{"publisher":"American Physical Society","extern":1,"month":"06","title":"Rigorous upper bound on the critical temperature of dilute Bose gases","date_updated":"2021-01-12T06:57:10Z","publication":"Physical Review B - Condensed Matter and Materials Physics","citation":{"apa":"Seiringer, R., &#38; Ueltschi, D. (2009). Rigorous upper bound on the critical temperature of dilute Bose gases. <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevB.80.014502\">https://doi.org/10.1103/PhysRevB.80.014502</a>","short":"R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009).","mla":"Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 80, no. 1, American Physical Society, 2009, doi:<a href=\"https://doi.org/10.1103/PhysRevB.80.014502\">10.1103/PhysRevB.80.014502</a>.","ieee":"R. Seiringer and D. Ueltschi, “Rigorous upper bound on the critical temperature of dilute Bose gases,” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 80, no. 1. American Physical Society, 2009.","chicago":"Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society, 2009. <a href=\"https://doi.org/10.1103/PhysRevB.80.014502\">https://doi.org/10.1103/PhysRevB.80.014502</a>.","ista":"Seiringer R, Ueltschi D. 2009. Rigorous upper bound on the critical temperature of dilute Bose gases. Physical Review B - Condensed Matter and Materials Physics. 80(1).","ama":"Seiringer R, Ueltschi D. Rigorous upper bound on the critical temperature of dilute Bose gases. <i>Physical Review B - Condensed Matter and Materials Physics</i>. 2009;80(1). doi:<a href=\"https://doi.org/10.1103/PhysRevB.80.014502\">10.1103/PhysRevB.80.014502</a>"},"date_created":"2018-12-11T11:57:22Z","publist_id":"4540","date_published":"2009-06-02T00:00:00Z","type":"journal_article","_id":"2386","status":"public","intvolume":"        80","issue":"1","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0904.0050"}],"quality_controlled":0,"volume":80,"oa":1,"author":[{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Ueltschi, Daniel","first_name":"Daniel","last_name":"Ueltschi"}],"year":"2009","day":"02","abstract":[{"text":"We prove exponential decay of the off-diagonal correlation function in the two-dimensional homogeneous Bose gas when a2 ρ is small and the temperature T satisfies T&gt; 4πρ ln | ln (a2 ρ) |. Here, a is the scattering length of the repulsive interaction potential and ρ is the density. To the leading order in a2 ρ, this bound agrees with the expected critical temperature for superfluidity. In the three-dimensional Bose gas, exponential decay is proved when T- Tc (0) Tc (0) &gt;5 a ρ1/3, where Tc (0) is the critical temperature of the ideal gas. While this condition is not expected to be sharp, it gives a rigorous upper bound on the critical temperature for Bose-Einstein condensation.","lang":"eng"}],"publication_status":"published","doi":"10.1103/PhysRevB.80.014502"}