Quantum dynamics of three coupled atomic Bose-Einstein condensates

Nemoto, K., Holmes, C. A., Milburn, G. J. and Munro, W. J. (2001) Quantum dynamics of three coupled atomic Bose-Einstein condensates. Physical Review A, 63 1: 013604-1-013604-6. doi:10.1103/PhysRevA.63.013604

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Author Nemoto, K.
Holmes, C. A.
Milburn, G. J.
Munro, W. J.
Title Quantum dynamics of three coupled atomic Bose-Einstein condensates
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2001-12-01
Year available 2000
Sub-type Article (original research)
DOI 10.1103/PhysRevA.63.013604
Open Access Status File (Publisher version)
Volume 63
Issue 1
Start page 013604-1
End page 013604-6
Total pages 6
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract The simplest model of three coupled Bose-Einstein condensates is investigated using a group theoretical method. The stationary solutions are determined using the SU(3) group under the mean-field approximation. This semiclassical analysis, using system symmetries, shows a transition in the dynamics of the system from self trapping to delocalization at a critical value for the coupling between the condensates. The global dynamics are investigated by examination of the stable points, and our analysis shows that the structure of the stable points depends on the ratio of the condensate coupling to the particle-particle interaction, and undergoes bifurcations as this ratio is varied. This semiclassical model is compared to a full quantum treatment, which also displays a dynamical transition. The quantum case has collapse and revival sequences superimposed on the semiclassical dynamics, reflecting the underlying discreteness of the spectrum. Nonzero circular current states are also demonstrated as one of the higher-dimensional effects displayed in this system.
Keyword quantum optics
atom optics
mathematical physics
Bose-Einstein condensates
Q-Index Code C1
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
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Created: Wed, 04 Apr 2007, 21:19:23 EST by Kaye Eldridge on behalf of School of Mathematics & Physics