{"day":"02","month":"06","doi":"10.1103/PhysRevB.80.014502","date_published":"2009-06-02T00:00:00Z","quality_controlled":0,"publication":"Physical Review B - Condensed Matter and Materials Physics","oa":1,"citation":{"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).","ieee":"R. Seiringer and D. Ueltschi, “Rigorous upper bound on the critical temperature of dilute Bose gases,” Physical Review B - Condensed Matter and Materials Physics, vol. 80, no. 1. American Physical Society, 2009.","apa":"Seiringer, R., & Ueltschi, D. (2009). Rigorous upper bound on the critical temperature of dilute Bose gases. Physical Review B - Condensed Matter and Materials Physics. American Physical Society. https://doi.org/10.1103/PhysRevB.80.014502","ama":"Seiringer R, Ueltschi D. Rigorous upper bound on the critical temperature of dilute Bose gases. Physical Review B - Condensed Matter and Materials Physics. 2009;80(1). doi:10.1103/PhysRevB.80.014502","chicago":"Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” Physical Review B - Condensed Matter and Materials Physics. American Physical Society, 2009. https://doi.org/10.1103/PhysRevB.80.014502.","mla":"Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” Physical Review B - Condensed Matter and Materials Physics, vol. 80, no. 1, American Physical Society, 2009, doi:10.1103/PhysRevB.80.014502.","short":"R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009)."},"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0904.0050"}],"extern":1,"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> 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) >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"}],"issue":"1","publist_id":"4540","type":"journal_article","date_updated":"2021-01-12T06:57:10Z","date_created":"2018-12-11T11:57:22Z","volume":80,"author":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Robert Seiringer"},{"first_name":"Daniel","last_name":"Ueltschi","full_name":"Ueltschi, Daniel"}],"publication_status":"published","status":"public","title":"Rigorous upper bound on the critical temperature of dilute Bose gases","publisher":"American Physical Society","intvolume":" 80","_id":"2386","year":"2009"}