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Bose-Einstein Condensation in Anisotropic Harmonic Traps

T. Haugset·H. Haugerud·J. O. Andersen
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Abstract

We study the thermodynamic behaviour of an ideal gas of bosons trapped in a three-dimensional anisotropic harmonic oscillator potential. The condensate fraction as well as the specific heat is calculated using the Euler-Maclaurin approximation. For a finite number of particles there is no phase transition, but there is a well defined temperature at which the condensation starts. We also consider condensation in lower dimensions, and for one-dimensional systems we discuss the dependence of the condensate fraction and heat capacity on the ensemble used.

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T. Haugset, H. Haugerud, J. O. Andersen. 1996-11-08. Bose-Einstein Condensation in Anisotropic Harmonic Traps. https://doi.org/10.1103/physreva.55.2922

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