English

Bose-Einstein Condensation in Anisotropic Harmonic Traps

Condensed Matter 2009-10-28 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/9611061,
  title  = {Bose-Einstein Condensation in Anisotropic Harmonic Traps},
  author = {T. Haugset and H. Haugerud and J. O. Andersen},
  journal= {arXiv preprint arXiv:cond-mat/9611061},
  year   = {2009}
}

Comments

LaTex, 17 pages, 7 ps-figures

R2 v1 2026-07-22T11:55:14.277Z