[{"date_published":"2021-01-01T00:00:00Z","external_id":{"arxiv":["1910.08190"],"isi":["000613313200010"]},"oa_version":"Preprint","author":[{"orcid":"0000-0002-1071-6091","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","last_name":"Benedikter","full_name":"Benedikter, Niels P","first_name":"Niels P"}],"publication":"Reviews in Mathematical Physics","issue":"1","publisher":"World Scientific","doi":"10.1142/s0129055x20600090","type":"journal_article","arxiv":1,"language":[{"iso":"eng"}],"article_processing_charge":"No","main_file_link":[{"url":"https://arxiv.org/abs/1910.08190","open_access":"1"}],"scopus_import":"1","publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"date_updated":"2023-09-05T16:07:40Z","year":"2021","date_created":"2020-05-28T16:47:55Z","quality_controlled":"1","isi":1,"volume":33,"department":[{"_id":"RoSe"}],"_id":"7900","month":"01","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_type":"original","publication_status":"published","title":"Bosonic collective excitations in Fermi gases","oa":1,"day":"01","citation":{"mla":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1, 2060009, World Scientific, 2021, doi:<a href=\"https://doi.org/10.1142/s0129055x20600090\">10.1142/s0129055x20600090</a>.","ieee":"N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1. World Scientific, 2021.","chicago":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews in Mathematical Physics</i>. World Scientific, 2021. <a href=\"https://doi.org/10.1142/s0129055x20600090\">https://doi.org/10.1142/s0129055x20600090</a>.","apa":"Benedikter, N. P. (2021). Bosonic collective excitations in Fermi gases. <i>Reviews in Mathematical Physics</i>. World Scientific. <a href=\"https://doi.org/10.1142/s0129055x20600090\">https://doi.org/10.1142/s0129055x20600090</a>","ista":"Benedikter NP. 2021. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 33(1), 2060009.","ama":"Benedikter NP. Bosonic collective excitations in Fermi gases. <i>Reviews in Mathematical Physics</i>. 2021;33(1). doi:<a href=\"https://doi.org/10.1142/s0129055x20600090\">10.1142/s0129055x20600090</a>","short":"N.P. Benedikter, Reviews in Mathematical Physics 33 (2021)."},"intvolume":"        33","ec_funded":1,"abstract":[{"text":"Hartree–Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization of many-body correlations has been rigorously justified as an upper bound on the correlation energy at high density with weak interactions. We review the bosonic approximation, deriving an effective Hamiltonian. We then show that for systems with Coulomb interaction this effective theory predicts collective excitations (plasmons) in accordance with the random phase approximation of Bohm and Pines, and with experimental observation.","lang":"eng"}],"status":"public","article_number":"2060009"},{"publication":"Inventiones Mathematicae","ddc":["510"],"author":[{"full_name":"Benedikter, Niels P","first_name":"Niels P","last_name":"Benedikter","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091"},{"last_name":"Nam","first_name":"Phan Thành","full_name":"Nam, Phan Thành"},{"first_name":"Marcello","full_name":"Porta, Marcello","last_name":"Porta"},{"full_name":"Schlein, Benjamin","first_name":"Benjamin","last_name":"Schlein"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"external_id":{"isi":["000646573600001"],"arxiv":["2005.08933"]},"oa_version":"Published Version","date_published":"2021-05-03T00:00:00Z","arxiv":1,"language":[{"iso":"eng"}],"file_date_updated":"2022-05-16T12:23:40Z","type":"journal_article","doi":"10.1007/s00222-021-01041-5","publisher":"Springer","publication_identifier":{"issn":["0020-9910"],"eissn":["1432-1297"]},"scopus_import":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes (via OA deal)","volume":225,"isi":1,"file":[{"content_type":"application/pdf","date_created":"2022-05-16T12:23:40Z","file_id":"11386","access_level":"open_access","date_updated":"2022-05-16T12:23:40Z","success":1,"file_name":"2021_InventMath_Benedikter.pdf","file_size":1089319,"creator":"dernst","relation":"main_file","checksum":"f38c79dfd828cdc7f49a34b37b83d376"}],"quality_controlled":"1","page":"885-979","date_created":"2020-05-28T16:48:20Z","year":"2021","date_updated":"2023-08-21T06:30:30Z","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020"}],"department":[{"_id":"RoSe"}],"acknowledgement":"We thank Christian Hainzl for helpful discussions and a referee for very careful reading of the paper and many helpful suggestions. NB and RS were supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 694227). Part of the research of NB was conducted on the RZD18 Nice–Milan–Vienna–Moscow. NB thanks Elliott H. Lieb and Peter Otte for explanations about the Luttinger model. PTN has received funding from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP acknowledges financial support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, grant agreement No. 802901). BS gratefully acknowledges financial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS (grant agreement No. 834782). All authors acknowledge support for workshop participation from Mathematisches Forschungsinstitut Oberwolfach (Leibniz Association). NB, PTN, BS, and RS acknowledge support for workshop participation from Fondation des Treilles.","title":"Correlation energy of a weakly interacting Fermi gas","oa":1,"publication_status":"published","article_type":"original","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","month":"05","_id":"7901","intvolume":"       225","citation":{"chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>. Springer, 2021. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R. (2021). Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. Springer. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas,” <i>Inventiones Mathematicae</i>, vol. 225. Springer, pp. 885–979, 2021.","mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>, vol. 225, Springer, 2021, pp. 885–979, doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. 2021;225:885-979. doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>"},"day":"03","has_accepted_license":"1","status":"public","abstract":[{"text":"We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree–Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy.","lang":"eng"}],"ec_funded":1},{"language":[{"iso":"eng"}],"arxiv":1,"type":"journal_article","doi":"10.2140/paa.2021.3.653","publisher":"Mathematical Sciences Publishers","issue":"4","publication":"Pure and Applied Analysis","author":[{"orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold","full_name":"Leopold, Nikolai K","first_name":"Nikolai K"},{"last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","first_name":"Simone Anna Elvira","full_name":"Rademacher, Simone Anna Elvira"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert"}],"external_id":{"arxiv":["2005.02098"]},"oa_version":"Preprint","date_published":"2021-10-01T00:00:00Z","volume":3,"date_created":"2024-01-28T23:01:43Z","year":"2021","quality_controlled":"1","page":"653-676","project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"date_updated":"2024-02-05T10:02:45Z","publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2005.02098"}],"scopus_import":"1","article_processing_charge":"No","publication_status":"published","oa":1,"title":"Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron","article_type":"original","_id":"14889","month":"10","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"RoSe"}],"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.","status":"public","abstract":[{"lang":"eng","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."}],"ec_funded":1,"citation":{"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,” <i>Pure and Applied Analysis</i>, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 653–676, 2021.","mla":"Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” <i>Pure and Applied Analysis</i>, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:<a href=\"https://doi.org/10.2140/paa.2021.3.653\">10.2140/paa.2021.3.653</a>.","apa":"Leopold, N. K., Mitrouskas, D. J., Rademacher, S. A. E., Schlein, B., &#38; Seiringer, R. (2021). Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2021.3.653\">https://doi.org/10.2140/paa.2021.3.653</a>","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.","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.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/paa.2021.3.653\">https://doi.org/10.2140/paa.2021.3.653</a>.","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. <i>Pure and Applied Analysis</i>. 2021;3(4):653-676. doi:<a href=\"https://doi.org/10.2140/paa.2021.3.653\">10.2140/paa.2021.3.653</a>","short":"N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676."},"intvolume":"         3","day":"01"},{"scopus_import":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1912.11004","open_access":"1"}],"publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"article_processing_charge":"No","volume":3,"date_updated":"2024-02-05T09:26:31Z","project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"quality_controlled":"1","page":"677-726","date_created":"2024-01-28T23:01:43Z","year":"2021","author":[{"full_name":"Bossmann, Lea","first_name":"Lea","last_name":"Bossmann","orcid":"0000-0002-6854-1343","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425"},{"orcid":"0000-0002-9166-5889","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","first_name":"Sören P","full_name":"Petrat, Sören P","last_name":"Petrat"},{"last_name":"Pickl","first_name":"Peter","full_name":"Pickl, Peter"},{"last_name":"Soffer","full_name":"Soffer, Avy","first_name":"Avy"}],"issue":"4","publication":"Pure and Applied Analysis","date_published":"2021-10-01T00:00:00Z","external_id":{"arxiv":["1912.11004"]},"oa_version":"Preprint","type":"journal_article","arxiv":1,"language":[{"iso":"eng"}],"publisher":"Mathematical Sciences Publishers","doi":"10.2140/paa.2021.3.677","intvolume":"         3","citation":{"ieee":"L. Bossmann, S. P. Petrat, P. Pickl, and A. Soffer, “Beyond Bogoliubov dynamics,” <i>Pure and Applied Analysis</i>, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 677–726, 2021.","mla":"Bossmann, Lea, et al. “Beyond Bogoliubov Dynamics.” <i>Pure and Applied Analysis</i>, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 677–726, doi:<a href=\"https://doi.org/10.2140/paa.2021.3.677\">10.2140/paa.2021.3.677</a>.","apa":"Bossmann, L., Petrat, S. P., Pickl, P., &#38; Soffer, A. (2021). Beyond Bogoliubov dynamics. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2021.3.677\">https://doi.org/10.2140/paa.2021.3.677</a>","chicago":"Bossmann, Lea, Sören P Petrat, Peter Pickl, and Avy Soffer. “Beyond Bogoliubov Dynamics.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/paa.2021.3.677\">https://doi.org/10.2140/paa.2021.3.677</a>.","ista":"Bossmann L, Petrat SP, Pickl P, Soffer A. 2021. Beyond Bogoliubov dynamics. Pure and Applied Analysis. 3(4), 677–726.","ama":"Bossmann L, Petrat SP, Pickl P, Soffer A. Beyond Bogoliubov dynamics. <i>Pure and Applied Analysis</i>. 2021;3(4):677-726. doi:<a href=\"https://doi.org/10.2140/paa.2021.3.677\">10.2140/paa.2021.3.677</a>","short":"L. Bossmann, S.P. Petrat, P. Pickl, A. Soffer, Pure and Applied Analysis 3 (2021) 677–726."},"day":"01","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."}],"status":"public","ec_funded":1,"acknowledgement":"We are grateful for the hospitality of Central China Normal University (CCNU),\r\nwhere parts of this work were done, and thank Phan Th`anh Nam, Simone\r\nRademacher, Robert Seiringer and Stefan Teufel for helpful discussions. L.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research\r\nTraining Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and the funding\r\nfrom the European Union’s Horizon 2020 research and innovation programme under the Marie\r\nSk lodowska-Curie Grant Agreement No. 754411.","department":[{"_id":"RoSe"}],"article_type":"original","oa":1,"title":"Beyond Bogoliubov dynamics","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"10","_id":"14890"},{"ec_funded":1,"abstract":[{"text":"We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.","lang":"eng"}],"status":"public","has_accepted_license":"1","day":"25","citation":{"short":"D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906.","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>Archive for Rational Mechanics and Analysis</i>. 2021;242(3):1835–1906. doi:<a href=\"https://doi.org/10.1007/s00205-021-01715-7\">10.1007/s00205-021-01715-7</a>","chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00205-021-01715-7\">https://doi.org/10.1007/s00205-021-01715-7</a>.","apa":"Feliciangeli, D., &#38; Seiringer, R. (2021). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-021-01715-7\">https://doi.org/10.1007/s00205-021-01715-7</a>","ista":"Feliciangeli D, Seiringer R. 2021. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. 242(3), 1835–1906.","mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 242, no. 3, Springer Nature, 2021, pp. 1835–1906, doi:<a href=\"https://doi.org/10.1007/s00205-021-01715-7\">10.1007/s00205-021-01715-7</a>.","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 242, no. 3. Springer Nature, pp. 1835–1906, 2021."},"intvolume":"       242","month":"10","_id":"10224","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_type":"original","publication_status":"published","oa":1,"related_material":{"record":[{"id":"9787","status":"public","relation":"earlier_version"}]},"title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.7.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","department":[{"_id":"RoSe"}],"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"date_updated":"2023-08-14T10:32:19Z","year":"2021","date_created":"2021-11-07T23:01:26Z","quality_controlled":"1","page":"1835–1906","isi":1,"file":[{"relation":"main_file","checksum":"672e9c21b20f1a50854b7c821edbb92f","file_size":990529,"creator":"alisjak","file_name":"2021_Springer_Feliciangeli.pdf","content_type":"application/pdf","date_created":"2021-12-14T08:35:42Z","file_id":"10544","access_level":"open_access","success":1,"date_updated":"2021-12-14T08:35:42Z"}],"volume":242,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes (via OA deal)","scopus_import":"1","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"publisher":"Springer Nature","doi":"10.1007/s00205-021-01715-7","type":"journal_article","file_date_updated":"2021-12-14T08:35:42Z","arxiv":1,"language":[{"iso":"eng"}],"date_published":"2021-10-25T00:00:00Z","external_id":{"arxiv":["2101.12566"],"isi":["000710850600001"]},"oa_version":"Published Version","author":[{"orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli","full_name":"Feliciangeli, Dario","first_name":"Dario"},{"full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"ddc":["530"],"issue":"3","publication":"Archive for Rational Mechanics and Analysis"},{"ec_funded":1,"status":"public","abstract":[{"text":"We consider the quantum many-body evolution of a homogeneous Fermi gas in three dimensions in the coupled semiclassical and mean-field scaling regime. We study a class of initial data describing collective particle–hole pair excitations on the Fermi ball. Using a rigorous version of approximate bosonization, we prove that the many-body evolution can be approximated in Fock space norm by a quasi-free bosonic evolution of the collective particle–hole excitations.","lang":"eng"}],"day":"02","citation":{"ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Bosonization of fermionic many-body dynamics. <i>Annales Henri Poincaré</i>. 2021. doi:<a href=\"https://doi.org/10.1007/s00023-021-01136-y\">10.1007/s00023-021-01136-y</a>","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré (2021).","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Bosonization of fermionic many-body dynamics,” <i>Annales Henri Poincaré</i>. Springer Nature, 2021.","mla":"Benedikter, Niels P., et al. “Bosonization of Fermionic Many-Body Dynamics.” <i>Annales Henri Poincaré</i>, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s00023-021-01136-y\">10.1007/s00023-021-01136-y</a>.