[{"ddc":["510","530"],"volume":190,"acknowledgement":"LE, JH, and VR were supported by ERC Advanced Grant “RMTBeyond” No. 101020331. SS was supported by KAKENHI Grant Number JP22J14935 from the Japan Society for the Promotion of Science (JSPS) and Forefront Physics and Mathematics Program to Drive Transformation (FoPM), a World-leading Innovative Graduate Study (WINGS) Program, the University of Tokyo.\r\nOpen access funding provided by The University of Tokyo.","external_id":{"arxiv":["2304.04213"],"isi":["001035677200002"]},"isi":1,"citation":{"ieee":"S. Sugimoto, S. J. Henheik, V. Riabov, and L. Erdös, “Eigenstate thermalisation hypothesis for translation invariant spin systems,” <i>Journal of Statistical Physics</i>, vol. 190, no. 7. Springer Nature, 2023.","chicago":"Sugimoto, Shoki, Sven Joscha Henheik, Volodymyr Riabov, and László Erdös. “Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems.” <i>Journal of Statistical Physics</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s10955-023-03132-4\">https://doi.org/10.1007/s10955-023-03132-4</a>.","apa":"Sugimoto, S., Henheik, S. J., Riabov, V., &#38; Erdös, L. (2023). Eigenstate thermalisation hypothesis for translation invariant spin systems. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-023-03132-4\">https://doi.org/10.1007/s10955-023-03132-4</a>","ama":"Sugimoto S, Henheik SJ, Riabov V, Erdös L. Eigenstate thermalisation hypothesis for translation invariant spin systems. <i>Journal of Statistical Physics</i>. 2023;190(7). doi:<a href=\"https://doi.org/10.1007/s10955-023-03132-4\">10.1007/s10955-023-03132-4</a>","ista":"Sugimoto S, Henheik SJ, Riabov V, Erdös L. 2023. Eigenstate thermalisation hypothesis for translation invariant spin systems. Journal of Statistical Physics. 190(7), 128.","short":"S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics 190 (2023).","mla":"Sugimoto, Shoki, et al. “Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems.” <i>Journal of Statistical Physics</i>, vol. 190, no. 7, 128, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s10955-023-03132-4\">10.1007/s10955-023-03132-4</a>."},"year":"2023","date_updated":"2023-12-13T11:38:44Z","abstract":[{"lang":"eng","text":"We prove the Eigenstate Thermalisation Hypothesis (ETH) for local observables in a typical translation invariant system of quantum spins with L-body interactions, where L is the number of spins. This mathematically verifies the observation first made by Santos and Rigol (Phys Rev E 82(3):031130, 2010, https://doi.org/10.1103/PhysRevE.82.031130) that the ETH may hold for systems with additional translational symmetries for a naturally restricted class of observables. We also present numerical support for the same phenomenon for Hamiltonians with local interaction."}],"day":"21","arxiv":1,"doi":"10.1007/s10955-023-03132-4","file_date_updated":"2023-07-31T07:49:31Z","ec_funded":1,"quality_controlled":"1","article_type":"original","publisher":"Springer Nature","issue":"7","author":[{"first_name":"Shoki","last_name":"Sugimoto","full_name":"Sugimoto, Shoki"},{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","first_name":"Sven Joscha","full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X"},{"first_name":"Volodymyr","last_name":"Riabov","full_name":"Riabov, Volodymyr","id":"1949f904-edfb-11eb-afb5-e2dfddabb93b"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","orcid":"0000-0001-5366-9603","last_name":"Erdös","first_name":"László"}],"scopus_import":"1","_id":"13317","intvolume":"       190","title":"Eigenstate thermalisation hypothesis for translation invariant spin systems","date_created":"2023-07-30T22:01:02Z","department":[{"_id":"LaEr"}],"article_processing_charge":"Yes (in subscription journal)","publication_status":"published","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"date_created":"2023-07-31T07:49:31Z","file_size":612755,"checksum":"c2ef6b2aecfee1ad6d03fab620507c2c","date_updated":"2023-07-31T07:49:31Z","file_name":"2023_JourStatPhysics_Sugimoto.pdf","content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"file_id":"13325","creator":"dernst"}],"type":"journal_article","date_published":"2023-07-21T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"language":[{"iso":"eng"}],"has_accepted_license":"1","publication":"Journal of Statistical Physics","article_number":"128","month":"07","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020"}],"oa_version":"Published