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

Abstract

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.

5 pages, 2 figures

References in corpus (5)

• Critical Point of an Interacting Two-Dimensional Atomic Bose Gas
• The trapped two-dimensional Bose gas: from Bose-Einstein condensation to Berezinskii-Kosterlitz-Thouless physics
• Kosterlitz-Thouless transition of the quasi two-dimensional trapped Bose gas
• Semiclassical theory of the quasi two-dimensional trapped Bose gas
• Superfluidity of an interacting trapped quasi-2D Bose gas

Cited by in corpus (5)

• Connecting Berezinskii-Kosterlitz-Thouless and BEC phase transitions by tuning interactions in a trapped gas
• Finite temperature analysis of a quasi2D dipolar gas
• Transition region properties of a trapped quasi-two-dimensional degenerate Bose gas
• Quantitative test of mean-field description of a trapped two-dimensional Bose gas
• Preparation of quasi-two-dimensional Bose mixture of ultracold ${}^{23}$Na and ${}^{87}$Rb atoms