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R. (2021). Bosonization of fermionic many-body dynamics. <i>Annales Henri Poincaré</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-021-01136-y\">https://doi.org/10.1007/s00023-021-01136-y</a>","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Bosonization of Fermionic Many-Body Dynamics.” <i>Annales Henri Poincaré</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00023-021-01136-y\">https://doi.org/10.1007/s00023-021-01136-y</a>.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","month":"12","_id":"10537","oa":1,"title":"Bosonization of fermionic many-body dynamics","publication_status":"published","article_type":"original","acknowledgement":"NB was supported by Gruppo Nazionale per la Fisica Matematica (GNFM). RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 694227). PTN was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (ERC StG MaMBoQ, Grant Agreement No. 802901). BS was supported by the NCCR SwissMAP, the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates,” and the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program through the ERC-AdG CLaQS (Grant Agreement No. 834782).","department":[{"_id":"RoSe"}],"quality_controlled":"1","year":"2021","date_created":"2021-12-12T23:01:28Z","date_updated":"2023-08-17T06:19:14Z","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"isi":1,"article_processing_charge":"No","publication_identifier":{"issn":["1424-0637"]},"scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2103.08224"}],"doi":"10.1007/s00023-021-01136-y","publisher":"Springer Nature","arxiv":1,"language":[{"iso":"eng"}],"type":"journal_article","oa_version":"Preprint","external_id":{"arxiv":["2103.08224"],"isi":["000725405700001"]},"date_published":"2021-12-02T00:00:00Z","publication":"Annales Henri Poincaré","author":[{"full_name":"Benedikter, Niels P","first_name":"Niels P","last_name":"Benedikter","orcid":"0000-0002-1071-6091","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Phan Thành","full_name":"Nam, Phan Thành","last_name":"Nam"},{"full_name":"Porta, Marcello","first_name":"Marcello","last_name":"Porta"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"},{"first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}]},{"day":"02","has_accepted_license":"1","keyword":["anyons","quasiparticles","Quantum Hall Effect","topological states of matter"],"intvolume":"         9","citation":{"ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 9(4), 106.","apa":"Brooks, M., Lemeshko, M., Lundholm, D., &#38; Yakaboylu, E. (2021). Emergence of anyons on the two-sphere in molecular impurities. <i>Atoms</i>. MDPI. <a href=\"https://doi.org/10.3390/atoms9040106\">https://doi.org/10.3390/atoms9040106</a>","chicago":"Brooks, Morris, Mikhail Lemeshko, Douglas Lundholm, and Enderalp Yakaboylu. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” <i>Atoms</i>. MDPI, 2021. <a href=\"https://doi.org/10.3390/atoms9040106\">https://doi.org/10.3390/atoms9040106</a>.","mla":"Brooks, Morris, et al. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” <i>Atoms</i>, vol. 9, no. 4, 106, MDPI, 2021, doi:<a href=\"https://doi.org/10.3390/atoms9040106\">10.3390/atoms9040106</a>.","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Emergence of anyons on the two-sphere in molecular impurities,” <i>Atoms</i>, vol. 9, no. 4. MDPI, 2021.","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Atoms 9 (2021).","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Emergence of anyons on the two-sphere in molecular impurities. <i>Atoms</i>. 2021;9(4). doi:<a href=\"https://doi.org/10.3390/atoms9040106\">10.3390/atoms9040106</a>"},"status":"public","article_number":"106","abstract":[{"text":"Recently it was shown that anyons on the two-sphere naturally arise from a system of molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev. Lett. 126, 015301 (2021)). Here we further advance this approach and rigorously demonstrate that in the experimentally realized regime the lowest spectrum of two linear molecules immersed in superfluid helium corresponds to the spectrum of two anyons on the sphere. We develop the formalism within the framework of the recently experimentally observed angulon quasiparticle","lang":"eng"}],"acknowledgement":"D. Lundholm acknowledges financial support from the Göran Gustafsson Foundation (grant no. 1804).","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"_id":"10585","month":"12","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publication_status":"published","title":"Emergence of anyons on the two-sphere in molecular impurities","oa":1,"article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes","publication_identifier":{"eissn":["2218-2004"]},"scopus_import":"1","date_created":"2022-01-02T23:01:33Z","year":"2021","quality_controlled":"1","date_updated":"2023-06-15T14:51:49Z","file":[{"creator":"alisjak","file_size":303070,"checksum":"d0e44b95f36c9e06724f66832af0f8c3","relation":"main_file","success":1,"date_updated":"2022-01-03T10:15:05Z","access_level":"open_access","file_id":"10592","date_created":"2022-01-03T10:15:05Z","content_type":"application/pdf","file_name":"2021_Atoms_Brooks.pdf"}],"volume":9,"oa_version":"Published Version","external_id":{"arxiv":["2108.06966"]},"date_published":"2021-12-02T00:00:00Z","publication":"Atoms","issue":"4","author":[{"last_name":"Brooks","first_name":"Morris","full_name":"Brooks, Morris","orcid":"0000-0002-6249-0928","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425"},{"full_name":"Lemeshko, Mikhail","first_name":"Mikhail","last_name":"Lemeshko","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Lundholm","first_name":"Douglas","full_name":"Lundholm, Douglas"},{"orcid":"0000-0001-5973-0874","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","full_name":"Yakaboylu, Enderalp","first_name":"Enderalp","last_name":"Yakaboylu"}],"ddc":["530"],"doi":"10.3390/atoms9040106","publisher":"MDPI","language":[{"iso":"eng"}],"arxiv":1,"type":"journal_article","file_date_updated":"2022-01-03T10:15:05Z"},{"date_updated":"2023-10-17T11:26:45Z","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"page":"2079-2100","quality_controlled":"1","year":"2021","date_created":"2022-02-06T23:01:33Z","volume":14,"isi":1,"article_processing_charge":"No","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.12532"}],"publication_identifier":{"eissn":["1948-206X"],"issn":["2157-5045"]},"publisher":"Mathematical Sciences Publishers","doi":"10.2140/APDE.2021.14.2079","type":"journal_article","arxiv":1,"language":[{"iso":"eng"}],"date_published":"2021-11-10T00:00:00Z","oa_version":"Preprint","external_id":{"arxiv":["1904.12532"],"isi":["000733976600004"]},"author":[{"orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K","full_name":"Leopold, Nikolai K","last_name":"Leopold"},{"id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira"},{"full_name":"Schlein, Benjamin","first_name":"Benjamin","last_name":"Schlein"},{"first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publication":"Analysis and PDE","issue":"7","ec_funded":1,"abstract":[{"text":"We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results on the accuracy of their use as effective equations for the time evolution generated by the Fröhlich Hamiltonian with large coupling constant α. In particular, we show that the time evolution of Pekar product states with coherent phonon field and the electron being trapped by the phonons is well approximated by the Landau–Pekar equations until times short compared to α2.","lang":"eng"}],"status":"public","day":"10","citation":{"ama":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R.  The Landau–Pekar equations: Adiabatic theorem and accuracy. <i>Analysis and PDE</i>. 2021;14(7):2079-2100. doi:<a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">10.2140/APDE.2021.14.2079</a>","short":"N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.","mla":"Leopold, Nikolai K., et al. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” <i>Analysis and PDE</i>, vol. 14, no. 7, Mathematical Sciences Publishers, 2021, pp. 2079–100, doi:<a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">10.2140/APDE.2021.14.2079</a>.","ieee":"N. K. Leopold, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “ The Landau–Pekar equations: Adiabatic theorem and accuracy,” <i>Analysis and PDE</i>, vol. 14, no. 7. Mathematical Sciences Publishers, pp. 2079–2100, 2021.","ista":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R. 2021.  The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 14(7), 2079–2100.","apa":"Leopold, N. K., Rademacher, S. A. E., Schlein, B., &#38; Seiringer, R. (2021).  The Landau–Pekar equations: Adiabatic theorem and accuracy. <i>Analysis and PDE</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">https://doi.org/10.2140/APDE.2021.14.2079</a>","chicago":"Leopold, Nikolai K, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” <i>Analysis and PDE</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">https://doi.org/10.2140/APDE.2021.14.2079</a>."},"intvolume":"        14","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"11","_id":"10738","article_type":"original","title":" The Landau–Pekar equations: Adiabatic theorem and accuracy","oa":1,"publication_status":"published","department":[{"_id":"RoSe"}],"acknowledgement":"N. L. and R. S. gratefully acknowledge financial support by the European Research Council\r\n(ERC) under the European Union’s Horizon 2020 research and innovation programme (grant\r\nagreement No 694227). B. S. acknowledges support from the Swiss National Science Foundation (grant 200020_172623) and from the NCCR SwissMAP. N. L. would like to thank\r\nAndreas Deuchert and David Mitrouskas for interesting discussions. B. S. and R. S. would\r\nlike to thank Rupert Frank for stimulating discussions about the time-evolution of a polaron.\r\n"},{"article_number":"109096","status":"public","abstract":[{"lang":"eng","text":"We consider a system of N trapped bosons with repulsive interactions in a combined semiclassical mean-field limit at positive temperature. We show that the free energy is well approximated by the minimum of the Hartree free energy functional – a natural extension of the Hartree energy functional to positive temperatures. The Hartree free energy functional converges in the same limit to a semiclassical free energy functional, and we show that the system displays Bose–Einstein condensation if and only if it occurs in the semiclassical free energy functional. This allows us to show that for weak coupling the critical temperature decreases due to the repulsive interactions."}],"ec_funded":1,"citation":{"ieee":"A. Deuchert and R. Seiringer, “Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons,” <i>Journal of Functional Analysis</i>, vol. 281, no. 6. Elsevier, 2021.","mla":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” <i>Journal of Functional Analysis</i>, vol. 281, no. 6, 109096, Elsevier, 2021, doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">10.1016/j.jfa.2021.109096</a>.","apa":"Deuchert, A., &#38; Seiringer, R. (2021). Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">https://doi.org/10.1016/j.jfa.2021.109096</a>","ista":"Deuchert A, Seiringer R. 2021. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 281(6), 109096.","chicago":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” <i>Journal of Functional Analysis</i>. Elsevier, 2021. <a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">https://doi.org/10.1016/j.jfa.2021.109096</a>.","ama":"Deuchert A, Seiringer R. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. <i>Journal of Functional Analysis</i>. 2021;281(6). doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">10.1016/j.jfa.2021.109096</a>","short":"A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021)."},"intvolume":"       281","day":"15","oa":1,"title":"Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons","publication_status":"published","article_type":"original","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9462","month":"09","department":[{"_id":"RoSe"}],"acknowledgement":"Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 (R.S.) and under the Marie Sklodowska-Curie grant agreement No 836146 (A.D.) is gratefully acknowledged. A.D. acknowledges support of the Swiss National Science Foundation through the Ambizione grant PZ00P2 185851.","volume":281,"isi":1,"quality_controlled":"1","year":"2021","date_created":"2021-06-06T22:01:28Z","date_updated":"2023-08-08T13:56:27Z","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2009.00992"}],"article_processing_charge":"No","arxiv":1,"language":[{"iso":"eng"}],"type":"journal_article","doi":"10.1016/j.jfa.2021.109096","publisher":"Elsevier","issue":"6","publication":"Journal of Functional Analysis","author":[{"full_name":"Deuchert, Andreas","first_name":"Andreas","last_name":"Deuchert"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"oa_version":"Preprint","external_id":{"arxiv":["2009.00992"],"isi":["000656508600008"]},"date_published":"2021-09-15T00:00:00Z"},{"file_date_updated":"2022-03-10T12:13:57Z","type":"dissertation","language":[{"iso":"eng"}],"publisher":"Institute of Science and Technology Austria","doi":"10.15479/at:ista:9733","ddc":["515","519","539"],"author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","first_name":"Dario","last_name":"Feliciangeli"}],"date_published":"2021-08-20T00:00:00Z","oa_version":"Published Version","license":"https://creativecommons.org/licenses/by-nd/4.0/","file":[{"relation":"main_file","checksum":"e88bb8ca43948abe060eb2d2fa719881","file_size":1958710,"creator":"dfelicia","file_name":"Thesis_FeliciangeliA.pdf","file_id":"9944","content_type":"application/pdf","date_created":"2021-08-19T14:03:48Z","date_updated":"2021-09-06T09:28:56Z","access_level":"open_access"},{"file_size":3771669,"creator":"dfelicia","relation":"source_file","checksum":"72810843abee83705853505b3f8348aa","date_created":"2021-08-19T14:06:35Z","content_type":"application/octet-stream","file_id":"9945","date_updated":"2022-03-10T12:13:57Z","access_level":"closed","file_name":"thesis.7z"}],"date_updated":"2024-03-06T12:30:44Z","project":[{"call_identifier":"H2020","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425"},{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"}],"page":"180","date_created":"2021-07-27T15:48:30Z","year":"2021","publication_identifier":{"issn":["2663-337X"]},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","image":"/image/cc_by_nd.png","short":"CC BY-ND (4.0)"},"article_processing_charge":"No","oa":1,"related_material":{"record":[{"id":"9787","relation":"part_of_dissertation","status":"public"},{"relation":"part_of_dissertation","status":"public","id":"9792"},{"id":"9225","relation":"part_of_dissertation","status":"public"},{"id":"9781","status":"public","relation":"part_of_dissertation"},{"id":"9791","status":"public","relation":"part_of_dissertation"}]},"title":"The polaron at strong coupling","publication_status":"published","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"9733","month":"08","alternative_title":["ISTA Thesis"],"department":[{"_id":"GradSch"},{"_id":"RoSe"},{"_id":"JaMa"}],"abstract":[{"lang":"eng","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."}],"status":"public","ec_funded":1,"degree_awarded":"PhD","citation":{"ama":"Feliciangeli D. The polaron at strong coupling. 