{"title":"Central limit theorem for Bose gases interacting through singular potentials","oa":1,"ddc":["510"],"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)"},"intvolume":" 110","date_published":"2020-03-12T00:00:00Z","external_id":{"isi":["000551556000006"]},"ec_funded":1,"article_processing_charge":"Yes (via OA deal)","doi":"10.1007/s11005-020-01286-w","citation":{"apa":"Rademacher, S. A. E. (2020). Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-020-01286-w","ama":"Rademacher SAE. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 2020;110:2143-2174. doi:10.1007/s11005-020-01286-w","ieee":"S. A. E. Rademacher, “Central limit theorem for Bose gases interacting through singular potentials,” Letters in Mathematical Physics, vol. 110. Springer Nature, pp. 2143–2174, 2020.","chicago":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” Letters in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s11005-020-01286-w.","mla":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” Letters in Mathematical Physics, vol. 110, Springer Nature, 2020, pp. 2143–74, doi:10.1007/s11005-020-01286-w.","short":"S.A.E. Rademacher, Letters in Mathematical Physics 110 (2020) 2143–2174.","ista":"Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 110, 2143–2174."},"article_type":"original","quality_controlled":"1","has_accepted_license":"1","abstract":[{"text":"We consider a system of N bosons in the limit N→∞, interacting through singular potentials. For initial data exhibiting Bose–Einstein condensation, the many-body time evolution is well approximated through a quadratic fluctuation dynamics around a cubic nonlinear Schrödinger equation of the condensate wave function. We show that these fluctuations satisfy a (multi-variate) central limit theorem.","lang":"eng"}],"isi":1,"publisher":"Springer Nature","file_date_updated":"2020-11-20T12:04:26Z","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","type":"journal_article","day":"12","volume":110,"publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"year":"2020","language":[{"iso":"eng"}],"date_updated":"2023-09-05T15:14:50Z","date_created":"2020-03-23T11:11:47Z","publication_status":"published","project":[{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"file":[{"creator":"dernst","access_level":"open_access","date_created":"2020-11-20T12:04:26Z","date_updated":"2020-11-20T12:04:26Z","relation":"main_file","file_name":"2020_LettersMathPhysics_Rademacher.pdf","file_size":478683,"content_type":"application/pdf","checksum":"3bdd41f10ad947b67a45b98f507a7d4a","success":1,"file_id":"8784"}],"month":"03","scopus_import":"1","oa_version":"Published Version","_id":"7611","status":"public","publication":"Letters in Mathematical Physics","author":[{"orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher","first_name":"Simone Anna Elvira"}],"department":[{"_id":"RoSe"}],"page":"2143-2174","acknowledgement":"Simone Rademacher acknowledges partial support from the NCCR SwissMAP. This project has received\r\nfunding from the European Union’s Horizon 2020 research and innovation program under the Marie\r\nSkłodowska-Curie Grant Agreement No. 754411.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).\r\nS.R. would like to thank Benjamin Schlein for many fruitful discussions."}