Correlation effects in the ground state of trapped atomic Bose gases
Abstract
We study the effects of many-body correlations in trapped ultracold atomic Bose gases. We calculate the ground state of the gas using a ground-state auxiliary-field quantum Monte Carlo (QMC) method [Phys. Rev. E 70, 056702 (2004)]. We examine the properties of the gas, such as the energetics, condensate fraction, real-space density, and momentum distribution, as a function of the number of particles and the scattering length. We find that the mean-field Gross-Pitaevskii (GP) approach gives qualitatively incorrect result of the kinetic energy as a function of the scattering length. We present detailed QMC data for the various quantities, and discuss the behavior of GP, modified GP, and the Bogoliubov method under a local density approximation.
Keywords
Cite
@article{arxiv.cond-mat/0506219,
title = {Correlation effects in the ground state of trapped atomic Bose gases},
author = {Wirawan Purwanto and Shiwei Zhang},
journal= {arXiv preprint arXiv:cond-mat/0506219},
year = {2007}
}
Comments
11 pages, 12 figures, as typeset using REVTEX4. Submitted to Phys. Rev. A