2021. doi:<a href=\"https://doi.org/10.15479/at:ista:9733\">10.15479/at:ista:9733</a>","short":"D. Feliciangeli, The Polaron at Strong Coupling, Institute of Science and Technology Austria, 2021.","mla":"Feliciangeli, Dario. <i>The Polaron at Strong Coupling</i>. Institute of Science and Technology Austria, 2021, doi:<a href=\"https://doi.org/10.15479/at:ista:9733\">10.15479/at:ista:9733</a>.","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.","chicago":"Feliciangeli, Dario. “The Polaron at Strong Coupling.” Institute of Science and Technology Austria, 2021. <a href=\"https://doi.org/10.15479/at:ista:9733\">https://doi.org/10.15479/at:ista:9733</a>.","apa":"Feliciangeli, D. (2021). <i>The polaron at strong coupling</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:9733\">https://doi.org/10.15479/at:ista:9733</a>"},"supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer"},{"orcid":"0000-0002-0845-1338","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","last_name":"Maas","first_name":"Jan","full_name":"Maas, Jan"}],"has_accepted_license":"1","day":"20"},{"oa_version":"Preprint","external_id":{"arxiv":["2101.12566"]},"date_published":"2021-02-01T00:00:00Z","publication":"arXiv","author":[{"last_name":"Feliciangeli","first_name":"Dario","full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"ddc":["510"],"arxiv":1,"language":[{"iso":"eng"}],"type":"preprint","article_processing_charge":"No","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2101.12566"}],"date_created":"2021-08-06T08:25:57Z","year":"2021","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"date_updated":"2023-09-07T13:30:10Z","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.1.\r\n","department":[{"_id":"RoSe"}],"month":"02","_id":"9787","user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","publication_status":"submitted","title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","oa":1,"related_material":{"record":[{"relation":"later_version","status":"public","id":"10224"},{"id":"9733","relation":"dissertation_contains","status":"public"}]},"day":"01","has_accepted_license":"1","citation":{"apa":"Feliciangeli, D., &#38; Seiringer, R. (n.d.). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>arXiv</i>.","chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>ArXiv</i>, n.d.","ista":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv, 2101.12566.","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” <i>arXiv</i>. .","mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>ArXiv</i>, 2101.12566.","short":"D. Feliciangeli, R. Seiringer, ArXiv (n.d.).","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>arXiv</i>."},"ec_funded":1,"status":"public","article_number":"2101.12566","abstract":[{"text":"We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.","lang":"eng"}]},{"type":"preprint","arxiv":1,"publication_status":"submitted","language":[{"iso":"eng"}],"title":"The effective mass problem for the Landau-Pekar equations","related_material":{"record":[{"relation":"later_version","status":"public","id":"10755"},{"id":"9733","status":"public","relation":"dissertation_contains"}]},"oa":1,"_id":"9791","month":"07","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"full_name":"Feliciangeli, Dario","first_name":"Dario","last_name":"Feliciangeli","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira","full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher"},{"first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"ddc":["510"],"publication":"arXiv","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..","department":[{"_id":"RoSe"}],"date_published":"2021-07-08T00:00:00Z","oa_version":"Preprint","external_id":{"arxiv":["2107.03720"]},"abstract":[{"lang":"eng","text":"We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by Landau and Pekar."}],"status":"public","article_number":"2107.03720 ","project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"date_updated":"2024-03-06T12:30:45Z","ec_funded":1,"year":"2021","date_created":"2021-08-06T08:49:45Z","main_file_link":[{"url":"https://arxiv.org/abs/2107.03720","open_access":"1"}],"citation":{"ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. <i>arXiv</i>.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).","mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>ArXiv</i>, 2107.03720.","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” <i>arXiv</i>. .","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., &#38; Seiringer, R. (n.d.). The effective mass problem for the Landau-Pekar equations. <i>arXiv</i>.","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>ArXiv</i>, n.d."},"article_processing_charge":"No","day":"08"},{"year":"2021","date_created":"2021-08-06T09:07:12Z","date_updated":"2023-11-14T13:21:01Z","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425"},{"name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2106.11217"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"No","arxiv":1,"language":[{"iso":"eng"}],"type":"preprint","doi":"10.48550/arXiv.2106.11217","publication":"arXiv","ddc":["510"],"author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","first_name":"Dario","last_name":"Feliciangeli"},{"last_name":"Gerolin","full_name":"Gerolin, Augusto","first_name":"Augusto"},{"last_name":"Portinale","full_name":"Portinale, Lorenzo","first_name":"Lorenzo","id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"arxiv":["2106.11217"]},"oa_version":"Preprint","date_published":"2021-07-21T00:00:00Z","article_number":"2106.11217","status":"public","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."}],"ec_funded":1,"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.","apa":"Feliciangeli, D., Gerolin, A., &#38; Portinale, L. (n.d.). A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2106.11217\">https://doi.org/10.48550/arXiv.2106.11217</a>","chicago":"Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2106.11217\">https://doi.org/10.48550/arXiv.2106.11217</a>.","mla":"Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” <i>ArXiv</i>, 2106.11217, doi:<a href=\"https://doi.org/10.48550/arXiv.2106.11217\">10.48550/arXiv.2106.11217</a>.","ieee":"D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” <i>arXiv</i>. .","short":"D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.).","ama":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2106.11217\">10.48550/arXiv.2106.11217</a>"},"day":"21","has_accepted_license":"1","oa":1,"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"9733"},{"id":"10030","status":"public","relation":"dissertation_contains"},{"status":"public","relation":"later_version","id":"12911"}]},"title":"A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature","publication_status":"submitted","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"9792","month":"07","department":[{"_id":"RoSe"},{"_id":"JaMa"}],"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]."},{"has_accepted_license":"1","day":"01","intvolume":"        62","citation":{"ieee":"A. B. Lauritsen, “Floating Wigner crystal and periodic jellium configurations,” <i>Journal of Mathematical Physics</i>, vol. 62, no. 8. AIP Publishing, 2021.","mla":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” <i>Journal of Mathematical Physics</i>, vol. 62, no. 8, 083305, AIP Publishing, 2021, doi:<a href=\"https://doi.org/10.1063/5.0053494\">10.1063/5.0053494</a>.","apa":"Lauritsen, A. B. (2021). Floating Wigner crystal and periodic jellium configurations. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0053494\">https://doi.org/10.1063/5.0053494</a>","ista":"Lauritsen AB. 2021. Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. 62(8), 083305.","chicago":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2021. <a href=\"https://doi.org/10.1063/5.0053494\">https://doi.org/10.1063/5.0053494</a>.","ama":"Lauritsen AB. Floating Wigner crystal and periodic jellium configurations. <i>Journal of Mathematical Physics</i>. 2021;62(8). doi:<a href=\"https://doi.org/10.1063/5.0053494\">10.1063/5.0053494</a>","short":"A.B. Lauritsen, Journal of Mathematical Physics 62 (2021)."