{"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","abstract":[{"text":"We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density 𝜌 and inverse temperature 𝛽 differs from the one of the noninteracting system by the correction term 𝜋𝜌𝜌𝛽𝛽 . Here, is the scattering length of the interaction potential, and 𝛽 is the inverse Berezinskii–Kosterlitz–Thouless critical temperature for superfluidity. The result is valid in the dilute limit 𝜌 and if 𝛽𝜌 .","lang":"eng"}],"publisher":"Cambridge University Press","has_accepted_license":"1","oa":1,"external_id":{"isi":["000527342000001"],"arxiv":["1910.03372"]},"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)"},"isi":1,"license":"https://creativecommons.org/licenses/by/4.0/","publication":"Forum of Mathematics, Sigma","ec_funded":1,"doi":"10.1017/fms.2020.17","year":"2020","language":[{"iso":"eng"}],"date_updated":"2023-08-21T06:18:49Z","day":"14","intvolume":"         8","publication_identifier":{"eissn":["20505094"]},"article_type":"original","article_number":"e20","related_material":{"record":[{"status":"public","id":"7524","relation":"earlier_version"}]},"citation":{"short":"A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).","ista":"Deuchert A, Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 8, e20.","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” <i>Forum of Mathematics, Sigma</i>, vol. 8. Cambridge University Press, 2020.","apa":"Deuchert, A., Mayer, S., &#38; Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2020.17\">https://doi.org/10.1017/fms.2020.17</a>","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” <i>Forum of Mathematics, Sigma</i>, vol. 8, e20, Cambridge University Press, 2020, doi:<a href=\"https://doi.org/10.1017/fms.2020.17\">10.1017/fms.2020.17</a>.","chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2020. <a href=\"https://doi.org/10.1017/fms.2020.17\">https://doi.org/10.1017/fms.2020.17</a>.","ama":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. <i>Forum of Mathematics, Sigma</i>. 2020;8. doi:<a href=\"https://doi.org/10.1017/fms.2020.17\">10.1017/fms.2020.17</a>"},"author":[{"orcid":"0000-0003-3146-6746","last_name":"Deuchert","first_name":"Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","full_name":"Deuchert, Andreas"},{"id":"30C4630A-F248-11E8-B48F-1D18A9856A87","last_name":"Mayer","first_name":"Simon","full_name":"Mayer, Simon"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"month":"03","date_published":"2020-03-14T00:00:00Z","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227"}],"title":"The free energy of the two-dimensional dilute Bose gas. I. Lower bound","scopus_import":"1","date_created":"2020-05-03T22:00:48Z","file_date_updated":"2020-07-14T12:48:03Z","department":[{"_id":"RoSe"}],"article_processing_charge":"No","ddc":["510"],"type":"journal_article","_id":"7790","file":[{"checksum":"8a64da99d107686997876d7cad8cfe1e","access_level":"open_access","file_name":"2020_ForumMath_Deuchert.pdf","creator":"dernst","content_type":"application/pdf","date_updated":"2020-07-14T12:48:03Z","file_id":"7797","date_created":"2020-05-04T12:02:41Z","relation":"main_file","file_size":692530}],"status":"public","volume":8,"quality_controlled":"1","publication_status":"published"}