Dynamical Tunneling in Many-Dimensional Chaotic Systems
arXiv:1005.4467 · doi:10.1103/PhysRevLett.104.224102
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.
4 pages, 5 figures
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Cited by in corpus (5)
- Visualization and comparison of classical structures and quantum states of 4D maps
- Integrability in time-dependent systems with one degree of freedom
- Chaos-assisted tunneling in the presence of Anderson localization
- Consequences of Flooding on Spectral Statistics
- Temporal flooding of regular islands by chaotic wave packets