Condensate fraction of cold gases in non-uniform external potential

Details Condensate fraction of cold gases in non-uniform external potential Condensate fraction of cold gases in non-uniform external potential

2011-02-17

arxiv.org/abs/1102.3565v1

Physics

Condensed Matter

Quantum Gases

4 pages, 2 figures

Scientific paper

Exact calculation of the condensate fraction in multi-dimensional inhomogeneous interacting Bose systems which do not possess continuous symmetries is a difficult computational problem. We have developed an iterative procedure which allows to calculate the condensate fraction as well as the corresponding eigenfunction of the one-body density matrix. We successfully validate this procedure in diffusion Monte Carlo simulations of a Bose gas in an optical lattice at zero temperature. We also discuss relation between different criteria used for testing coherence in cold Bose systems, such as fraction of particles that are superfluid, condensed or are in the zero-momentum state.

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