Energy level statistics for models of coupled single-mode Bose-Einstein condensates

Dahmen, Silvio R., Links, Jon, McKenzie, Ross H. and Zhou, Huan-Qiang (2004) Energy level statistics for models of coupled single-mode Bose-Einstein condensates. Journal of Statistical Mechanics: Theory and Experiment, October 2004 10: P10019-1-P10019-9. doi:10.1088/1742-5468/2004/10/P10019


Author Dahmen, Silvio R.
Links, Jon
McKenzie, Ross H.
Zhou, Huan-Qiang
Title Energy level statistics for models of coupled single-mode Bose-Einstein condensates
Journal name Journal of Statistical Mechanics: Theory and Experiment   Check publisher's open access policy
ISSN 1742-5468
Publication date 2004-10-29
Year available 2004
Sub-type Article (original research)
DOI 10.1088/1742-5468/2004/10/P10019
Volume October 2004
Issue 10
Start page P10019-1
End page P10019-9
Total pages 9
Place of publication Bristol, U.K.
Publisher Institute of Physics Publishing
Language eng
Subject C1
240202 Condensed Matter Physics - Structural Properties
780102 Physical sciences
Abstract We study the distribution of energy level spacings in two models describing coupled single-mode Bose-Einstein condensates. Both models have a fixed number of degrees of freedom, which is small compared to the number of interaction parameters, and is independent of the dimensionality of the Hilbert space. We find that the distribution follows a universal Poisson form independent of the choice of coupling parameters, which is indicative of the integrability of both models. These results complement those for integrable lattice models where the number of degrees of freedom increases with increasing dimensionality of the Hilbert space. Finally, we also show that for one model the inclusion of an additional interaction which breaks the integrability leads to a non-Poisson distribution.
Keyword quantum integrability (Bethe ansatz)
Bose Einstein condensation (theory)
Q-Index Code C1
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Created: Wed, 15 Aug 2007, 14:21:49 EST