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arXiv · 1005.4467

Dynamical Tunneling in Many-Dimensional Chaotic Systems

Akiyuki Ishikawa·Atushi Tanaka·Akira Shudo
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Abstract

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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Akiyuki Ishikawa, Atushi Tanaka, Akira Shudo. 2010-05-25. Dynamical Tunneling in Many-Dimensional Chaotic Systems. https://doi.org/10.1103/physrevlett.104.224102

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