Rigorous upper bound on the critical temperature of dilute Bose gases
Robert Seiringer
Ueltschi, Daniel
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.
American Physical Society
2009
info:eu-repo/semantics/article
doc-type:article
text
http://purl.org/coar/resource_type/c_6501
https://research-explorer.ista.ac.at/record/2386
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>
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.80.014502
info:eu-repo/semantics/openAccess