{"isi":1,"oa_version":"Published Version","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"has_accepted_license":"1","external_id":{"arxiv":["2203.00730"],"isi":["000809648100002"]},"oa":1,"publisher":"AIP Publishing","abstract":[{"text":"We consider a gas of N bosons with interactions in the mean-field scaling regime. We review the proof of an asymptotic expansion of its low-energy spectrum, eigenstates, and dynamics, which provides corrections to Bogoliubov theory to all orders in 1/ N. This is based on joint works with Petrat, Pickl, Seiringer, and Soffer. In addition, we derive a full asymptotic expansion of the ground state one-body reduced density matrix.","lang":"eng"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"article_type":"original","intvolume":"        63","language":[{"iso":"eng"}],"year":"2022","day":"10","date_updated":"2023-08-03T12:46:28Z","ec_funded":1,"publication":"Journal of Mathematical Physics","doi":"10.1063/5.0089983","scopus_import":"1","file_date_updated":"2022-08-11T07:03:02Z","date_created":"2022-08-11T06:37:52Z","acknowledgement":"The author thanks Nataˇsa Pavlovic, Sören Petrat, Peter Pickl, Robert Seiringer, and Avy Soffer for the collaboration on Refs. 1, 2 and 21. Funding from the European Union’s Horizon 2020 Research and Innovation Programme under Marie Skℓodowska-Curie Grant Agreement\r\nNo. 754411 is gratefully acknowledged.","date_published":"2022-06-10T00:00:00Z","title":"Low-energy spectrum and dynamics of the weakly interacting Bose gas","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"}],"citation":{"mla":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 6, 061102, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0089983\">10.1063/5.0089983</a>.","apa":"Bossmann, L. (2022). Low-energy spectrum and dynamics of the weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0089983\">https://doi.org/10.1063/5.0089983</a>","ieee":"L. Bossmann, “Low-energy spectrum and dynamics of the weakly interacting Bose gas,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 6. AIP Publishing, 2022.","ista":"Bossmann L. 2022. Low-energy spectrum and dynamics of the weakly interacting Bose gas. Journal of Mathematical Physics. 63(6), 061102.","ama":"Bossmann L. Low-energy spectrum and dynamics of the weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. 2022;63(6). doi:<a href=\"https://doi.org/10.1063/5.0089983\">10.1063/5.0089983</a>","chicago":"Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0089983\">https://doi.org/10.1063/5.0089983</a>.","short":"L. Bossmann, Journal of Mathematical Physics 63 (2022)."},"month":"06","author":[{"full_name":"Bossmann, Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","first_name":"Lea","last_name":"Bossmann","orcid":"0000-0002-6854-1343"}],"article_number":"061102","quality_controlled":"1","publication_status":"published","volume":63,"file":[{"content_type":"application/pdf","success":1,"creator":"dernst","file_name":"2022_JourMathPhysics_Bossmann.pdf","access_level":"open_access","checksum":"d0d32c338c1896680174be88c70968fa","file_size":5957888,"relation":"main_file","date_created":"2022-08-11T07:03:02Z","file_id":"11784","date_updated":"2022-08-11T07:03:02Z"}],"_id":"11783","status":"public","article_processing_charge":"Yes (via OA deal)","ddc":["530"],"type":"journal_article","issue":"6","department":[{"_id":"RoSe"}]}