Abstract

It is well established that classical chaotic motion is suppressed by quantum mechanics. A paradigm theoretical system for the study of this suppression is the kicked rotor, where the suppression manifests itself as dynamical localization. This effect is the saturation of momentum growth after the quantum break time, with a resulting exponentially localized distribution. Classical analyses of this system have also identified regimes of anomalous diffusion, characterized by Lévy flights in phase space.¹ This behavior is considerably more complex than normal diffusion and has attracted much interest in recent years. In the quantum case, recent theoretical work suggests that the transport properties of the system can again be strongly modifïed when anomalous diffusion occurs in the classical system.²

© 1999 Optical Society of America