Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates

Zhou, H., Links, J. R., McKenzie, R. H. and Guan, X-W. (2003) Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates. Journal of Physics A: Mathematical and General, 36 7: L113-L119. doi:10.1088/0305-4470/36/7/104


Author Zhou, H.
Links, J. R.
McKenzie, R. H.
Guan, X-W.
Title Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates
Journal name Journal of Physics A: Mathematical and General   Check publisher's open access policy
ISSN 0305-4470
Publication date 2003-01-01
Sub-type Article (original research)
DOI 10.1088/0305-4470/36/7/104
Volume 36
Issue 7
Start page L113
End page L119
Total pages 7
Editor Corrigan, E.
Place of publication Bristol
Publisher Institute of Physics Publishing
Language eng
Subject C1
240202 Condensed Matter Physics - Structural Properties
780102 Physical sciences
Abstract A model describing coherent quantum tunnelling between two trapped Bose-Einstein condensates is discussed. It is not well known that the model admits an exact solution, obtained some time ago, with the energy spectrum derived through the algebraic Bethe ansatz. An asymptotic analysis of the Bethe ansatz equations leads us to explicit expressions for the energies of the ground and the first excited states in the limit of weak tunnelling and all energies for strong tunnelling. The results are used to extract the asymptotic limits of the quantum fluctuations of the boson number difference between the two Bose-Einstein condensates and to characterize the degree of coherence in the system.
Keyword Physics, Multidisciplinary
Physics, Mathematical
Quantum Superposition
Number Fluctuations
Bethe-ansatz
States
Dynamics
Models
Gases
Q-Index Code C1

 
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Created: Wed, 15 Aug 2007, 05:37:30 EST