Regular-to-chaotic tunneling rates using a fictitious integrable system

Details Regular-to-chaotic tunneling rates using a fictitious integrable system Regular-to-chaotic tunneling rates using a fictitious integrable system

2007-07-02

arxiv.org/abs/0707.0217v2

Phys. Rev. Lett. 100, 104101 (2008)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.100.104101

We derive a formula predicting dynamical tunneling rates from regular states to the chaotic sea in systems with a mixed phase space. Our approach is based on the introduction of a fictitious integrable system that resembles the regular dynamics within the island. For the standard map and other kicked systems we find agreement with numerical results for all regular states in a regime where resonance-assisted tunneling is not relevant.

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