title: Failure of random matrix theory to correctly describe quantum dynamics.
abstract: Consider a classically chaotic system that is described by a Hamiltonian H(0). At t=0 the Hamiltonian undergoes a sudden change (H)0-->H. We consider the quantum-mechanical spreading of the evolving energy distribution, and argue that it cannot be analyzed using a conventional random-matrix theory (RMT) approach. Conventional RMT can be trusted only to the extent that it gives trivial results that are implied by first-order perturbation theory. Nonperturbative effects are sensitive to the underlying classical dynamics, and therefore the Planck's over 2 pi-->0 behavior for effective RMT models is strikingly different from the correct semiclassical limit.
authors.affiliation: Max-Planck-Institut für Strömungsforschung, 37073 Göttingen, Germany.
authors.forename: T
authors.initials: T
authors.lastname: Kottos
authors.forename: D
authors.initials: D
authors.lastname: Cohen