":"FWF","_id":"3AC91DDA-15DF-11EA-824D-93A3E7B544D1"},{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","grant_number":"P27533_N27"},{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"isi":1,"quality_controlled":"1","doi":"10.1007/s00220-019-03505-5","language":[{"iso":"eng"}],"type":"journal_article","abstract":[{"lang":"eng","text":"While Hartree–Fock theory is well established as a fundamental approximation for interacting fermions, it has been unclear how to describe corrections to it due to many-body correlations. In this paper we start from the Hartree–Fock state given by plane waves and introduce collective particle–hole pair excitations. These pairs can be approximately described by a bosonic quadratic Hamiltonian. We use Bogoliubov theory to construct a trial state yielding a rigorous Gell-Mann–Brueckner–type upper bound to the ground state energy. Our result justifies the random-phase approximation in the mean-field scaling regime, for repulsive, regular interaction potentials.\r\n"}],"_id":"6649","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","intvolume":" 374","title":"Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime","status":"public","ddc":["530"],"oa_version":"Published Version","file":[{"relation":"main_file","file_id":"6668","checksum":"f9dd6dd615a698f1d3636c4a092fed23","date_updated":"2020-07-14T12:47:35Z","date_created":"2019-07-24T07:19:10Z","access_level":"open_access","file_name":"2019_CommMathPhysics_Benedikter.pdf","content_type":"application/pdf","file_size":853289,"creator":"dernst"}],"scopus_import":"1","has_accepted_license":"1","article_processing_charge":"No","day":"01","citation":{"mla":"Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics, vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:10.1007/s00220-019-03505-5.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s00220-019-03505-5.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 2020;374:2097–2150. doi:10.1007/s00220-019-03505-5","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2020. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 374, 2097–2150.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2020). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-019-03505-5","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime,” Communications in Mathematical Physics, vol. 374. Springer Nature, pp. 2097–2150, 2020."},"publication":"Communications in Mathematical Physics","page":"2097–2150","article_type":"original","date_published":"2020-03-01T00:00:00Z"},{"type":"journal_article","abstract":[{"lang":"eng","text":"In this paper, we introduce a novel method for deriving higher order corrections to the mean-field description of the dynamics of interacting bosons. More precisely, we consider the dynamics of N d-dimensional bosons for large N. The bosons initially form a Bose–Einstein condensate and interact with each other via a pair potential of the form (N−1)−1Ndβv(Nβ·)forβ∈[0,14d). We derive a sequence of N-body functions which approximate the true many-body dynamics in L2(RdN)-norm to arbitrary precision in powers of N−1. The approximating functions are constructed as Duhamel expansions of finite order in terms of the first quantised analogue of a Bogoliubov time evolution."}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"7508","status":"public","title":"Higher order corrections to the mean-field description of the dynamics of interacting bosons","ddc":["510"],"intvolume":" 178","oa_version":"Published Version","file":[{"date_created":"2020-11-20T09:26:46Z","date_updated":"2020-11-20T09:26:46Z","checksum":"643e230bf147e64d9cdb3f6cc573679d","success":1,"relation":"main_file","file_id":"8780","file_size":576726,"content_type":"application/pdf","creator":"dernst","file_name":"2020_JournStatPhysics_Bossmann.pdf","access_level":"open_access"}],"scopus_import":"1","day":"21","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","publication":"Journal of Statistical Physics","citation":{"ama":"Bossmann L, Pavlović N, Pickl P, Soffer A. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. 2020;178:1362-1396. doi:10.1007/s10955-020-02500-8","apa":"Bossmann, L., Pavlović, N., Pickl, P., & Soffer, A. (2020). Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-020-02500-8","ieee":"L. Bossmann, N. Pavlović, P. Pickl, and A. Soffer, “Higher order corrections to the mean-field description of the dynamics of interacting bosons,” Journal of Statistical Physics, vol. 178. Springer Nature, pp. 1362–1396, 2020.","ista":"Bossmann L, Pavlović N, Pickl P, Soffer A. 2020. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. 178, 1362–1396.","short":"L. Bossmann, N. Pavlović, P. Pickl, A. Soffer, Journal of Statistical Physics 178 (2020) 1362–1396.","mla":"Bossmann, Lea, et al. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” Journal of Statistical Physics, vol. 178, Springer Nature, 2020, pp. 1362–96, doi:10.1007/s10955-020-02500-8.","chicago":"Bossmann, Lea, Nataša Pavlović, Peter Pickl, and Avy Soffer. