{"extern":1,"author":[{"last_name":"Seiringer","full_name":"Robert Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"type":"journal_article","volume":279,"page":"595 - 636","year":"2008","issue":"3","publist_id":"4551","citation":{"ista":"Seiringer R. 2008. Free energy of a dilute Bose gas: Lower bound. Communications in Mathematical Physics. 279(3), 595–636.","chicago":"Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” <i>Communications in Mathematical Physics</i>. Springer, 2008. <a href=\"https://doi.org/10.1007/s00220-008-0428-2\">https://doi.org/10.1007/s00220-008-0428-2</a>.","ama":"Seiringer R. Free energy of a dilute Bose gas: Lower bound. <i>Communications in Mathematical Physics</i>. 2008;279(3):595-636. doi:<a href=\"https://doi.org/10.1007/s00220-008-0428-2\">10.1007/s00220-008-0428-2</a>","short":"R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.","ieee":"R. Seiringer, “Free energy of a dilute Bose gas: Lower bound,” <i>Communications in Mathematical Physics</i>, vol. 279, no. 3. Springer, pp. 595–636, 2008.","apa":"Seiringer, R. (2008). Free energy of a dilute Bose gas: Lower bound. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-008-0428-2\">https://doi.org/10.1007/s00220-008-0428-2</a>","mla":"Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” <i>Communications in Mathematical Physics</i>, vol. 279, no. 3, Springer, 2008, pp. 595–636, doi:<a href=\"https://doi.org/10.1007/s00220-008-0428-2\">10.1007/s00220-008-0428-2</a>."},"day":"01","date_created":"2018-12-11T11:57:17Z","quality_controlled":0,"doi":"10.1007/s00220-008-0428-2","publication_status":"published","_id":"2374","main_file_link":[{"url":"http://arxiv.org/abs/math-ph/0608069","open_access":"1"}],"abstract":[{"lang":"eng","text":"A lower bound is derived on the free energy (per unit volume) of a homogeneous Bose gas at density Q and temperature T. In the dilute regime, i.e., when a3 1, where a denotes the scattering length of the pair-interaction potential, our bound differs to leading order from the expression for non-interacting particles by the term 4πa(2 2}-[ - c]2+). Here, c(T) denotes the critical density for Bose-Einstein condensation (for the non-interacting gas), and [ · ]+ = max{ ·, 0} denotes the positive part. Our bound is uniform in the temperature up to temperatures of the order of the critical temperature, i.e., T ~ 2/3 or smaller. One of the key ingredients in the proof is the use of coherent states to extend the method introduced in [17] for estimating correlations to temperatures below the critical one."}],"oa":1,"title":"Free energy of a dilute Bose gas: Lower bound","status":"public","date_published":"2008-05-01T00:00:00Z","date_updated":"2021-01-12T06:57:06Z","publication":"Communications in Mathematical Physics","intvolume":"       279","publisher":"Springer","month":"05"}