{"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"relation":"main_file","date_updated":"2022-08-18T08:09:00Z","checksum":"44418cb44f07fa21ed3907f85abf7f39","file_name":"2022_JournalStatisticalPhysics_Rademacher.pdf","access_level":"open_access","content_type":"application/pdf","date_created":"2022-08-18T08:09:00Z","file_id":"11922","success":1,"file_size":483481,"creator":"dernst"}],"month":"07","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"volume":188,"oa_version":"Published Version","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"article_processing_charge":"Yes (via OA deal)","title":"Large deviation estimates for weakly interacting bosons","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"date_published":"2022-07-01T00:00:00Z","isi":1,"type":"journal_article","_id":"11917","doi":"10.1007/s10955-022-02940-4","ddc":["510"],"department":[{"_id":"RoSe"}],"scopus_import":"1","intvolume":"       188","publisher":"Springer Nature","author":[{"last_name":"Rademacher","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert"}],"date_updated":"2023-08-03T12:55:58Z","language":[{"iso":"eng"}],"article_number":"9","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"}],"has_accepted_license":"1","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.","publication_status":"published","year":"2022","article_type":"original","oa":1,"quality_controlled":"1","ec_funded":1,"day":"01","status":"public","citation":{"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.","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>.","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>.","short":"S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).","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>","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>"},"file_date_updated":"2022-08-18T08:09:00Z","external_id":{"isi":["000805175000001"]},"publication":"Journal of Statistical Physics","date_created":"2022-08-18T07:23:26Z"}