Condensate fraction of cold gases in non-uniform external potential

Abstract

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.

4 pages, 2 figures

References in corpus (5)

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• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
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• Bogoliubov approach to superfluid-Bose glass phase transition of a disordered Bose-Hubbard Model in weakly interacting regime
• A grand-canonical approach to the disordered Bose gas
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• Quantum Information Measures in Quartic and Symmetric Potentials using perturbative approach
• Global and local condensate and superfluid fraction of a few hard core bosons in a cubic optical lattice plus external harmonic confinement