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arXiv · 0707.0217

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

A. Bäcker·R. Ketzmerick·S. Löck·L. Schilling
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Abstract

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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A. Bäcker, R. Ketzmerick, S. Löck, L. Schilling. 2008-03-18. Regular-to-chaotic tunneling rates using a fictitious integrable system. https://doi.org/10.1103/physrevlett.100.104101

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