Abstract
We study the distribution of energy level spacings in two models describing coupledsingle-mode Bose–Einstein condensates. Both models have a fixed number of degrees offreedom, which is small compared to the number of interaction parameters, and isindependent of the dimensionality of the Hilbert space. We find that the distributionfollows a universal Poisson form independent of the choice of coupling parameters, which isindicative of the integrability of both models. These results complement those forintegrable lattice models where the number of degrees of freedom increases with increasingdimensionality of the Hilbert space. Finally, we also show that for one model the inclusionof an additional interaction which breaks the integrability leads to a non-Poissondistribution.
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