Quantitative test of mean-field description of a trapped two-dimensional Bose gas
arXiv:0908.3052 · doi:10.1103/PhysRevA.80.045603
Abstract
We investigate the accuracy of two mean-field theories of the trapped two-dimensional Bose gas at predicting transition region properties by comparison to non-perturbative classical field calculations. To make these comparisons we examine the density profiles and the predictions for the Berezinskii-Kosterlitz-Thouless superfluid transition temperature over a parameter range in which the degree of thermal activation in the tightly trapped direction varies considerably. These results present an important test of these mean-field theories, and provide a characterization of their typical accuracy.
5 pages, 2 figures, 1 table
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