Limiting quasienergy statistics for simple quantum systems

Abstract

The limiting distribution P(s) of quasienergy-level spacings is investigated for a quantum model which is stochastic in the classical limit. The numerical results show that in the case of a strong perturbation, the distribution P(s) corresponds closely to the Wigner-Dyson distribution. The relations between the limiting distribution P(s) and the symmetries of both the unperturbed and perturbed motions are independently investigated.