},"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"abstract":[{"text":"Extending on ideas of Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)], we present a modified “floating crystal” trial state for jellium (also known as the classical homogeneous electron gas) with density equal to a characteristic function. This allows us to show that three definitions of the jellium energy coincide in dimensions d ≥ 2, thus extending the result of Cotar and Petrache [“Equality of the Jellium and uniform electron gas next-order asymptotic terms for Coulomb and Riesz potentials,” arXiv: 1707.07664 (2019)] and Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)] that the three definitions coincide in dimension d ≥ 3. We show that the jellium energy is also equivalent to a “renormalized energy” studied in a series of papers by Serfaty and others, and thus, by the work of Bétermin and Sandier [Constr. Approximation 47, 39–74 (2018)], we relate the jellium energy to the order n term in the logarithmic energy of n points on the unit 2-sphere. We improve upon known lower bounds for this renormalized energy. Additionally, we derive formulas for the jellium energy of periodic configurations.","lang":"eng"}],"article_number":"083305","status":"public","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"acknowledgement":"The author would like to thank Robert Seiringer for guidance and many helpful comments on this project. The author would also like to thank Mathieu Lewin for his comments on the manuscript and Lorenzo Portinale for providing his lecture notes for the course “Mathematics of quantum many-body systems” in spring 2020, taught by Robert Seiringer. The Proof of Theorem III.1 is inspired by these lecture notes.","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","month":"08","_id":"9891","article_type":"original","title":"Floating Wigner crystal and periodic jellium configurations","oa":1,"publication_status":"published","article_processing_charge":"No","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"scopus_import":"1","publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"date_updated":"2023-08-11T10:29:48Z","quality_controlled":"1","year":"2021","date_created":"2021-08-12T07:08:36Z","volume":62,"file":[{"creator":"cziletti","file_size":4352640,"checksum":"d035be2b894c4d50d90ac5ce252e27cd","relation":"main_file","date_updated":"2021-10-27T12:57:06Z","access_level":"open_access","success":1,"date_created":"2021-10-27T12:57:06Z","file_id":"10188","content_type":"application/pdf","file_name":"2021_JMathPhy_Lauritsen.pdf"}],"isi":1,"date_published":"2021-08-01T00:00:00Z","oa_version":"Published Version","external_id":{"arxiv":["2103.07975"],"isi":["000683960800003"]},"ddc":["530"],"author":[{"last_name":"Lauritsen","full_name":"Lauritsen, Asbjørn Bækgaard","first_name":"Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","orcid":"0000-0003-4476-2288"}],"publication":"Journal of Mathematical Physics","issue":"8","publisher":"AIP Publishing","doi":"10.1063/5.0053494","file_date_updated":"2021-10-27T12:57:06Z","type":"journal_article","arxiv":1,"language":[{"iso":"eng"}]},{"_id":"10852","month":"02","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_type":"original","publication_status":"published","oa":1,"title":"The polaron at strong coupling","department":[{"_id":"RoSe"}],"acknowledgement":"This work was supported by the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo. 694227).","ec_funded":1,"abstract":[{"text":" We review old and new results on the Fröhlich polaron model. The discussion includes the validity of the (classical) Pekar approximation in the strong coupling limit, quantum corrections to this limit, as well as the divergence of the effective polaron mass.","lang":"eng"}],"status":"public","article_number":"2060012","day":"01","citation":{"short":"R. Seiringer, Reviews in Mathematical Physics 33 (2021).","ama":"Seiringer R. The polaron at strong coupling. <i>Reviews in Mathematical Physics</i>. 2021;33(01). doi:<a href=\"https://doi.org/10.1142/s0129055x20600120\">10.1142/s0129055x20600120</a>","chicago":"Seiringer, Robert. “The Polaron at Strong Coupling.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/s0129055x20600120\">https://doi.org/10.1142/s0129055x20600120</a>.","ista":"Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical Physics. 33(01), 2060012.","apa":"Seiringer, R. (2021). The polaron at strong coupling. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s0129055x20600120\">https://doi.org/10.1142/s0129055x20600120</a>","ieee":"R. Seiringer, “The polaron at strong coupling,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01. World Scientific Publishing, 2021.","mla":"Seiringer, Robert. “The Polaron at Strong Coupling.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/s0129055x20600120\">10.1142/s0129055x20600120</a>."},"intvolume":"        33","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"publisher":"World Scientific Publishing","doi":"10.1142/s0129055x20600120","type":"journal_article","language":[{"iso":"eng"}],"arxiv":1,"date_published":"2021-02-01T00:00:00Z","oa_version":"Preprint","external_id":{"isi":["000613313200013"],"arxiv":["1912.12509"]},"author":[{"full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"issue":"01","publication":"Reviews in Mathematical Physics","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020"}],"date_updated":"2023-09-05T16:08:02Z","year":"2021","date_created":"2022-03-18T08:11:34Z","quality_controlled":"1","isi":1,"volume":33,"article_processing_charge":"No","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.12509"}],"scopus_import":"1","publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]}},{"day":"27","intvolume":"       152","citation":{"chicago":"Li, Xiang, Enderalp Yakaboylu, Giacomo Bighin, Richard Schmidt, Mikhail Lemeshko, and Andreas Deuchert. “Intermolecular Forces and Correlations Mediated by a Phonon Bath.” <i>The Journal of Chemical Physics</i>. AIP Publishing, 2020. <a href=\"https://doi.org/10.1063/1.5144759\">https://doi.org/10.1063/1.5144759</a>.","apa":"Li, X., Yakaboylu, E., Bighin, G., Schmidt, R., Lemeshko, M., &#38; Deuchert, A. (2020). Intermolecular forces and correlations mediated by a phonon bath. <i>The Journal of Chemical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/1.5144759\">https://doi.org/10.1063/1.5144759</a>","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.","mla":"Li, Xiang, et al. “Intermolecular Forces and Correlations Mediated by a Phonon Bath.” <i>The Journal of Chemical Physics</i>, vol. 152, no. 16, 164302, AIP Publishing, 2020, doi:<a href=\"https://doi.org/10.1063/1.5144759\">10.1063/1.5144759</a>.","ieee":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, and A. Deuchert, “Intermolecular forces and correlations mediated by a phonon bath,” <i>The Journal of Chemical Physics</i>, vol. 152, no. 16. AIP Publishing, 2020.","short":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, A. Deuchert, The Journal of Chemical Physics 152 (2020).","ama":"Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. Intermolecular forces and correlations mediated by a phonon bath. <i>The Journal of Chemical Physics</i>. 