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

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

2009-08-21

arxiv.org/abs/0908.3052v2

Phys. Rev. A 80, 045603 (2009)

Physics

Condensed Matter

Quantum Gases

5 pages, 2 figures, 1 table

Scientific paper

10.1103/PhysRevA.80.045603

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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