Abstract
Classical Kolmogorov-Arnol'd-Moser tori and cantori are found to act as barriers in the quantum dynamics of a kicked rotator. In their vicinity the asymptotic distribution decays exponentially. The penetration depth of a Kolmogorov-Arnol'd-Moser torus scales as and the penetration probability as . Cantori can inhibit the diffusive growth of mean square displacements and thus act as barriers more drastically than in classical systems.
- Received 18 August 1986
DOI:https://doi.org/10.1103/PhysRevLett.57.2883
©1986 American Physical Society