Finite-temperature correlations in the trapped Bose gas
Statistical Mechanics
2007-05-23 v1
Abstract
Previous functional integral methods for translationally invariant systems have been extended to the case of a confining trap potential. Essentially all finite-temperature properties of the repulsive Bose gas in a paraboloidal trap can be determined this way. New analytical results reported here are for the finite-temperature two-point correlation functions below the critical temperatures in d=3,2 and 1 dimensions. Only for d=3 are correlations both long range and coherent - at long range consistent with the existence of a coherent state of the condensate in the trap. The two-dimensional condensate is marginally stable in the sense that correlations decay by a power law.
Cite
@article{arxiv.cond-mat/9910439,
title = {Finite-temperature correlations in the trapped Bose gas},
author = {N. M. Bogoliubov and R. K. Bullough and V. S. Kapitonov and C. Malyshev and J. Timonen},
journal= {arXiv preprint arXiv:cond-mat/9910439},
year = {2007}
}
Comments
5 pages, no figures