Simulations of thermal Bose fields in the classical limit

Davis, M. J., Morgan, S. A. and Burnett, K. (2002) Simulations of thermal Bose fields in the classical limit. Physical Review A, 66 5: 053618-1-053618-15. doi:10.1103/PhysRevA.66.053618

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Author Davis, M. J.
Morgan, S. A.
Burnett, K.
Title Simulations of thermal Bose fields in the classical limit
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2002-01-01
Sub-type Article (original research)
DOI 10.1103/PhysRevA.66.053618
Open Access Status File (Publisher version)
Volume 66
Issue 5
Start page 053618-1
End page 053618-15
Total pages 15
Editor B Crasemann
Place of publication United States
Publisher American Physical Society
Language eng
Subject C1
240301 Atomic and Molecular Physics
780102 Physical sciences
Abstract We demonstrate that the time-dependent projected Gross-Pitaevskii equation (GPE) derived earlier [M. J. Davis, R. J. Ballagh, and K. Burnett, J. Phys. B 34, 4487 (2001)] can represent the highly occupied modes of a homogeneous, partially-condensed Bose gas. Contrary to the often held belief that the GPE is valid only at zero temperature, we find that this equation will evolve randomized initial wave functions to a state describing thermal equilibrium. In the case of small interaction strengths or low temperatures, our numerical results can be compared to the predictions of Bogoliubov theory and its perturbative extensions. This demonstrates the validity of the GPE in these limits and allows us to assign a temperature to the simulations unambiguously. However, the GPE method is nonperturbative, and we believe it can be used to describe the thermal properties of a Bose gas even when Bogoliubov theory fails. We suggest a different technique to measure the temperature of our simulations in these circumstances. Using this approach we determine the dependence of the condensate fraction and specific heat on temperature for several interaction strengths, and observe the appearance of vortex networks. Interesting behavior near the critical point is observed and discussed.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Einstein Condensation
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Physical Sciences Publications
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Created: Wed, 15 Aug 2007, 03:27:36 EST