Analysis of the Holzmann-Chevallier-Krauth theory for the trapped quasi-two-dimensional Bose gas

Details Analysis of the Holzmann-Chevallier-Krauth theory for the trapped quasi-two-dimensional Bose gas Analysis of the Holzmann-Chevallier-Krauth theory for the trapped quasi-two-dimensional Bose gas

2008-09-04

arxiv.org/abs/0809.0747v2

PHYSICAL REVIEW A, volume 79, page 013602 (2009)

Physics

Condensed Matter

Other Condensed Matter

5 pages, 2 figures

Scientific paper

10.1103/PhysRevA.79.013602

We provide an in depth analysis of the theory proposed by Holzmann, Chevallier and Krauth (HCK) [Europhys. Lett., {\bf 82}, 30001 (2008)] for predicting the temperature at which the Berezinskii-Kosterlitz-Thouless (BKT) transition to a superfluid state occurs in the harmonically trapped quasi-two-dimensional (2D) Bose gas. Their theory is based on a meanfield model of the system density and we show that the HCK predictions change appreciably when an improved meanfield theory and identification of the transition point is used. In this analysis we develop a consistent theory that provides a lower bound for the BKT transition temperature in the trapped quasi-2D Bose gas.

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