Localization in discontinuous quantum systems

摘要

Classical and quantum properties of a discontinuous perturbed twist map areinvestigated. Different classical diffusive regimes, quasilinear and slowrespectively, are observed. The regime of slow classical diffusion gives riseto two distinct quantal regimes, one marked by dynamical localization, theother by quasi-integrable localization due to classical Cantori. In both casesthe resulting quantum stationary distributions are algebraically localized.