Dynamical Tunneling in Many-Dimensional Chaotic Systems

Details Dynamical Tunneling in Many-Dimensional Chaotic Systems Dynamical Tunneling in Many-Dimensional Chaotic Systems

2010-05-25

arxiv.org/abs/1005.4467v1

Phys. Rev. Lett. 104, 224102 (2010)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.104.224102

We investigate dynamical tunneling in many dimensional systems using a quasi-periodically 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 et al., Phys. Rev. Lett. 89, 154101 (2002)], quite commonly appear in many dimensional systems.

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