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