RANDOM-MATRIX THEORY AND EQUILIBRIUM STATISTICS FOR THE QUASI-ENERGIES OF CLASSICALLY CHAOTIC SYSTEMS

We calculate the k-level correlation function for the eigenphases of the N-dimensional Floquet operator of kicked dynamics whose classical counterpart is chaotic in the limit N --> infinity by applying standard equilibrium statistical mechanics to a fictitious N-particle system which is constructed from the eigenvalue equation of the Floquet operator and show that they become equal to those of random matrices from the circular ensemble associated with the appropriate universality class.