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.

arXiv comment5 pages, 2 figures

References in corpus (16)

• Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
• Bose-Einstein condensation in quasi2D trapped gases
• Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
• Two-Dimensional Weakly Interacting Bose Gas in the Fluctuation Region
• Weakly Interacting, Dilute Bose Gases in 2D
• Critical Point of an Interacting Two-Dimensional Atomic Bose Gas
• Observation of Phase Defects in Quasi-2D Bose-Einstein Condensates
• The trapped two-dimensional Bose gas: from Bose-Einstein condensation to Berezinskii-Kosterlitz-Thouless physics
• Phase fluctuations in atomic Bose gases
• Thermal activation of vortex-antivortex pairs in quasi-2D Bose-Einstein condensates
• Kosterlitz-Thouless transition of the quasi two-dimensional trapped Bose gas
• Observable Signature of the Berezinskii-Kosterlitz-Thouless Transition in a Planar Lattice of Bose-Einstein Condensates
• Finite temperature theory of the trapped two dimensional Bose gas
• Semiclassical theory of the quasi two-dimensional trapped Bose gas
• Superfluidity of an interacting trapped quasi-2D Bose gas
• Transition from Bose-Einstein Condensate to Berezinskii-Kosterlitz-Thouless Phase

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• Exploring the thermodynamics of a two-dimensional Bose gas
• Decay of a quantum vortex: test of non-equilibrium theories for warm Bose-Einstein condensates
• The equilibrium state of a trapped two-dimensional Bose gas
• Quasicondensation and coherence in the quasi-two-dimensional trapped Bose gas
• Connecting Berezinskii-Kosterlitz-Thouless and BEC phase transitions by tuning interactions in a trapped gas
• Finite temperature analysis of a quasi2D dipolar gas
• Universal correlations and coherence in quasi-two-dimensional trapped Bose gases
• 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
• Vortex Formation in Two-Dimensional Bose Gas
• Preparation of quasi-two-dimensional Bose mixture of ultracold ${}^{23}$Na and ${}^{87}$Rb atoms