Bose-Einstein condensation in anisotropic harmonic traps
Tor Haugset, Hårek Haugerud, Jens O. Andersen
We study the thermodynamic behavior 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.
arXiv:cond-mat/9611061•Physical Review A•Apr 1, 1997•61 citations