Dynamical Tunneling in Many-Dimensional Chaotic Systems

Abstract

We investigate dynamical tunneling in many-dimensional systems using a quasiperiodically modulated kicked rotor, and find that the tunneling rate from the torus to the chaotic region is drastically enhanced when the chaotic states become delocalized as a result of the Anderson transition. This result strongly suggests that amphibious states, which were discovered for a one-dimensional kicked rotor with transporting islands [L. Hufnagel, Phys. Rev. Lett. 89, 154101 (2002)], quite commonly appear in many-dimensional systems.