Version"},{"date_created":"2022-08-05T11:36:56Z","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"publication_status":"published","intvolume":"       189","title":"The BCS energy gap at high density","scopus_import":"1","_id":"11732","author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","last_name":"Henheik"},{"first_name":"Asbjørn Bækgaard","last_name":"Lauritsen","orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1"}],"publisher":"Springer Nature","article_type":"original","ec_funded":1,"quality_controlled":"1","file_date_updated":"2022-08-08T07:36:34Z","day":"29","doi":"10.1007/s10955-022-02965-9","abstract":[{"lang":"eng","text":"We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (Math. Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities, we prove the universality of the ratio of the energy gap and the critical temperature."}],"citation":{"short":"S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).","mla":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” <i>Journal of Statistical Physics</i>, vol. 189, 5, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-022-02965-9\">10.1007/s10955-022-02965-9</a>.","ista":"Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5.","ama":"Henheik SJ, Lauritsen AB. The BCS energy gap at high density. <i>Journal of Statistical Physics</i>. 2022;189. doi:<a href=\"https://doi.org/10.1007/s10955-022-02965-9\">10.1007/s10955-022-02965-9</a>","apa":"Henheik, S. J., &#38; Lauritsen, A. B. (2022). The BCS energy gap at high density. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-022-02965-9\">https://doi.org/10.1007/s10955-022-02965-9</a>","chicago":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-022-02965-9\">https://doi.org/10.1007/s10955-022-02965-9</a>.","ieee":"S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” <i>Journal of Statistical Physics</i>, vol. 189. Springer Nature, 2022."},"year":"2022","date_updated":"2023-09-05T14:57:49Z","external_id":{"isi":["000833007200002"]},"isi":1,"acknowledgement":"We are grateful to Robert Seiringer for helpful discussions and many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open access funding provided by Institute of Science and Technology (IST Austria)","volume":189,"ddc":["530"],"project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020"}],"oa_version":"Published Version","article_number":"5","month":"07","has_accepted_license":"1","publication":"Journal of Statistical Physics","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"oa":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"journal_article","date_published":"2022-07-29T00:00:00Z","file":[{"file_id":"11746","creator":"dernst","access_level":"open_access","relation":"main_file","success":1,"date_updated":"2022-08-08T07:36:34Z","file_name":"2022_JourStatisticalPhysics_Henheik.pdf","content_type":"application/pdf","date_created":"2022-08-08T07:36:34Z","file_size":419563,"checksum":"b398c4dbf65f71d417981d6e366427e9"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public"},{"file_date_updated":"2022-02-02T14:24:41Z","quality_controlled":"1","ec_funded":1,"article_type":"original","publisher":"Springer Nature","issue":"1","author":[{"id":"316457FC-F248-11E8-B48F-1D18A9856A87","last_name":"Mysliwy","first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer"}],"scopus_import":"1","_id":"10564","intvolume":"       186","title":"Polaron models with regular interactions at strong coupling","department":[{"_id":"RoSe"}],"date_created":"2021-12-19T23:01:32Z","article_processing_charge":"Yes (via OA deal)","publication_status":"published","ddc":["530"],"acknowledgement":"Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant Agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant Agreement No. 665386 (K.M.) is gratefully acknowledged. Open access funding provided by Institute of Science and Technology (IST Austria).","volume":186,"external_id":{"arxiv":["2106.09328"],"isi":["000726275600001"]},"isi":1,"citation":{"mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>, vol. 186, no. 1, 5, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>.","short":"K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).","ista":"Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5.","ama":"Mysliwy K, Seiringer R. Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. 