Pair correlation function of an inhomogeneous interacting Bose-Einstein condensate
摘要
We calculate the pair correlation function of an interacting Bose gas in a harmonic trap directly via Path Integral Quantum Monte Carlo simulation for various temperatures and compare the numerical result with simple approximative treatments. Around the critical temperature of Bose-Einstein condensation, a description based on the Hartree-Fock approximation is found to be accurate. At low temperatures the Hartree-Fock approach fails and we use a local density approximation based on the Bogoliubov description for a homogeneous gas. This approximation agrees with the simulation results at low temperatures, where the contribution of the phonon-like modes affects the long range behavior of the correlation function. Further we discuss the relation between the pair correlation and quantities measured in recent experiments.
引用
@article{arxiv.physics/9812029,
title = {Pair correlation function of an inhomogeneous interacting Bose-Einstein condensate},
author = {M. Holzmann and Y. Castin},
journal= {arXiv preprint arXiv:physics/9812029},
year = {2009}
}
备注
12 pages, 2 figures, submitted to EPJ D