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-020-02500-8."},"article_type":"original","page":"1362-1396","date_published":"2020-02-21T00:00:00Z","file_date_updated":"2020-11-20T09:26:46Z","ec_funded":1,"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nL.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research Training Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and wishes to thank Stefan Teufel, Sören Petrat and Marcello Porta for helpful discussions. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. N.P. gratefully acknowledges support from NSF grant DMS-1516228 and DMS-1840314. P.P.’s research was funded by DFG Grant no. PI 1114/3-1. Part of this work was done when N.P. and P.P. were visiting CCNU, Wuhan. N.P. and P.P. thank A.S. for his hospitality at CCNU.","year":"2020","publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","author":[{"id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","orcid":"0000-0002-6854-1343","first_name":"Lea","last_name":"Bossmann","full_name":"Bossmann, Lea"},{"last_name":"Pavlović","first_name":"Nataša","full_name":"Pavlović, Nataša"},{"last_name":"Pickl","first_name":"Peter","full_name":"Pickl, Peter"},{"last_name":"Soffer","first_name":"Avy","full_name":"Soffer, Avy"}],"date_updated":"2023-08-18T06:37:46Z","date_created":"2020-02-23T09:45:51Z","volume":178,"month":"02","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"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":["000516342200001"],"arxiv":["1905.06164"]},"quality_controlled":"1","isi":1,"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"}],"doi":"10.1007/s10955-020-02500-8","language":[{"iso":"eng"}]},{"ec_funded":1,"file_date_updated":"2020-07-14T12:48:03Z","article_number":"e20","related_material":{"record":[{"id":"7524","status":"public","relation":"earlier_version"}]},"author":[{"full_name":"Deuchert, Andreas","last_name":"Deuchert","first_name":"Andreas","orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Mayer, Simon","first_name":"Simon","last_name":"Mayer","id":"30C4630A-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"volume":8,"date_created":"2020-05-03T22:00:48Z","date_updated":"2023-08-21T06:18:49Z","year":"2020","department":[{"_id":"RoSe"}],"publisher":"Cambridge University Press","publication_status":"published","publication_identifier":{"eissn":["20505094"]},"month":"03","doi":"10.1017/fms.2020.17","language":[{"iso":"eng"}],"external_id":{"arxiv":["1910.03372"],"isi":["000527342000001"]},"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":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"quality_controlled":"1","isi":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 𝜌 and inverse temperature 𝛽 differs from the one of the noninteracting system by the correction term 𝜋𝜌𝜌𝛽𝛽 . Here, is the scattering length of the interaction potential, and 𝛽 is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. The result is valid in the dilute limit 𝜌 and if 𝛽𝜌 ."}],"type":"journal_article","oa_version":"Published Version","file":[{"access_level":"open_access","file_name":"2020_ForumMath_Deuchert.pdf","creator":"dernst","content_type":"application/pdf","file_size":692530,"file_id":"7797","relation":"main_file","checksum":"8a64da99d107686997876d7cad8cfe1e","date_updated":"2020-07-14T12:48:03Z","date_created":"2020-05-04T12:02:41Z"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"7790","intvolume":" 8","status":"public","ddc":["510"],"title":"The free energy of the two-dimensional dilute Bose gas. I. Lower bound","has_accepted_license":"1","article_processing_charge":"No","day":"14","scopus_import":"1","date_published":"2020-03-14T00:00:00Z","citation":{"apa":"Deuchert, A., Mayer, S., & Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2020.17","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” Forum of Mathematics, Sigma, vol. 8. Cambridge University Press, 2020.","ista":"Deuchert A, Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 8, e20.","ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 2020;8. doi:10.1017/fms.2020.17","chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma. Cambridge University Press, 2020. https://doi.org/10.1017/fms.2020.17.","short":"A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma, vol. 8, e20, Cambridge University Press, 2020, doi:10.1017/fms.2020.17."