[{"type":"preprint","abstract":[{"lang":"eng"}],"_id":"7524","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","oa_version":"Preprint","dc":{"source":["Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:191003372."],"rights":["info:eu-repo/semantics/openAccess"],"publisher":["ArXiv"],"relation":["info:eu-repo/grantAgreement/EC/H2020/694227"],"title":["The free energy of the two-dimensional dilute Bose gas. I. Lower bound"],"date":["2019"],"language":["eng"],"type":["info:eu-repo/semantics/preprint","doc-type:preprint","text","http://purl.org/coar/resource_type/c_816b"],"identifier":["https://research-explorer.ista.ac.at/record/7524"],"description":["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 $\\rho$ and inverse temperature $\\beta$ differs from the one of the non-interacting system by the correction term $4 \\pi \\rho^2 |\\ln a^2 \\rho|^{-1} (2 - [1 - \\beta_{\\mathrm{c}}/\\beta]_+^2)$. Here $a$ is the scattering length of the interaction potential, $[\\cdot]_+ = \\max\\{ 0, \\cdot \\}$ and $\\beta_{\\mathrm{c}}$ is the inverse Berezinskii--Kosterlitz--Thouless critical temperature for superfluidity. The result is valid in the dilute limit\r\n$a^2\\rho \\ll 1$ and if $\\beta \\rho \\gtrsim 1$."],"creator":["Deuchert, Andreas","Mayer, Simon","Seiringer, Robert"]},"scopus_import":1,"article_processing_charge":"No","uri_base":"https://research-explorer.ista.ac.at","day":"08","citation":{"chicago":"Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372. ArXiv, n.d.","mla":"Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372, ArXiv.","short":"A. Deuchert, S. Mayer, R. Seiringer, ArXiv:1910.03372 (n.d.).","ista":"Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:1910.03372, .","apa":"Deuchert, A., Mayer, S., & Seiringer, R. (n.d.). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:1910.03372. ArXiv.","ieee":"A. Deuchert, S. Mayer, and R. Seiringer, “The free energy of the two-dimensional dilute Bose gas. I. Lower bound,” arXiv:1910.03372. ArXiv."},"publication":"arXiv:1910.03372","page":"61","date_published":"2019-10-08T00:00:00Z","ec_funded":1,"creator":{"login":"dernst","id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},"department":[{"_id":"RoSe","tree":[{"_id":"ResearchGroups"},{"_id":"IST"}]}],"publication_status":"draft","related_material":{"record":[{"id":"7790","status":"public","relation":"later_version"},{"status":"public","relation":"dissertation_contains","id":"7514"}]},"author":[{"id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","first_name":"Andreas","last_name":"Deuchert"},{"id":"30C4630A-F248-11E8-B48F-1D18A9856A87","last_name":"Mayer","first_name":"Simon"},{"first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"dini_type":"doc-type:preprint","date_updated":"2023-09-07T13:12:41Z","date_created":"2020-02-26T08:46:40Z","month":"10","main_file_link":[{"url":"https://arxiv.org/abs/1910.03372","open_access":"1"}],"oa":1,"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"language":[{}]}]