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Title: Condensate fraction of cold gases in a nonuniform external potential

Abstract

Exact calculation of the condensate fraction in multidimensional inhomogeneous interacting Bose systems in a confining potential of arbitrary shape is a difficult computational problem. We have developed an iterative procedure which allows us 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 the relation between different criteria used for testing coherence in cold Bose systems, such as the fraction of particles that are superfluid, condensed, or in the zero-momentum state.

Authors:
 [1];  [2]
  1. Departament de Fisica i Enginyeria Nuclear, Campus Nord B4-B5, Universitat Politecnica de Catalunya, E-08034 Barcelona (Spain)
  2. Fakultaet fuer Physik der Universitaet Duisburg-Essen, Campus Duisburg, Lotharstrasse 1, D-47048 Duisburg (Germany)
Publication Date:
OSTI Identifier:
22068617
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; BOSE-EINSTEIN GAS; COMPUTERIZED SIMULATION; CONDENSATES; DENSITY MATRIX; DIFFUSION; EIGENFUNCTIONS; GASES; ITERATIVE METHODS; MONTE CARLO METHOD; POTENTIALS; SUPERFLUIDITY

Citation Formats

Astrakharchik, G. E., and Krutitsky, K. V. Condensate fraction of cold gases in a nonuniform external potential. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.031604.
Astrakharchik, G. E., & Krutitsky, K. V. Condensate fraction of cold gases in a nonuniform external potential. United States. doi:10.1103/PHYSREVA.84.031604.
Astrakharchik, G. E., and Krutitsky, K. V. Thu . "Condensate fraction of cold gases in a nonuniform external potential". United States. doi:10.1103/PHYSREVA.84.031604.
@article{osti_22068617,
title = {Condensate fraction of cold gases in a nonuniform external potential},
author = {Astrakharchik, G. E. and Krutitsky, K. V.},
abstractNote = {Exact calculation of the condensate fraction in multidimensional inhomogeneous interacting Bose systems in a confining potential of arbitrary shape is a difficult computational problem. We have developed an iterative procedure which allows us 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 the relation between different criteria used for testing coherence in cold Bose systems, such as the fraction of particles that are superfluid, condensed, or in the zero-momentum state.},
doi = {10.1103/PHYSREVA.84.031604},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}