},"publication":"Forum of Mathematics, Sigma","article_type":"original"},{"publication_status":"published","publisher":"European Mathematical Society","department":[{"_id":"RoSe"}],"year":"2020","date_created":"2020-06-29T07:59:35Z","date_updated":"2023-08-22T07:47:04Z","volume":22,"author":[{"full_name":"Boccato, Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","last_name":"Boccato","first_name":"Chiara"},{"full_name":"Brennecke, Christian","first_name":"Christian","last_name":"Brennecke"},{"full_name":"Cenatiempo, Serena","first_name":"Serena","last_name":"Cenatiempo"},{"full_name":"Schlein, Benjamin","last_name":"Schlein","first_name":"Benjamin"}],"isi":1,"quality_controlled":"1","oa":1,"external_id":{"arxiv":["1704.04819"],"isi":["000548174700006"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1704.04819"}],"language":[{"iso":"eng"}],"doi":"10.4171/JEMS/966","month":"07","publication_identifier":{"issn":["14359855"]},"title":"The excitation spectrum of Bose gases interacting through singular potentials","status":"public","intvolume":" 22","_id":"8042","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa_version":"Preprint","type":"journal_article","abstract":[{"lang":"eng","text":"We consider systems of N bosons in a box of volume one, interacting through a repulsive two-body potential of the form κN3β−1V(Nβx). For all 0<β<1, and for sufficiently small coupling constant κ>0, we establish the validity of Bogolyubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large N."}],"issue":"7","article_type":"original","page":"2331-2403","publication":"Journal of the European Mathematical Society","citation":{"apa":"Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2020). The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/966","ieee":"C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “The excitation spectrum of Bose gases interacting through singular potentials,” Journal of the European Mathematical Society, vol. 22, no. 7. European Mathematical Society, pp. 2331–2403, 2020.","ista":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 22(7), 2331–2403.","ama":"Boccato C, Brennecke C, Cenatiempo S, Schlein B. The excitation spectrum of Bose gases interacting through singular potentials. Journal of the European Mathematical Society. 2020;22(7):2331-2403. doi:10.4171/JEMS/966","chicago":"Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” Journal of the European Mathematical Society. European Mathematical Society, 2020. https://doi.org/10.4171/JEMS/966.","short":"C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Journal of the European Mathematical Society 22 (2020) 2331–2403.","mla":"Boccato, Chiara, et al. “The Excitation Spectrum of Bose Gases Interacting through Singular Potentials.” Journal of the European Mathematical Society, vol. 22, no. 7, European Mathematical Society, 2020, pp. 2331–403, doi:10.4171/JEMS/966."},"date_published":"2020-07-01T00:00:00Z","scopus_import":"1","day":"01","article_processing_charge":"No"},{"intvolume":" 181","title":"Emergence of Haldane pseudo-potentials in systems with short-range interactions","ddc":["530"],"status":"public","_id":"8091","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa_version":"Published Version","file":[{"relation":"main_file","file_id":"8812","checksum":"5cbeef52caf18d0d952f17fed7b5545a","success":1,"date_updated":"2020-11-25T15:05:04Z","date_created":"2020-11-25T15:05:04Z","access_level":"open_access","file_name":"2020_JourStatPhysics_Seiringer.pdf","file_size":404778,"content_type":"application/pdf","creator":"dernst"}],"type":"journal_article","abstract":[{"text":"In the setting of the fractional quantum Hall effect we study the effects of strong, repulsive two-body interaction potentials of short range. We prove that Haldane’s pseudo-potential operators, including their pre-factors, emerge as mathematically rigorous limits of such interactions when the range of the potential tends to zero while its strength tends to infinity. In a common approach the interaction potential is expanded in angular momentum eigenstates in the lowest Landau level, which amounts to taking the pre-factors to be the moments of the potential. Such a procedure is not appropriate for very strong interactions, however, in particular not in the case of hard spheres. We derive the formulas valid in the short-range case, which involve the scattering lengths of the interaction potential in different angular momentum channels rather than its moments. Our results hold for bosons and fermions alike and generalize previous results in [6], which apply to bosons in the lowest angular momentum channel. Our main theorem asserts the convergence in a norm-resolvent sense of the Hamiltonian on the whole Hilbert space, after appropriate energy scalings, to Hamiltonians with contact interactions in the lowest Landau level.","lang":"eng"}],"page":"448-464","article_type":"original","citation":{"ista":"Seiringer R, Yngvason J. 2020. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 181, 448–464.","ieee":"R. Seiringer and J. Yngvason, “Emergence of Haldane pseudo-potentials in systems with short-range interactions,” Journal of Statistical Physics, vol. 181. Springer, pp. 448–464, 2020.","apa":"Seiringer, R., & Yngvason, J. (2020). Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-020-02586-0","ama":"Seiringer R, Yngvason J. