A study of trapped Bose gas beyond mean-field theory
Condensed Matter
2007-05-23 v1
Abstract
We study the ground-state properties of dilute Bose gas confined to both isotropic and anisotropic traps to assess the accuracy of Gross-Pitaevskii (GP) theory. To go beyond GP approximation we use Huang-Yang theory of interatomic interaction energy for hard-sphere Bose gas and use a variational method to solve the resulting modified GP equation. We also make an analytic estimate of the corrections due to higher-order terms in the interatomic interaction energy. We find that the corrections are of the order of 1 percent. However, there is a qualitative change in the density profile due to presence of logarithimic term in the interaction energy for large N (number of atoms)
Cite
@article{arxiv.cond-mat/0009023,
title = {A study of trapped Bose gas beyond mean-field theory},
author = {Arup Banerjee and Manoranjan P. Singh},
journal= {arXiv preprint arXiv:cond-mat/0009023},
year = {2007}
}
Comments
14 pages including 1 figure