{"type":"journal_article","day":"02","author":[{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","first_name":"Robert","last_name":"Seiringer"},{"full_name":"Ueltschi, Daniel","first_name":"Daniel","last_name":"Ueltschi"}],"publication":"Physical Review B - Condensed Matter and Materials Physics","doi":"10.1103/PhysRevB.80.014502","month":"06","date_updated":"2021-01-12T06:57:10Z","citation":{"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.","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>.","short":"R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009).","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>","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>","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).","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>."},"date_published":"2009-06-02T00:00:00Z","publication_status":"published","extern":1,"issue":"1","_id":"2386","abstract":[{"lang":"eng","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."}],"main_file_link":[{"url":"http://arxiv.org/abs/0904.0050","open_access":"1"}],"intvolume":"        80","oa":1,"date_created":"2018-12-11T11:57:22Z","publist_id":"4540","volume":80,"year":"2009","publisher":"American Physical Society","title":"Rigorous upper bound on the critical temperature of dilute Bose gases","quality_controlled":0,"status":"public"}