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 2020;181:448-464. doi:10.1007/s10955-020-02586-0","chicago":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics. Springer, 2020. https://doi.org/10.1007/s10955-020-02586-0.","mla":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics, vol. 181, Springer, 2020, pp. 448–64, doi:10.1007/s10955-020-02586-0.","short":"R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464."},"publication":"Journal of Statistical Physics","date_published":"2020-10-01T00:00:00Z","scopus_import":"1","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","day":"01","publisher":"Springer","department":[{"_id":"RoSe"}],"publication_status":"published","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nThe work of R.S. was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No 694227). J.Y. gratefully acknowledges hospitality at the LPMMC Grenoble and valuable discussions with Alessandro Olgiati and Nicolas Rougerie. ","year":"2020","volume":181,"date_updated":"2023-08-22T07:51:47Z","date_created":"2020-07-05T22:00:46Z","author":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"ec_funded":1,"file_date_updated":"2020-11-25T15:05:04Z","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"quality_controlled":"1","isi":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":["2001.07144"],"isi":["000543030000002"]},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s10955-020-02586-0","publication_identifier":{"eissn":["15729613"],"issn":["00224715"]},"month":"10"},{"month":"06","publication_identifier":{"issn":["00222488"]},"isi":1,"quality_controlled":"1","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"external_id":{"arxiv":["2002.08281"],"isi":["000544595100001"]},"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2002.08281"}],"language":[{"iso":"eng"}],"doi":"10.1063/5.0005950","article_number":"061901","ec_funded":1,"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"AIP Publishing","year":"2020","date_updated":"2023-08-22T08:12:40Z","date_created":"2020-07-19T22:00:59Z","volume":61,"author":[{"full_name":"Mayer, Simon","last_name":"Mayer","first_name":"Simon","id":"30C4630A-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"scopus_import":"1","day":"22","article_processing_charge":"No","article_type":"original","publication":"Journal of Mathematical Physics","citation":{"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.","short":"S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).","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.","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","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.","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"},"date_published":"2020-06-22T00:00:00Z","type":"journal_article","abstract":[{"lang":"eng","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."}],"issue":"6","status":"public","title":"The free energy of the two-dimensional dilute Bose gas. II. Upper bound","intvolume":" 61","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"8134","oa_version":"Preprint"},{"publication_identifier":{"issn":["2469-9950"],"eissn":["2469-9969"]},"month":"10","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.07890"}],"oa":1,"external_id":{"arxiv":["1912.07890"],"isi":["000582563300001"]},"project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"},{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"_id":"2688CF98-B435-11E9-9278-68D0E5697425","grant_number":"801770","name":"Angulon: physics and applications of a new quasiparticle","call_identifier":"H2020"}],"isi":1,"quality_controlled":"1","doi":"10.1103/physrevb.102.144109","language":[{"iso":"eng"}],"article_number":"144109","ec_funded":1,"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","author":[{"full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu","first_name":"Enderalp"},{"full_name":"Ghazaryan, Areg","first_name":"Areg","last_name":"Ghazaryan","id":"4AF46FD6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-9666-3543"},{"full_name":"Lundholm, D.","last_name":"Lundholm","first_name":"D."},{"full_name":"Rougerie, N.","last_name":"Rougerie","first_name":"N."},{"first_name":"Mikhail","last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"volume":102,"date_created":"2020-11-18T07:34:17Z","date_updated":"2023-09-05T12:12:30Z","scopus_import":"1","article_processing_charge":"No","day":"01","citation":{"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","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.","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.","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."},"publication":"Physical Review B","article_type":"original","date_published":"2020-10-01T00:00:00Z","type":"journal_article","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."