{"citation":{"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>","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>.","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.","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.","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).","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>."},"_id":"14715","month":"12","title":"Exponential decay of the number of excitations in the weakly interacting Bose gas","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"12","department":[{"_id":"RoSe"}],"external_id":{"arxiv":["2307.11062"]},"publication":"Journal of Mathematical Physics","oa_version":"Published Version","status":"public","year":"2023","article_type":"original","scopus_import":"1","ddc":["510"],"volume":64,"date_updated":"2024-01-02T08:51:28Z","date_published":"2023-12-01T00:00:00Z","publication_status":"published","quality_controlled":"1","author":[{"full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"full_name":"Pickl, Peter","first_name":"Peter","last_name":"Pickl"}],"type":"journal_article","intvolume":"        64","publication_identifier":{"eissn":["1089-7658"],"issn":["0022-2488"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"abstract":[{"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.","lang":"eng"}],"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","language":[{"iso":"eng"}],"license":"https://creativecommons.org/licenses/by/4.0/","oa":1,"publisher":"AIP Publishing","file":[{"date_updated":"2024-01-02T08:45:07Z","file_size":4346922,"date_created":"2024-01-02T08:45:07Z","creator":"dernst","access_level":"open_access","relation":"main_file","checksum":"66572f718a36465576cf0d6b3f7e01fc","file_id":"14722","content_type":"application/pdf","file_name":"2023_JourMathPhysics_Mitrouskas.pdf","success":1}],"doi":"10.1063/5.0172199","file_date_updated":"2024-01-02T08:45:07Z","article_number":"121901","article_processing_charge":"Yes (in subscription journal)","day":"01","has_accepted_license":"1"}