{"department":[{"_id":"RoSe"}],"author":[{"id":"30C4630A-F248-11E8-B48F-1D18A9856A87","last_name":"Mayer","full_name":"Mayer, Simon","first_name":"Simon"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert"}],"publication":"Journal of Mathematical Physics","_id":"8134","status":"public","month":"06","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"publication_status":"published","oa_version":"Preprint","article_number":"061901","scopus_import":"1","language":[{"iso":"eng"}],"issue":"6","year":"2020","publication_identifier":{"issn":["00222488"]},"volume":61,"date_created":"2020-07-19T22:00:59Z","date_updated":"2023-08-22T08:12:40Z","type":"journal_article","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"AIP Publishing","day":"22","main_file_link":[{"url":"https://arxiv.org/abs/2002.08281","open_access":"1"}],"isi":1,"abstract":[{"lang":"eng","text":"We prove an upper bound on the free energy of a two-dimensional homogeneous Bose gas in the thermodynamic limit. We show that for a2ρ ≪ 1 and βρ ≳ 1, the free energy per unit volume differs from the one of the non-interacting system by at most 4πρ2|lna2ρ|−1(2−[1−βc/β]2+) to leading order, where a is the scattering length of the two-body interaction potential, ρ is the density, β is the inverse temperature, and βc is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. In combination with the corresponding matching lower bound proved by Deuchert et al. [Forum Math. Sigma 8, e20 (2020)], this shows equality in the asymptotic expansion."}],"doi":"10.1063/5.0005950","ec_funded":1,"article_processing_charge":"No","citation":{"chicago":"Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2020. <a href=\"https://doi.org/10.1063/5.0005950\">https://doi.org/10.1063/5.0005950</a>.","ama":"Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. II. Upper bound. <i>Journal of Mathematical Physics</i>. 2020;61(6). doi:<a href=\"https://doi.org/10.1063/5.0005950\">10.1063/5.0005950</a>","ieee":"S. Mayer and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. II. Upper bound,” <i>Journal of Mathematical Physics</i>, vol. 61, no. 6. AIP Publishing, 2020.","mla":"Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” <i>Journal of Mathematical Physics</i>, vol. 61, no. 6, 061901, AIP Publishing, 2020, doi:<a href=\"https://doi.org/10.1063/5.0005950\">10.1063/5.0005950</a>.","ista":"Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. 61(6), 061901.","short":"S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).","apa":"Mayer, S., &#38; Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. II. Upper bound. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0005950\">https://doi.org/10.1063/5.0005950</a>"},"external_id":{"arxiv":["2002.08281"],"isi":["000544595100001"]},"date_published":"2020-06-22T00:00:00Z","quality_controlled":"1","article_type":"original","oa":1,"title":"The free energy of the two-dimensional dilute Bose gas. II. Upper bound","intvolume":"        61"}