Projected Gross-Pitaevskii equation for harmonically confined Bose gases at finite temperature

Blakie, P. Blair and Davis, Matthew J. (2005) Projected Gross-Pitaevskii equation for harmonically confined Bose gases at finite temperature. Physical Review A, 72 6: 063608-1-063608-12. doi:10.1103/PhysRevA.72.063608

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Author Blakie, P. Blair
Davis, Matthew J.
Title Projected Gross-Pitaevskii equation for harmonically confined Bose gases at finite temperature
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2005
Sub-type Article (original research)
DOI 10.1103/PhysRevA.72.063608
Open Access Status File (Publisher version)
Volume 72
Issue 6
Start page 063608-1
End page 063608-12
Total pages 12
Editor B Crasemann
Place of publication College Pk
Publisher American Physical Society
Collection year 2005
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
Abstract We extend the projected Gross-Pitaevskii equation formalism of Davis [Phys. Rev. Lett. 87, 160402 (2001)] to the experimentally relevant case of thermal Bose gases in harmonic potentials and outline a robust and accurate numerical scheme that can efficiently simulate this system. We apply this method to investigate the equilibrium properties of the harmonically trapped three-dimensional projected Gross-Pitaevskii equation at finite temperature and consider the dependence of condensate fraction, position, and momentum distributions and density fluctuations on temperature. We apply the scheme to simulate an evaporative cooling process in which the preferential removal of high-energy particles leads to the growth of a Bose-Einstein condensate. We show that a condensate fraction can be inferred during the dynamics even in this nonequilibrium situation.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Classical-field Approximation
Einstein Condensation
Dynamics
Q-Index Code C1

 
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Created: Wed, 15 Aug 2007, 07:00:51 EST