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Abstract: We investigate the accuracy of two mean-field theories of the trappedtwo-dimensional Bose gas at predicting transition region properties bycomparison to non-perturbative classical field calculations. To make thesecomparisons we examine the density profiles and the predictions for theBerezinskii-Kosterlitz-Thouless superfluid transition temperature over aparameter range in which the degree of thermal activation in the tightlytrapped direction varies considerably. These results present an important testof these mean-field theories, and provide a characterization of their typicalaccuracy.



Author: R. N. Bisset, P. B. Blakie

Source: https://arxiv.org/







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