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.

5 pages, 3 figures

References in corpus (2)

• Critical Point of an Interacting Two-Dimensional Atomic Bose Gas
• Off-diagonal long-range order, cycle probabilities, and condensate fraction in the ideal Bose gas

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• Correlation Effects in Ultracold Two-Dimensional 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
• Density ripples in expanding low-dimensional gases as a probe of correlations