Quantum-classical correspondence in perturbed chaotic systems.
We discuss the behavior of fidelity for a classically chaotic quantum system. We show the existence of a critical value of the perturbation above which the quantum decay, exponential or power law, follows the classical one. The independence of the decay rate of the perturbation strength, discussed in the literature, is a consequence of the quantum-classical correspondence of the relaxation process.
International Center for the Study of Dynamical Systems, Università degli Studi dell'InsubriaIstituto Nazionale per la Fisica della Materia, Unità di Como, Via Valleggio 11, 22100 Como, Italy.
Giuliano
G
Benenti
Giulio
G
Casati