Pairing mean-field theory for the dynamics of dissociation of molecular Bose-Einstein condensates.

Davis, M. J., Thwaite, S. J., Olsen, M. K. and Kheruntsyan, K. V (2008) Pairing mean-field theory for the dynamics of dissociation of molecular Bose-Einstein condensates.. Physical Review A (Atomic, Molecular and Optical Physics), 77 2: 023617-1-023617-16. doi:10.1103/PhysRevA.77.023617

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Author Davis, M. J.
Thwaite, S. J.
Olsen, M. K.
Kheruntsyan, K. V
Title Pairing mean-field theory for the dynamics of dissociation of molecular Bose-Einstein condensates.
Journal name Physical Review A (Atomic, Molecular and Optical Physics)   Check publisher's open access policy
ISSN 1050-2947
Publication date 2008-02-15
Year available 2008
Sub-type Article (original research)
DOI 10.1103/PhysRevA.77.023617
Open Access Status File (Publisher version)
Volume 77
Issue 2
Start page 023617-1
End page 023617-16
Total pages 16
Place of publication College Park, MD, United States
Publisher American Physcial Society
Language eng
Abstract We develop a pairing mean-field theory to describe the quantum dynamics of the dissociation of molecular Bose-Einstein condensates into their constituent bosonic or fermionic atoms. We apply the theory to one-, two-, and three-dimensional geometries and analyze the role of dimensionality on the atom production rate as a function of the dissociation energy. As well as determining the populations and coherences of the atoms, we calculate the correlations that exist between atoms of opposite momenta, including the column density correlations in three-dimensional systems. We compare the results with those of the undepleted molecular field approximation and argue that the latter is most reliable in fermionic systems and in lower dimensions. In the bosonic case we compare the pairing mean-field results with exact calculations using the positive-P stochastic method and estimate the range of validity of the pairing mean-field theory. Comparisons with similar first-principle simulations in the fermionic case are currently not available, however, we argue that the range of validity of the present approach should be broader for fermions than for bosons in the regime where Pauli blocking prevents complete depletion of the molecular condensate.
Keyword positive P representation
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 17 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 15 times in Scopus Article | Citations
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Created: Wed, 08 Apr 2009, 00:48:55 EST by Stephanie Golding on behalf of ARC Centre of Excellence for Quantum-Atom Optics