2020;152(16). doi:<a href=\"https://doi.org/10.1063/1.5144759\">10.1063/1.5144759</a>"},"keyword":["Physical and Theoretical Chemistry","General Physics and Astronomy"],"ec_funded":1,"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"}],"article_number":"164302","status":"public","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.","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","month":"04","_id":"8587","article_type":"original","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"8958"}]},"oa":1,"title":"Intermolecular forces and correlations mediated by a phonon bath","publication_status":"published","article_processing_charge":"No","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.02658"}],"publication_identifier":{"eissn":["1089-7690"],"issn":["0021-9606"]},"date_updated":"2024-08-07T07:16:53Z","project":[{"call_identifier":"FWF","_id":"26031614-B435-11E9-9278-68D0E5697425","name":"Quantum rotations in the presence of a many-body environment","grant_number":"P29902"},{"call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle","grant_number":"801770","_id":"2688CF98-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","_id":"26986C82-B435-11E9-9278-68D0E5697425","grant_number":"M02641","name":"A path-integral approach to composite impurities"},{"call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"quality_controlled":"1","year":"2020","date_created":"2020-09-30T10:33:17Z","volume":152,"isi":1,"date_published":"2020-04-27T00:00:00Z","external_id":{"isi":["000530448300001"],"arxiv":["1912.02658"]},"oa_version":"Preprint","author":[{"id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","first_name":"Xiang","full_name":"Li, Xiang","last_name":"Li"},{"id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5973-0874","last_name":"Yakaboylu","full_name":"Yakaboylu, Enderalp","first_name":"Enderalp"},{"first_name":"Giacomo","full_name":"Bighin, Giacomo","last_name":"Bighin","orcid":"0000-0001-8823-9777","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Richard","full_name":"Schmidt, Richard","last_name":"Schmidt"},{"orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail","full_name":"Lemeshko, Mikhail","last_name":"Lemeshko"},{"orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","full_name":"Deuchert, Andreas","first_name":"Andreas","last_name":"Deuchert"}],"issue":"16","publication":"The Journal of Chemical Physics","publisher":"AIP Publishing","doi":"10.1063/1.5144759","type":"journal_article","arxiv":1,"language":[{"iso":"eng"}]},{"has_accepted_license":"1","day":"01","intvolume":"        21","citation":{"ista":"Mysliwy K, Seiringer R. 2020. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 21(12), 4003–4025.","chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” <i>Annales Henri Poincare</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s00023-020-00969-3\">https://doi.org/10.1007/s00023-020-00969-3</a>.","apa":"Mysliwy, K., &#38; Seiringer, R. (2020). Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-020-00969-3\">https://doi.org/10.1007/s00023-020-00969-3</a>","ieee":"K. Mysliwy and R. Seiringer, “Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit,” <i>Annales Henri Poincare</i>, vol. 21, no. 12. Springer Nature, pp. 4003–4025, 2020.","mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” <i>Annales Henri Poincare</i>, vol. 21, no. 12, Springer Nature, 2020, pp. 4003–25, doi:<a href=\"https://doi.org/10.1007/s00023-020-00969-3\">10.1007/s00023-020-00969-3</a>.","short":"K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.","ama":"Mysliwy K, Seiringer R. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. <i>Annales Henri Poincare</i>. 2020;21(12):4003-4025. doi:<a href=\"https://doi.org/10.1007/s00023-020-00969-3\">10.1007/s00023-020-00969-3</a>"},"ec_funded":1,"abstract":[{"text":"We consider the quantum mechanical many-body problem of a single impurity particle immersed in a weakly interacting Bose gas. The impurity interacts with the bosons via a two-body potential. We study the Hamiltonian of this system in the mean-field limit and rigorously show that, at low energies, the problem is well described by the Fröhlich polaron model.","lang":"eng"}],"status":"public","department":[{"_id":"RoSe"}],"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)","_id":"8705","month":"12","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_type":"original","publication_status":"published","oa":1,"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"11473"}]},"title":"Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes (via OA deal)","scopus_import":"1","publication_identifier":{"issn":["1424-0637"]},"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"call_identifier":"H2020","name":"International IST Doctoral Program","grant_number":"665385","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"}],"date_updated":"2023-09-07T13:43:51Z","year":"2020","date_created":"2020-10-25T23:01:19Z","page":"4003-4025","quality_controlled":"1","file":[{"checksum":"c12c9c1e6f08def245e42f3cb1d83827","relation":"main_file","creator":"cziletti","file_size":469831,"file_name":"2020_Annales_Mysliwy.pdf","access_level":"open_access","date_updated":"2020-10-27T12:49:04Z","success":1,"date_created":"2020-10-27T12:49:04Z","file_id":"8711","content_type":"application/pdf"}],"isi":1,"volume":21,"date_published":"2020-12-01T00:00:00Z","external_id":{"arxiv":["2003.12371"],"isi":["000578111800002"]},"oa_version":"Published Version","author":[{"last_name":"Mysliwy","first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"ddc":["530"],"publication":"Annales Henri Poincare","issue":"12","publisher":"Springer Nature","doi":"10.1007/s00023-020-00969-3","type":"journal_article","file_date_updated":"2020-10-27T12:49:04Z","language":[{"iso":"eng"}],"arxiv":1},{"volume":102,"isi":1,"date_updated":"2023-09-05T12:12:30Z","project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"call_identifier":"H2020","_id":"2688CF98-B435-11E9-9278-68D0E5697425","grant_number":"801770","name":"Angulon: physics and applications of a new quasiparticle"}],"quality_controlled":"1","date_created":"2020-11-18T07:34:17Z","year":"2020","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1912.07890","open_access":"1"}],"publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"article_processing_charge":"No","type":"journal_article","arxiv":1,"language":[{"iso":"eng"}],"publisher":"American Physical Society","doi":"10.1103/physrevb.102.144109","author":[{"orcid":"0000-0001-5973-0874","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","last_name":"Yakaboylu","full_name":"Yakaboylu, Enderalp","first_name":"Enderalp"},{"full_name":"Ghazaryan, Areg","first_name":"Areg","last_name":"Ghazaryan","id":"4AF46FD6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-9666-3543"},{"first_name":"D.","full_name":"Lundholm, D.","last_name":"Lundholm"},{"first_name":"N.","full_name":"Rougerie, N.","last_name":"Rougerie"},{"last_name":"Lemeshko","full_name":"Lemeshko, Mikhail","first_name":"Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer"}],"issue":"14","publication":"Physical Review B","date_published":"2020-10-01T00:00:00Z","external_id":{"arxiv":["1912.07890"],"isi":["000582563300001"]},"oa_version":"Preprint","abstract":[{"lang":"eng","text":"One of the hallmarks of quantum statistics, tightly entwined with the concept of topological phases of matter, is the prediction of anyons. Although anyons are predicted to be realized in certain fractional quantum Hall systems, they have not yet been unambiguously detected in experiment. Here we introduce a simple quantum impurity model, where bosonic or fermionic impurities turn into anyons as a consequence of their interaction with the surrounding many-particle bath. A cloud of phonons dresses each impurity in such a way that it effectively attaches fluxes or vortices to it and thereby converts it into an Abelian anyon. The corresponding quantum impurity model, first, provides a different approach to the numerical solution of the many-anyon problem, along with a concrete perspective of anyons as emergent quasiparticles built from composite bosons or fermions. More importantly, the model paves the way toward realizing anyons using impurities in crystal lattices as well as ultracold gases. In particular, we consider two heavy electrons interacting with a two-dimensional lattice crystal in a magnetic field, and show that when the impurity-bath system is rotated at the cyclotron frequency, impurities behave as anyons as a consequence of the angular momentum exchange between the impurities and the bath. A possible experimental realization is proposed by identifying the statistics parameter in terms of the mean-square distance of the impurities and the magnetization of the impurity-bath system, both of which are accessible to experiment. Another proposed application is impurities immersed in a two-dimensional weakly interacting Bose gas."}],"article_number":"144109","status":"public","ec_funded":1,"citation":{"ama":"Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R. Quantum impurity model for anyons. <i>Physical Review B</i>. 