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Nuclear Physics A

A two-level solvable model involving competing pairing interactions

G.G. Dussel, E.E. Maqueda, R.P.J. Perazzo, Jared A. Evans

Published Dec 1, 1986• 29 citations
Publisher
DOI
10.1016/0375-9474(86)90122-3

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Using a class of exactly solvable models based on the pairing interaction, we show that it is possible to construct integrable Hamiltonians with a Wigner distribution of nearest-neighbor level spacings. However, these Hamiltonians involve many-body interactions and the addition of a small integrable perturbation very quickly leads the system to a Poisson distribution. Besides this exceptional case, we show that the accumulated distribution of an ensemble of random integrable two-body pairing Hamiltonians is in perfect agreement with the Poisson limit. These numerical results for quantum integrable Hamiltonians provide a further empirical confirmation of the work of Berry and Tabor in the semiclassical limit.