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

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

2004-06-18

arxiv.org/abs/quant-ph/0406125v1

Physics

Quantum Physics

5 pages, 4 figures, revtex

Scientific paper

10.1088/1742-5468/2004/10/P10019

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.

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