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arXiv · 0908.3052

Quantitative test of mean-field description of a trapped two-dimensional Bose gas

R. N. Bisset·P. B. Blakie
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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.

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R. N. Bisset, P. B. Blakie. 2009-11-01. Quantitative test of mean-field description of a trapped two-dimensional Bose gas. https://doi.org/10.1103/physreva.80.045603

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