Regular-to-chaotic tunneling rates using a fictitious integrable system.
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.
Bäcker
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Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany.
Ketzmerick
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R
Löck
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S
Schilling
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