{"publisher":"Springer Nature","abstract":[{"lang":"eng","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."}],"year":"2020","ddc":["510"],"publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"oa_version":"Published Version","department":[{"_id":"RoSe"}],"status":"public","ec_funded":1,"article_type":"original","date_created":"2020-03-23T11:11:47Z","has_accepted_license":"1","citation":{"mla":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” <i>Letters in Mathematical Physics</i>, vol. 110, Springer Nature, 2020, pp. 2143–74, doi:<a href=\"https://doi.org/10.1007/s11005-020-01286-w\">10.1007/s11005-020-01286-w</a>.","ieee":"S. A. E. Rademacher, “Central limit theorem for Bose gases interacting through singular potentials,” <i>Letters in Mathematical Physics</i>, vol. 110. Springer Nature, pp. 2143–2174, 2020.","ama":"Rademacher SAE. Central limit theorem for Bose gases interacting through singular potentials. <i>Letters in Mathematical Physics</i>. 2020;110:2143-2174. doi:<a href=\"https://doi.org/10.1007/s11005-020-01286-w\">10.1007/s11005-020-01286-w</a>","short":"S.A.E. Rademacher, Letters in Mathematical Physics 110 (2020) 2143–2174.","ista":"Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through singular potentials. Letters in Mathematical Physics. 110, 2143–2174.","apa":"Rademacher, S. A. E. (2020). Central limit theorem for Bose gases interacting through singular potentials. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-020-01286-w\">https://doi.org/10.1007/s11005-020-01286-w</a>","chicago":"Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting through Singular Potentials.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s11005-020-01286-w\">https://doi.org/10.1007/s11005-020-01286-w</a>."},"type":"journal_article","month":"03","date_updated":"2023-09-05T15:14:50Z","title":"Central limit theorem for Bose gases interacting through singular potentials","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.","article_processing_charge":"Yes (via OA deal)","isi":1,"scopus_import":"1","intvolume":"       110","language":[{"iso":"eng"}],"quality_controlled":"1","oa":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","page":"2143-2174","file_date_updated":"2020-11-20T12:04:26Z","file":[{"file_name":"2020_LettersMathPhysics_Rademacher.pdf","access_level":"open_access","relation":"main_file","file_id":"8784","checksum":"3bdd41f10ad947b67a45b98f507a7d4a","success":1,"date_created":"2020-11-20T12:04:26Z","content_type":"application/pdf","creator":"dernst","file_size":478683,"date_updated":"2020-11-20T12:04:26Z"}],"date_published":"2020-03-12T00:00:00Z","publication_status":"published","day":"12","publication":"Letters in Mathematical Physics","author":[{"first_name":"Simone Anna Elvira","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466"}],"doi":"10.1007/s11005-020-01286-w","_id":"7611","volume":110,"external_id":{"isi":["000551556000006"]},"project":[{"grant_number":"754411","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}]}