2020;102(14). doi:<a href=\"https://doi.org/10.1103/physrevb.102.144109\">10.1103/physrevb.102.144109</a>","short":"E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).","ieee":"E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, and R. Seiringer, “Quantum impurity model for anyons,” <i>Physical Review B</i>, vol. 102, no. 14. American Physical Society, 2020.","mla":"Yakaboylu, Enderalp, et al. “Quantum Impurity Model for Anyons.” <i>Physical Review B</i>, vol. 102, no. 14, 144109, American Physical Society, 2020, doi:<a href=\"https://doi.org/10.1103/physrevb.102.144109\">10.1103/physrevb.102.144109</a>.","apa":"Yakaboylu, E., Ghazaryan, A., Lundholm, D., Rougerie, N., Lemeshko, M., &#38; Seiringer, R. (2020). Quantum impurity model for anyons. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevb.102.144109\">https://doi.org/10.1103/physrevb.102.144109</a>","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.","chicago":"Yakaboylu, Enderalp, Areg Ghazaryan, D. Lundholm, N. Rougerie, Mikhail Lemeshko, and Robert Seiringer. “Quantum Impurity Model for Anyons.” <i>Physical Review B</i>. American Physical Society, 2020. <a href=\"https://doi.org/10.1103/physrevb.102.144109\">https://doi.org/10.1103/physrevb.102.144109</a>."},"intvolume":"       102","day":"01","article_type":"original","oa":1,"title":"Quantum impurity model for anyons","publication_status":"published","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","month":"10","_id":"8769","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"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)."},{"department":[{"_id":"RoSe"}],"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.","oa":1,"title":"Divergence of the effective mass of a polaron in the strong coupling limit","publication_status":"published","article_type":"original","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","month":"09","_id":"7235","citation":{"mla":"Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” <i>Journal of Statistical Physics</i>, vol. 180, Springer Nature, 2020, pp. 23–33, doi:<a href=\"https://doi.org/10.1007/s10955-019-02322-3\">10.1007/s10955-019-02322-3</a>.","ieee":"E. H. Lieb and R. Seiringer, “Divergence of the effective mass of a polaron in the strong coupling limit,” <i>Journal of Statistical Physics</i>, vol. 180. Springer Nature, pp. 23–33, 2020.","apa":"Lieb, E. H., &#38; Seiringer, R. (2020). Divergence of the effective mass of a polaron in the strong coupling limit. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-019-02322-3\">https://doi.org/10.1007/s10955-019-02322-3</a>","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.","chicago":"Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” <i>Journal of Statistical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s10955-019-02322-3\">https://doi.org/10.1007/s10955-019-02322-3</a>.","ama":"Lieb EH, Seiringer R. Divergence of the effective mass of a polaron in the strong coupling limit. <i>Journal of Statistical Physics</i>. 2020;180:23-33. doi:<a href=\"https://doi.org/10.1007/s10955-019-02322-3\">10.1007/s10955-019-02322-3</a>","short":"E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33."},"intvolume":"       180","day":"01","has_accepted_license":"1","status":"public","abstract":[{"lang":"eng","text":"We consider the Fröhlich model of a polaron, and show that its effective mass diverges in thestrong coupling limit."}],"ec_funded":1,"publication":"Journal of Statistical Physics","ddc":["510","530"],"author":[{"full_name":"Lieb, Elliott H.","first_name":"Elliott H.","last_name":"Lieb"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"oa_version":"Published Version","external_id":{"isi":["000556199700003"]},"date_published":"2020-09-01T00:00:00Z","language":[{"iso":"eng"}],"file_date_updated":"2020-11-19T11:13:55Z","type":"journal_article","doi":"10.1007/s10955-019-02322-3","publisher":"Springer Nature","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"scopus_import":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes (via OA deal)","volume":180,"file":[{"file_size":279749,"creator":"dernst","relation":"main_file","checksum":"1e67bee6728592f7bdcea2ad2d9366dc","content_type":"application/pdf","date_created":"2020-11-19T11:13:55Z","file_id":"8774","access_level":"open_access","date_updated":"2020-11-19T11:13:55Z","success":1,"file_name":"2020_JourStatPhysics_Lieb.pdf"}],"isi":1,"page":"23-33","quality_controlled":"1","date_created":"2020-01-07T09:42:03Z","year":"2020","date_updated":"2023-09-05T14:57:29Z","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","grant_number":"694227"}]},{"arxiv":1,"language":[{"iso":"eng"}],"file_date_updated":"2020-11-20T09:26:46Z","type":"journal_article","doi":"10.1007/s10955-020-02500-8","publisher":"Springer Nature","publication":"Journal of Statistical Physics","ddc":["510"],"author":[{"orcid":"0000-0002-6854-1343","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","full_name":"Bossmann, Lea","first_name":"Lea","last_name":"Bossmann"},{"last_name":"Pavlović","full_name":"Pavlović, Nataša","first_name":"Nataša"},{"first_name":"Peter","full_name":"Pickl, Peter","last_name":"Pickl"},{"last_name":"Soffer","first_name":"Avy","full_name":"Soffer, Avy"}],"external_id":{"arxiv":["1905.06164"],"isi":["000516342200001"]},"oa_version":"Published Version","date_published":"2020-02-21T00:00:00Z","volume":178,"isi":1,"file":[{"checksum":"643e230bf147e64d9cdb3f6cc573679d","relation":"main_file","creator":"dernst","file_size":576726,"file_name":"2020_JournStatPhysics_Bossmann.pdf","access_level":"open_access","date_updated":"2020-11-20T09:26:46Z","success":1,"file_id":"8780","content_type":"application/pdf","date_created":"2020-11-20T09:26:46Z"}],"page":"1362-1396","quality_controlled":"1","year":"2020","date_created":"2020-02-23T09:45:51Z","date_updated":"2023-08-18T06:37:46Z","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"scopus_import":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes (via OA deal)","oa":1,"title":"Higher order corrections to the mean-field description of the dynamics of interacting bosons","publication_status":"published","article_type":"original","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"7508","month":"02","department":[{"_id":"RoSe"}],"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.","status":"public","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."}],"ec_funded":1,"intvolume":"       178","citation":{"chicago":"Bossmann, Lea, Nataša Pavlović, Peter Pickl, and Avy Soffer. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” <i>Journal of Statistical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s10955-020-02500-8\">https://doi.org/10.1007/s10955-020-02500-8</a>.","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.","apa":"Bossmann, L., Pavlović, N., Pickl, P., &#38; Soffer, A. (2020). Higher order corrections to the mean-field description of the dynamics of interacting bosons. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-020-02500-8\">https://doi.org/10.1007/s10955-020-02500-8</a>","ieee":"L. Bossmann, N. Pavlović, P. Pickl, and A. Soffer, “Higher order corrections to the mean-field description of the dynamics of interacting bosons,” <i>Journal of Statistical Physics</i>, vol. 178. Springer Nature, pp. 1362–1396, 2020.","mla":"Bossmann, Lea, et al. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” <i>Journal of Statistical Physics</i>, vol. 178, Springer Nature, 2020, pp. 1362–96, doi:<a href=\"https://doi.org/10.1007/s10955-020-02500-8\">10.1007/s10955-020-02500-8</a>.","short":"L. Bossmann, N. Pavlović, P. Pickl, A. Soffer, Journal of Statistical Physics 178 (2020) 1362–1396.","ama":"Bossmann L, Pavlović N, Pickl P, Soffer A. Higher order corrections to the mean-field description of the dynamics of interacting bosons. <i>Journal of Statistical Physics</i>. 2020;178:1362-1396. doi:<a href=\"https://doi.org/10.1007/s10955-020-02500-8\">10.1007/s10955-020-02500-8</a>"},"day":"21","has_accepted_license":"1"}]