Bose-Einstein condensation in shallow traps
统计力学
2009-10-31 v1
摘要
In this paper we study the properties of Bose-Einstein condensates in shallow traps. We discuss the case of a Gaussian potential, but many of our results apply also to the traps having a small quadratic anharmonicity. We show the errors introduced when a Gaussian potential is approximated with a parabolic potential, these errors can be quite large for realistic optical trap parameter values. We study the behavior of the condensate fraction as a function of trap depth and temperature and calculate the chemical potential of the condensate in a Gaussian trap. Finally we calculate the frequencies of the collective excitations in shallow spherically symmetric and 1D traps.
引用
@article{arxiv.cond-mat/0008025,
title = {Bose-Einstein condensation in shallow traps},
author = {J. -P. Martikainen},
journal= {arXiv preprint arXiv:cond-mat/0008025},
year = {2009}
}
备注
6 pages, 4 figures