{"article_number":"121901","file":[{"access_level":"open_access","file_id":"14722","relation":"main_file","checksum":"66572f718a36465576cf0d6b3f7e01fc","date_created":"2024-01-02T08:45:07Z","success":1,"date_updated":"2024-01-02T08:45:07Z","file_name":"2023_JourMathPhysics_Mitrouskas.pdf","content_type":"application/pdf","creator":"dernst","file_size":4346922}],"file_date_updated":"2024-01-02T08:45:07Z","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"language":[{"iso":"eng"}],"_id":"14715","day":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","month":"12","date_updated":"2024-01-02T08:51:28Z","publication_status":"published","has_accepted_license":"1","department":[{"_id":"RoSe"}],"article_processing_charge":"Yes (in subscription journal)","external_id":{"arxiv":["2307.11062"]},"doi":"10.1063/5.0172199","article_type":"original","title":"Exponential decay of the number of excitations in the weakly interacting Bose gas","publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"date_created":"2023-12-31T23:01:02Z","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."}],"oa":1,"author":[{"last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes"},{"first_name":"Peter","last_name":"Pickl","full_name":"Pickl, Peter"}],"publisher":"AIP Publishing","intvolume":" 64","ddc":["510"],"year":"2023","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_published":"2023-12-01T00:00:00Z","citation":{"apa":"Mitrouskas, D. J., & Pickl, P. (2023). Exponential decay of the number of excitations in the weakly interacting Bose gas. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0172199","chicago":"Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the Number of Excitations in the Weakly Interacting Bose Gas.” Journal of Mathematical Physics. AIP Publishing, 2023. https://doi.org/10.1063/5.0172199.","mla":"Mitrouskas, David Johannes, and Peter Pickl. “Exponential Decay of the Number of Excitations in the Weakly Interacting Bose Gas.” Journal of Mathematical Physics, vol. 64, no. 12, 121901, AIP Publishing, 2023, doi:10.1063/5.0172199.","ieee":"D. J. Mitrouskas and P. Pickl, “Exponential decay of the number of excitations in the weakly interacting Bose gas,” Journal of Mathematical Physics, vol. 64, no. 12. AIP Publishing, 2023.","short":"D.J. Mitrouskas, P. Pickl, Journal of Mathematical Physics 64 (2023).","ama":"Mitrouskas DJ, Pickl P. Exponential decay of the number of excitations in the weakly interacting Bose gas. Journal of Mathematical Physics. 2023;64(12). doi:10.1063/5.0172199","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."},"volume":64,"type":"journal_article","publication":"Journal of Mathematical Physics","oa_version":"Published Version","status":"public","scopus_import":"1","issue":"12"}