@article{2386,
abstract = {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.},
author = {Robert Seiringer and Ueltschi, Daniel},
journal = {Physical Review B - Condensed Matter and Materials Physics},
number = {1},
publisher = {American Physical Society},
title = {{Rigorous upper bound on the critical temperature of dilute Bose gases}},
doi = {10.1103/PhysRevB.80.014502},
volume = {80},
year = {2009},
}