Systematic Semiclassical Expansion for Harmonically Trapped Ideal Bose Gases

Abstract

Using a field-theoretic approach, we systematically generalize the usual semiclassical approximation for a harmonically trapped ideal Bose gas in such a way that its range of applicability is essentially extended. With this we can analytically calculate thermodynamic properties even for small particle numbers. In particular, it now becomes possible to determine the critical temperature as well as the temperature dependence of both heat capacity and condensate fraction in low-dimensional traps, where the standard semiclassical approximation is not even applicable.

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• Thermodynamics of Trapped Photon Gases at Dimensional Crossover from 2D to 1D
• Weakly interacting Bose-Einstein condensates in temperature-dependent generic traps
• From Lasers to Photon Bose--Einstein Condensates: A Unified Description via an Open-Dissipative Bose--Einstein Distribution