Comparative study of dynamical simulation methods for the dissociation of molecular Bose-Einstein condensates

Midgley, S. L. W., Wüster, S., Olsen, M. K., Davis, M. J. and Kheruntsyan, K. V. (2009) Comparative study of dynamical simulation methods for the dissociation of molecular Bose-Einstein condensates. Physical Review A, 79 5: 053632-1-053632-10. doi:10.1103/PhysRevA.79.053632

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Author Midgley, S. L. W.
Wüster, S.
Olsen, M. K.
Davis, M. J.
Kheruntsyan, K. V.
Title Comparative study of dynamical simulation methods for the dissociation of molecular Bose-Einstein condensates
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2009-05-20
Year available 2009
Sub-type Article (original research)
DOI 10.1103/PhysRevA.79.053632
Open Access Status File (Publisher version)
Volume 79
Issue 5
Start page 053632-1
End page 053632-10
Total pages 10
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract We describe a pairing mean-field theory related to the Hartree-Fock-Bogoliubov approach, and apply it to the dynamics of dissociation of a molecular Bose-Einstein condensate into correlated bosonic atom pairs. We also perform the same simulation using two stochastic phase-space techniques for quantum dynamics—the positive-P representation method and the truncated Wigner method. By comparing the results of our calculations we are able to assess the relative strengths of these theoretical techniques in describing molecular dissociation in one spatial dimension. An important aspect of our analysis is the inclusion of atom-atom interactions, which can be problematic for the positive-P method. We find that the truncated Wigner method mostly agrees with the positive-P simulations, but can be simulated for significantly longer times. The pairing mean-field theory results diverge from the quantum dynamical methods after relatively short times.
Keyword Bose-Einstein condensation
1st-principles quantum dynamics
Q-Index Code C1
Q-Index Status Confirmed Code
Grant ID CE0348178
DP0343094
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
2010 Higher Education Research Data Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 10 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 9 times in Scopus Article | Citations
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Created: Thu, 03 Sep 2009, 17:58:33 EST by Mr Andrew Martlew on behalf of ARC Centre of Excellence for Quantum-Atom Optics