{"article_type":"original","publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"intvolume":"        64","language":[{"iso":"eng"}],"year":"2023","date_updated":"2024-01-02T08:51:28Z","day":"01","doi":"10.1063/5.0172199","publication":"Journal of Mathematical Physics","license":"https://creativecommons.org/licenses/by/4.0/","oa_version":"Published Version","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)"},"external_id":{"arxiv":["2307.11062"]},"has_accepted_license":"1","oa":1,"abstract":[{"lang":"eng","text":"We consider N trapped bosons in the mean-field limit with coupling constant λN = 1/(N − 1). The ground state of such systems exhibits Bose–Einstein condensation. We prove that the probability of finding ℓ particles outside the condensate wave function decays exponentially in ℓ."}],"publisher":"AIP Publishing","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","quality_controlled":"1","volume":64,"file":[{"date_updated":"2024-01-02T08:45:07Z","date_created":"2024-01-02T08:45:07Z","file_id":"14722","file_size":4346922,"relation":"main_file","access_level":"open_access","checksum":"66572f718a36465576cf0d6b3f7e01fc","file_name":"2023_JourMathPhysics_Mitrouskas.pdf","creator":"dernst","content_type":"application/pdf","success":1}],"_id":"14715","status":"public","ddc":["510"],"article_processing_charge":"Yes (in subscription journal)","type":"journal_article","issue":"12","department":[{"_id":"RoSe"}],"scopus_import":"1","file_date_updated":"2024-01-02T08:45:07Z","acknowledgement":"We thank Lea Boßmann, Phan Thành Nam and Simone Rademacher for helpful remarks. P.P. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - Grant No. SFB/TRR 352 “Mathematics of Many-Body Quantum Systems and Their Collective Phenomena.”","date_created":"2023-12-31T23:01:02Z","date_published":"2023-12-01T00:00:00Z","title":"Exponential decay of the number of excitations in the weakly interacting Bose gas","citation":{"ista":"Mitrouskas DJ, Pickl P. 2023. Exponential decay of the number of excitations in the weakly interacting Bose gas. Journal of Mathematical Physics. 64(12), 121901.","ieee":"D. J. Mitrouskas and P. Pickl, “Exponential decay of the number of excitations in the weakly interacting Bose gas,” <i>Journal of Mathematical Physics</i>, vol. 64, no. 12. AIP Publishing, 2023.","mla":"Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the Number of Excitations in the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>, vol. 64, no. 12, 121901, AIP Publishing, 2023, doi:<a href=\"https://doi.org/10.1063/5.0172199\">10.1063/5.0172199</a>.","apa":"Mitrouskas, D. J., &#38; Pickl, P. (2023). Exponential decay of the number of excitations in the weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0172199\">https://doi.org/10.1063/5.0172199</a>","chicago":"Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the Number of Excitations in the Weakly Interacting Bose Gas.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2023. <a href=\"https://doi.org/10.1063/5.0172199\">https://doi.org/10.1063/5.0172199</a>.","ama":"Mitrouskas DJ, Pickl P. Exponential decay of the number of excitations in the weakly interacting Bose gas. <i>Journal of Mathematical Physics</i>. 2023;64(12). doi:<a href=\"https://doi.org/10.1063/5.0172199\">10.1063/5.0172199</a>","short":"D.J. Mitrouskas, P. Pickl, Journal of Mathematical Physics 64 (2023)."},"month":"12","author":[{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","first_name":"David Johannes","full_name":"Mitrouskas, David Johannes"},{"last_name":"Pickl","first_name":"Peter","full_name":"Pickl, Peter"}],"article_number":"121901"}