}],"_id":"8769","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","intvolume":" 102","title":"Quantum impurity model for anyons","status":"public","oa_version":"Preprint"},{"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"}],"isi":1,"quality_controlled":"1","external_id":{"arxiv":["1901.11363"],"isi":["000519415000001"]},"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/s00205-020-01489-4","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"month":"03","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"publication_status":"published","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.","year":"2020","volume":236,"date_created":"2020-04-08T15:18:03Z","date_updated":"2023-09-05T14:18:49Z","author":[{"orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","last_name":"Deuchert","first_name":"Andreas","full_name":"Deuchert, Andreas"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"ec_funded":1,"file_date_updated":"2020-11-20T13:17:42Z","page":"1217-1271","article_type":"original","citation":{"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.","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.","apa":"Deuchert, A., & Seiringer, R. (2020). Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-020-01489-4","ama":"Deuchert A, Seiringer R. Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. 2020;236(6):1217-1271. doi:10.1007/s00205-020-01489-4","chicago":"Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis. Springer Nature, 2020. https://doi.org/10.1007/s00205-020-01489-4.","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.","short":"A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271."},"publication":"Archive for Rational Mechanics and Analysis","date_published":"2020-03-09T00:00:00Z","scopus_import":"1","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","day":"09","intvolume":" 236","title":"Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature","status":"public","ddc":["510"],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"7650","oa_version":"Published Version","file":[{"date_created":"2020-11-20T13:17:42Z","date_updated":"2020-11-20T13:17:42Z","success":1,"checksum":"b645fb64bfe95bbc05b3eea374109a9c","file_id":"8785","relation":"main_file","creator":"dernst","content_type":"application/pdf","file_size":704633,"file_name":"2020_ArchRatMechanicsAnalysis_Deuchert.pdf","access_level":"open_access"}],"type":"journal_article","issue":"6","abstract":[{"lang":"eng","text":"We consider a dilute, homogeneous Bose gas at positive temperature. The system is investigated in the Gross–Pitaevskii limit, where the scattering length a is so small that the interaction energy is of the same order of magnitude as the spectral gap of the Laplacian, and for temperatures that are comparable to the critical temperature of the ideal gas. We show that the difference between the specific free energy of the interacting system and the one of the ideal gas is to leading order given by 4πa(2ϱ2−ϱ20). Here ϱ denotes the density of the system and ϱ0 is the expected condensate density of the ideal gas. Additionally, we show that the one-particle density matrix of any approximate minimizer of the Gibbs free energy functional is to leading order given by the one of the ideal gas. This in particular proves Bose–Einstein condensation with critical temperature given by the one of the ideal gas to leading order. One key ingredient of our proof is a novel use of the Gibbs variational principle that goes hand in hand with the c-number substitution."}]},{"abstract":[{"text":"We study the dynamics of a system of N interacting bosons in a disc-shaped trap, which is realised by an external potential that confines the bosons in one spatial dimension to an interval of length of order ε. The interaction is non-negative and scaled in such a way that its scattering length is of order ε/N, while its range is proportional to (ε/N)β with scaling parameter β∈(0,1]. We consider the simultaneous limit (N,ε)→(∞,0) and assume that the system initially exhibits Bose–Einstein condensation. We prove that condensation is preserved by the N-body dynamics, where the time-evolved condensate wave function is the solution of a two-dimensional non-linear equation. The strength of the non-linearity depends on the scaling parameter β. For β∈(0,1), we obtain a cubic defocusing non-linear Schrödinger equation, while the choice β=1 yields a Gross–Pitaevskii equation featuring the scattering length of the interaction. In both cases, the coupling parameter depends on the confining potential.","lang":"eng"}],"issue":"11","type":"journal_article","oa_version":"Published Version","file":[{"relation":"main_file","file_id":"8826","date_created":"2020-12-02T08:50:38Z","date_updated":"2020-12-02T08:50:38Z","checksum":"cc67a79a67bef441625fcb1cd031db3d","success":1,"file_name":"2020_ArchiveRatMech_Bossmann.pdf","access_level":"open_access","file_size":942343,"content_type":"application/pdf","creator":"dernst"}],"title":"Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons","ddc":["510"],"status":"public","intvolume":" 