2022;186(1). doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>","apa":"Mysliwy, K., &#38; Seiringer, R. (2022). Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>","ieee":"K. Mysliwy and R. Seiringer, “Polaron models with regular interactions at strong coupling,” <i>Journal of Statistical Physics</i>, vol. 186, no. 1. Springer Nature, 2022.","chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>."},"year":"2022","date_updated":"2023-09-07T13:43:51Z","abstract":[{"lang":"eng","text":"We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interaction term. We investigate the strong-coupling limit of the model, and prove suitable bounds on the ground state energy as a function of the total momentum of the system. These bounds agree with the semiclassical approximation to leading order. The latter corresponds here to the situation when the particle undergoes harmonic motion in a potential well whose frequency is determined by the corresponding Pekar functional. We show that for all such models the effective mass diverges in the strong coupling limit, in all spatial dimensions. Moreover, for the case when the phonon dispersion relation grows at least linearly with momentum, the bounds result in an asymptotic formula for the effective mass quotient, a quantity generalizing the usual notion of the effective mass. This asymptotic form agrees with the semiclassical Landau–Pekar formula and can be regarded as the first rigorous confirmation, in a slightly weaker sense than usually considered, of the validity of the semiclassical formula for the effective mass."}],"day":"01","arxiv":1,"doi":"10.1007/s10955-021-02851-w","language":[{"iso":"eng"}],"has_accepted_license":"1","publication":"Journal of Statistical Physics","article_number":"5","month":"01","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"name":"International IST Doctoral Program","grant_number":"665385","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"oa_version":"Published Version","related_material":{"record":[{"id":"11473","relation":"dissertation_contains","status":"public"}]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","file":[{"creator":"cchlebak","file_id":"10716","success":1,"access_level":"open_access","relation":"main_file","file_name":"2022_JournalStatPhys_Myśliwy.pdf","content_type":"application/pdf","date_updated":"2022-02-02T14:24:41Z","checksum":"da03f6d293c4b9802091bce9471b1d29","file_size":434957,"date_created":"2022-02-02T14:24:41Z"}],"type":"journal_article","date_published":"2022-01-01T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]}},{"article_number":"9","month":"07","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"},{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"oa_version":"Published Version","has_accepted_license":"1","publication":"Journal of Statistical Physics","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"oa":1,"publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"type":"journal_article","date_published":"2022-07-01T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","file":[{"relation":"main_file","success":1,"access_level":"open_access","creator":"dernst","file_id":"11922","file_size":483481,"checksum":"44418cb44f07fa21ed3907f85abf7f39","date_created":"2022-08-18T08:09:00Z","content_type":"application/pdf","file_name":"2022_JournalStatisticalPhysics_Rademacher.pdf","date_updated":"2022-08-18T08:09:00Z"}],"intvolume":"       188","title":"Large deviation estimates for weakly interacting bosons","department":[{"_id":"RoSe"}],"article_processing_charge":"Yes (via OA deal)","date_created":"2022-08-18T07:23:26Z","publication_status":"published","author":[{"id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466","last_name":"Rademacher","first_name":"Simone Anna Elvira"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"scopus_import":"1","_id":"11917","article_type":"original","publisher":"Springer Nature","file_date_updated":"2022-08-18T08:09:00Z","quality_controlled":"1","ec_funded":1,"abstract":[{"text":"We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the condensate. We derive an upper bound extending a recent result to more general interactions. Furthermore, we derive a new lower bound which agrees with the upper bound in leading order.","lang":"eng"}],"day":"01","doi":"10.1007/s10955-022-02940-4","external_id":{"isi":["000805175000001"]},"isi":1,"citation":{"ista":"Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 