Random matrix theory and equilibrium statistics for the quasienergies of classically chaotic systems

We calculate thek-level correlation function for the eigenphases of theN-dimensional Floquet operator of kicked dynamics whose classical counterpart is chaotic in the limitN by applying standard equilibrium statistical mechanics to a fictitiousN-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.