238","_id":"8130","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","day":"01","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","date_published":"2020-11-01T00:00:00Z","article_type":"original","page":"541-606","publication":"Archive for Rational Mechanics and Analysis","citation":{"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","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.","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","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.","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.","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."},"file_date_updated":"2020-12-02T08:50:38Z","ec_funded":1,"date_created":"2020-07-18T15:06:35Z","date_updated":"2023-09-05T14:19:06Z","volume":238,"author":[{"full_name":"Bossmann, Lea","last_name":"Bossmann","first_name":"Lea","orcid":"0000-0002-6854-1343","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425"}],"publication_status":"published","department":[{"_id":"RoSe"}],"publisher":"Springer Nature","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.","month":"11","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"language":[{"iso":"eng"}],"doi":"10.1007/s00205-020-01548-w","quality_controlled":"1","isi":1,"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"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":["000550164400001"],"arxiv":["1907.04547"]}},{"file":[{"content_type":"application/pdf","file_size":279749,"creator":"dernst","file_name":"2020_JourStatPhysics_Lieb.pdf","access_level":"open_access","date_updated":"2020-11-19T11:13:55Z","date_created":"2020-11-19T11:13:55Z","checksum":"1e67bee6728592f7bdcea2ad2d9366dc","success":1,"relation":"main_file","file_id":"8774"}],"oa_version":"Published Version","status":"public","ddc":["510","530"],"title":"Divergence of the effective mass of a polaron in the strong coupling limit","intvolume":" 180","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"7235","abstract":[{"lang":"eng","text":"We consider the Fröhlich model of a polaron, and show that its effective mass diverges in thestrong coupling limit."}],"type":"journal_article","date_published":"2020-09-01T00:00:00Z","article_type":"original","page":"23-33","publication":"Journal of Statistical Physics","citation":{"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","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.","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","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.","short":"E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.","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.","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."},"day":"01","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","date_created":"2020-01-07T09:42:03Z","date_updated":"2023-09-05T14:57:29Z","volume":180,"author":[{"full_name":"Lieb, Elliott H.","last_name":"Lieb","first_name":"Elliott H."},{"full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"publication_status":"published","publisher":"Springer Nature","department":[{"_id":"RoSe"}],"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.","file_date_updated":"2020-11-19T11:13:55Z","ec_funded":1,"language":[{"iso":"eng"}],"doi":"10.1007/s10955-019-02322-3","quality_controlled":"1","isi":1,"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"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":["000556199700003"]},"month":"09","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]}},{"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":["000551556000006"]},"project":[{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"quality_controlled":"1","isi":1,"doi":"10.1007/s11005-020-01286-w","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"month":"03","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","author":[{"last_name":"Rademacher","first_name":"Simone Anna Elvira","orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira"}],"volume":110,"date_created":"2020-03-23T11:11:47Z","date_updated":"2023-09-05T15:14:50Z","ec_funded":1,"file_date_updated":"2020-11-20T12:04:26Z","citation":{"short":"S.A.E. Rademacher, Letters in Mathematical Physics 110 (2020) 2143–2174.","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.","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.","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","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.","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","ista":"Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 110, 2143–2174."