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Unexpected features of quantum degeneracies in a pairing model with two integrable limits

Abstract : The evolution pattern of level crossings and exceptional points is studied in a non-integrable pairing model with two different integrable limits. One of the integrable limits has two independent parameter-dependent integrals of motion. We demonstrate, and illustrate in our model, that quantum integrability of a system with more than one parameter-dependent integral of motion is always signaled by level crossings of a complex-extended Hamiltonian. We also find that integrability implies a reduced number of exceptional points. Both properties could uniquely characterize quantum integrability in small Hilbert spaces.
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Contributor : Michel Lion <>
Submitted on : Monday, September 14, 2009 - 9:18:21 AM
Last modification on : Monday, November 23, 2020 - 12:52:03 PM

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J. Dukelsky, J. Okolowicz, M. Ploszajczak. Unexpected features of quantum degeneracies in a pairing model with two integrable limits. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2009, pp.L07001. ⟨10.1088/1742-5468/2009/07/L07001⟩. ⟨in2p3-00416376⟩

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