Precision Monte Carlo Test of the Hartree-Fock Approximation for a trapped Bose Gas

Details Precision Monte Carlo Test of the Hartree-Fock Approximation for a trapped Bose Gas Precision Monte Carlo Test of the Hartree-Fock Approximation for a trapped Bose Gas

1998-06-17

arxiv.org/abs/cond-mat/9806201v1

Phys. Rev. A 59, 2956 (1999)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, revtex

Scientific paper

10.1103/PhysRevA.59.2956

We compare the semiclassical Hartree-Fock approximation for a trapped Bose gas to a direct Path Integral Quantum Monte Carlo simulation. The chosen parameters correspond to current Rb experiments. We observe corrections to the mean-field density profile. The Path Integral calculation reveals an increase of the number of condensed particles, which is of the same order as a previously computed result for a homogeneous system. We discuss the experimental observability of the effect and propose a method to analyze data of in-situ experiments.

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