188, 9.","mla":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” <i>Journal of Statistical Physics</i>, vol. 188, 9, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-022-02940-4\">10.1007/s10955-022-02940-4</a>.","short":"S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).","ieee":"S. A. E. Rademacher and R. Seiringer, “Large deviation estimates for weakly interacting bosons,” <i>Journal of Statistical Physics</i>, vol. 188. Springer Nature, 2022.","chicago":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-022-02940-4\">https://doi.org/10.1007/s10955-022-02940-4</a>.","apa":"Rademacher, S. A. E., &#38; Seiringer, R. (2022). Large deviation estimates for weakly interacting bosons. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-022-02940-4\">https://doi.org/10.1007/s10955-022-02940-4</a>","ama":"Rademacher SAE, Seiringer R. Large deviation estimates for weakly interacting bosons. <i>Journal of Statistical Physics</i>. 2022;188. doi:<a href=\"https://doi.org/10.1007/s10955-022-02940-4\">10.1007/s10955-022-02940-4</a>"},"year":"2022","date_updated":"2023-08-03T12:55:58Z","ddc":["510"],"acknowledgement":"The authors thank Gérard Ben Arous for pointing out the question of a lower bound. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No. 694227 (R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged.\r\nOpen access funding provided by IST Austria.","volume":188},{"external_id":{"isi":["000556199700003"]},"isi":1,"year":"2020","citation":{"short":"E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.","mla":"Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” <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>.","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.","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>","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>","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>.","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."},"date_updated":"2023-09-05T14:57:29Z","abstract":[{"text":"We consider the Fröhlich model of a polaron, and show that its effective mass diverges in thestrong coupling limit.","lang":"eng"}],"day":"01","doi":"10.1007/s10955-019-02322-3","ddc":["510","530"],"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227; R.S.) is gratefully acknowledged.","volume":180,"author":[{"last_name":"Lieb","first_name":"Elliott H.","full_name":"Lieb, Elliott H."},{"last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"scopus_import":"1","_id":"7235","intvolume":"       180","title":"Divergence of the effective mass of a polaron in the strong coupling limit","date_created":"2020-01-07T09:42:03Z","department":[{"_id":"RoSe"}],"article_processing_charge":"Yes (via OA deal)","publication_status":"published","file_date_updated":"2020-11-19T11:13:55Z","quality_controlled":"1","ec_funded":1,"page":"23-33","article_type":"original","publisher":"Springer Nature","type":"journal_article","date_published":"2020-09-01T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","file":[{"success":1,"relation":"main_file","access_level":"open_access","file_id":"8774","creator":"dernst","date_created":"2020-11-19T11:13:55Z","file_size":279749,"checksum":"1e67bee6728592f7bdcea2ad2d9366dc","date_updated":"2020-11-19T11:13:55Z","file_name":"2020_JourStatPhysics_Lieb.pdf","content_type":"application/pdf"}],"has_accepted_license":"1","publication":"Journal of Statistical Physics","month":"09","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"oa_version":"Published Version","language":[{"iso":"eng"}]},{"author":[{"last_name":"Bossmann","first_name":"Lea","full_name":"Bossmann, Lea","orcid":"0000-0002-6854-1343","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425"},{"full_name":"Pavlović, Nataša","first_name":"Nataša","last_name":"Pavlović"},{"last_name":"Pickl","first_name":"Peter","full_name":"Pickl, Peter"},{"full_name":"Soffer, Avy","first_name":"Avy","last_name":"Soffer"}],"scopus_import":"1","_id":"7508","intvolume":"       178","title":"Higher order corrections to the mean-field description of the dynamics of interacting bosons","department":[{"_id":"RoSe"}],"article_processing_charge":"Yes (via OA deal)","date_created":"2020-02-23T09:45:51Z","publication_status":"published","file_date_updated":"2020-11-20T09:26:46Z","ec_funded":1,"quality_controlled":"1","page":"1362-1396","article_type":"original","publisher":"Springer Nature","external_id":{"isi":["000516342200001"],"arxiv":["1905.06164"]},"isi":1,"year":"2020","citation":{"short":"L. Bossmann, N. Pavlović, P. Pickl, A. Soffer, Journal of Statistical Physics 178 (2020) 1362–1396.","mla":"Bossmann, Lea, et al. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” <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>.","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>","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>","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>.","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."},"date_updated":"2023-08-18T06:37:46Z","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."}],"day":"21","doi":"10.1007/s10955-020-02500-8","arxiv":1,"ddc":["510"],"volume":178,"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.","has_accepted_license":"1","publication":"Journal of Statistical Physics","month":"02","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"oa_version":"Published Version","language":[{"iso":"eng"}],"type":"journal_article","date_published":"2020-02-21T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"date_updated":"2020-11-20T09:26:46Z","content_type":"application/pdf","file_name":"2020_JournStatPhysics_Bossmann.pdf","date_created":"2020-11-20T09:26:46Z","file_size":576726,"checksum":"643e230bf147e64d9cdb3f6cc573679d","file_id":"8780","creator":"dernst","success":1,"access_level":"open_access","relation":"main_file"}]},{"main_file_link":[{"url":"https://link.springer.com/article/10.1007/BF01334766"}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","status":"public","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"publist_id":"4171","type":"journal_article","date_published":"1990-06-01T00:00:00Z","language":[{"iso":"eng"}],"oa_version":"None","month":"06","publication":"Journal of Statistical Physics","volume":59,"extern":"1","day":"01","doi":"10.1007/BF01334766","abstract":[{"text":"We consider a multidimensional system consisting of a particle of mass M and radius r (molecule), surrounded by an infinite ideal gas of point particles of mass m (atoms). The molecule is confined to the unit ball and interacts with its boundary (barrier) via elastic collision, while the atoms are not affected by the boundary. We obtain convergence to equilibrium for the molecule from almost every initial distribution on its position and velocity. Furthermore, we prove that the infinite composite system of the molecule and the atoms is Bernoulli.","lang":"eng"}],"year":"1990","citation":{"ama":"Erdös L, Tuyen D. Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier. <i>Journal of Statistical Physics</i>. 1990;59(5-6):1589-1602. doi:<a href=\"https://doi.org/10.1007/BF01334766\">10.1007/BF01334766</a>","apa":"Erdös, L., &#38; Tuyen, D. (1990). Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/BF01334766\">https://doi.org/10.1007/BF01334766</a>","chicago":"Erdös, László, and Dao Tuyen. “Ergodic Properties of the Multidimensional Rayleigh Gas with a Semipermeable Barrier.” <i>Journal of Statistical Physics</i>. Springer, 1990. <a href=\"https://doi.org/10.1007/BF01334766\">https://doi.org/10.1007/BF01334766</a>.","ieee":"L. Erdös and D. Tuyen, “Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier,” <i>Journal of Statistical Physics</i>, vol. 59, no. 5–6. Springer, pp. 1589–1602, 1990.","short":"L. Erdös, D. Tuyen, Journal of Statistical Physics 59 (1990) 1589–1602.","mla":"Erdös, László, and Dao Tuyen. “Ergodic Properties of the Multidimensional Rayleigh Gas with a Semipermeable Barrier.” <i>Journal of Statistical Physics</i>, vol. 59, no. 5–6, Springer, 1990, pp. 1589–602, doi:<a href=\"https://doi.org/10.1007/BF01334766\">10.1007/BF01334766</a>.","ista":"Erdös L, Tuyen D. 1990. Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier. Journal of Statistical Physics. 59(5–6), 1589–1602."},"date_updated":"2022-02-24T09:39:29Z","publisher":"Springer","article_type":"original","quality_controlled":"1","page":"1589 - 1602","date_created":"2018-12-11T11:59:15Z","article_processing_charge":"No","publication_status":"published","intvolume":"        59","title":"Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier","scopus_import":"1","_id":"2721","issue":"5-6","author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","last_name":"Erdös"},{"full_name":"Tuyen, Dao","last_name":"Tuyen","first_name":"Dao"}]}]