Bose-Einstein condensation in variable dimensionality
凝聚态物理
2009-11-07 v4
摘要
We introduce dimensional perturbation techniques to Bose-Einstein condensation of inhomogeneous alkali gases (BEC). The perturbation parameter is delta=1/kappa, where kappa depends on the effective dimensionality of the condensate and on the angular momentum quantum number. We derive a simple approximation that is more accurate and flexible than the N -> infinity Thomas-Fermi ground state approximation (TFA) of the Gross-Pitaevskii equation. The approximation presented here is well-suited for calculating properties of states in three dimensions and in low effective dimensionality, such as vortex states in a highly anisotropic trap.
引用
@article{arxiv.cond-mat/0102362,
title = {Bose-Einstein condensation in variable dimensionality},
author = {B. A. McKinney and D. K. Watson},
journal= {arXiv preprint arXiv:cond-mat/0102362},
year = {2009}
}