},"publication":"Letters in Mathematical Physics","page":"2143-2174","article_type":"original","date_published":"2020-03-12T00:00:00Z","scopus_import":"1","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","day":"12","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"7611","intvolume":" 110","title":"Central limit theorem for Bose gases interacting through singular potentials","status":"public","ddc":["510"],"file":[{"access_level":"open_access","file_name":"2020_LettersMathPhysics_Rademacher.pdf","content_type":"application/pdf","file_size":478683,"creator":"dernst","relation":"main_file","file_id":"8784","checksum":"3bdd41f10ad947b67a45b98f507a7d4a","success":1,"date_created":"2020-11-20T12:04:26Z","date_updated":"2020-11-20T12:04:26Z"}],"oa_version":"Published Version","type":"journal_article","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"}]},{"related_material":{"record":[{"id":"7524","relation":"part_of_dissertation","status":"public"}]},"author":[{"first_name":"Simon","last_name":"Mayer","id":"30C4630A-F248-11E8-B48F-1D18A9856A87","full_name":"Mayer, Simon"}],"date_updated":"2023-09-07T13:12:42Z","date_created":"2020-02-24T09:17:27Z","year":"2020","department":[{"_id":"RoSe"},{"_id":"GradSch"}],"publisher":"Institute of Science and Technology Austria","publication_status":"published","ec_funded":1,"file_date_updated":"2020-07-14T12:47:59Z","doi":"10.15479/AT:ISTA:7514","language":[{"iso":"eng"}],"degree_awarded":"PhD","supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert"}],"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":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"publication_identifier":{"issn":["2663-337X"]},"month":"02","oa_version":"Published Version","file":[{"creator":"dernst","content_type":"application/pdf","file_size":1563429,"access_level":"open_access","file_name":"thesis.pdf","checksum":"b4de7579ddc1dbdd44ff3f17c48395f6","date_created":"2020-02-24T09:15:06Z","date_updated":"2020-07-14T12:47:59Z","file_id":"7515","relation":"main_file"},{"file_size":2028038,"content_type":"application/x-zip-compressed","creator":"dernst","access_level":"closed","file_name":"thesis_source.zip","checksum":"ad7425867b52d7d9e72296e87bc9cb67","date_updated":"2020-07-14T12:47:59Z","date_created":"2020-02-24T09:15:16Z","relation":"source_file","file_id":"7516"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"7514","status":"public","ddc":["510"],"title":"The free energy of a dilute two-dimensional Bose gas","abstract":[{"lang":"eng","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."}],"type":"dissertation","alternative_title":["ISTA Thesis"],"date_published":"2020-02-24T00:00:00Z","citation":{"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.","ista":"Mayer S. 2020. The free energy of a dilute two-dimensional Bose gas. Institute of Science and Technology Austria.","ama":"Mayer S. The free energy of a dilute two-dimensional Bose gas. 2020. doi:10.15479/AT:ISTA:7514","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.","short":"S. Mayer, The Free Energy of a Dilute Two-Dimensional Bose Gas, Institute of Science and Technology Austria, 2020.","mla":"Mayer, Simon. The Free Energy of a Dilute Two-Dimensional Bose Gas. Institute of Science and Technology Austria, 2020, doi:10.15479/AT:ISTA:7514."},"page":"148","article_processing_charge":"No","has_accepted_license":"1","day":"24"},{"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"8587","title":"Intermolecular forces and correlations mediated by a phonon bath","status":"public","intvolume":" 152","oa_version":"Preprint","type":"journal_article","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","publication":"The Journal of Chemical Physics","citation":{"short":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, A. Deuchert, The Journal of Chemical Physics 152 (2020).","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.","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.","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","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","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."},"article_type":"original","date_published":"2020-04-27T00:00:00Z","keyword":["Physical and Theoretical Chemistry","General Physics and Astronomy"],"day":"27","article_processing_charge":"No","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.","year":"2020","publication_status":"published","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"publisher":"AIP Publishing","author":[{"first_name":"Xiang","last_name":"Li","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","full_name":"Li, Xiang"},{"orcid":"0000-0001-5973-0874","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu","first_name":"Enderalp","full_name":"Yakaboylu, Enderalp"},{"first_name":"Giacomo","last_name":"Bighin","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8823-9777","full_name":"Bighin, Giacomo"},{"full_name":"Schmidt, Richard","first_name":"Richard","last_name":"Schmidt"},{"first_name":"Mikhail","last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail"},{"full_name":"Deuchert, Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","first_name":"Andreas","last_name":"Deuchert"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"8958"}]},"date_created":"2020-09-30T10:33:17Z","date_updated":"2023-09-07T13:16:42Z","volume":152,"article_number":"164302","ec_funded":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.02658"}],"external_id":{"isi":["000530448300001"],"arxiv":["1912.02658"]},"oa":1,"isi":1,"quality_controlled":"1","project":[{"call_identifier":"FWF","name":"Quantum