Semiclassical theory of the quasi two-dimensional trapped Bose gas

Abstract

We discuss the quasi two-dimensional trapped Bose gas where the thermal occupation of excited states in the tightly confined direction is small but remains finite in the thermodynamic limit. We show that the semiclassical theory describes very accurately the density profile obtained by Quantum Monte Carlo calculations in the normal phase above the Kosterlitz--Thouless temperature T_KT, but differs strongly from the predictions of strictly two-dimensional mean-field theory, even at relatively high temperature. We discuss the relevance of our findings for analyzing ultra-cold-atom experiments in quasi two-dimensional traps.

arXiv comment5 pages, 3 figures

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• Bose-Einstein condensation in quasi2D trapped gases
• Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
• Quantum Monte Carlo Calculations for a large number of bosons in a harmonic trap
• Critical Point of an Interacting Two-Dimensional Atomic Bose Gas
• Pair correlation function of an inhomogeneous interacting Bose-Einstein condensate
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