Regular-to-chaotic tunneling rates using the fictitious integrable system approach

Steffen Löck

Institut für Theoretische Physik, Technische Universität Dresden

We present the fictitious integrable system approach which predicts dynamical tunneling rates from regular states to the chaotic region in systems with a mixed phase space. It is based on the introduction of a fictitious integrable system that resembles the regular dynamics within the regular island. We consider the direct regular-to-chaotic and the resonance-assisted tunneling process for quantum maps and billiard systems. Excellent agreement with numerical rates will be demonstrated.

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