rotations in the presence of a many-body environment","_id":"26031614-B435-11E9-9278-68D0E5697425","grant_number":"P29902"},{"call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle","_id":"2688CF98-B435-11E9-9278-68D0E5697425","grant_number":"801770"},{"call_identifier":"FWF","name":"A path-integral approach to composite impurities","_id":"26986C82-B435-11E9-9278-68D0E5697425","grant_number":"M02641"},{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"doi":"10.1063/1.5144759","language":[{"iso":"eng"}],"month":"04","publication_identifier":{"eissn":["1089-7690"],"issn":["0021-9606"]}},{"ec_funded":1,"license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","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.","year":"2020","department":[{"_id":"RoSe"}],"publisher":"Society for Industrial & Applied Mathematics ","publication_status":"published","related_material":{"record":[{"id":"9733","status":"public","relation":"dissertation_contains"}]},"author":[{"full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli","first_name":"Dario"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer"}],"volume":52,"date_created":"2021-08-06T07:34:16Z","date_updated":"2023-09-07T13:30:11Z","publication_identifier":{"eissn":["1095-7154"],"issn":["0036-1410"]},"month":"02","external_id":{"arxiv":["1904.08647 "],"isi":["000546967700022"]},"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":[{"open_access":"1","url":"https://arxiv.org/abs/1904.08647"}],"oa":1,"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"isi":1,"quality_controlled":"1","doi":"10.1137/19m126284x","language":[{"iso":"eng"}],"type":"journal_article","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."}],"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","oa_version":"Preprint","scopus_import":"1","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"has_accepted_license":"1","article_processing_charge":"No","day":"12","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.","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.","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","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","date_published":"2020-02-12T00:00:00Z"},{"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":[{"full_name":"Mysliwy, Krzysztof","last_name":"Mysliwy","first_name":"Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"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,"file_date_updated":"2020-10-27T12:49:04Z","ec_funded":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":["000578111800002"],"arxiv":["2003.12371"]},"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"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"name":"International IST Doctoral Program","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385"}],"doi":"10.1007/s00023-020-00969-3","language":[{"iso":"eng"}],"month":"12","publication_identifier":{"issn":["1424-0637"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"8705","status":"public","title":"Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit","ddc":["530"],"intvolume":" 21","file":[{"date_updated":"2020-10-27T12:49:04Z","date_created":"2020-10-27T12:49:04Z","success":1,"checksum":"c12c9c1e6f08def245e42f3cb1d83827","file_id":"8711","relation":"main_file","creator":"cziletti","content_type":"application/pdf","file_size":469831,"file_name":"2020_Annales_Mysliwy.pdf","access_level":"open_access"}],"oa_version":"Published Version","type":"journal_article","abstract":[{"lang":"eng","text":"We consider the quantum mechanical many-body problem of a single impurity particle immersed in a weakly interacting Bose gas. The impurity interacts with the bosons via a two-body potential. We study the Hamiltonian of this system in the mean-field limit and rigorously show that, at low energies, the problem is well described by the Fröhlich polaron model."}],"issue":"12","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.","ieee":"K. Mysliwy and R. Seiringer, “Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit,” Annales Henri Poincare, vol. 21, no. 12. Springer Nature, pp. 4003–4025, 2020.","apa":"Mysliwy, K., & Seiringer, R. (2020). Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-020-00969-3","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","scopus_import":"1","day":"01","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)"}]