Correlation effects in the ground state of trapped atomic Bose gases

Details Correlation effects in the ground state of trapped atomic Bose gases Correlation effects in the ground state of trapped atomic Bose gases

2005-06-09

arxiv.org/abs/cond-mat/0506219v1

Phys. Rev. A 72, 053610 (2005)

Physics

Condensed Matter

Other Condensed Matter

11 pages, 12 figures, as typeset using REVTEX4. Submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.72.053610

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.

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