Regular-to-chaotic tunneling rates: From the quantum to the semiclassical regime

Steffen Löck

Technische Universität Dresden, Institut für Theoretische Physik,
Department Computational Physics, Dresden, Germany

We derive a prediction of dynamical tunneling rates from regular to chaotic phase space-regions combining the approach using a fictitious integrable system in the quantum regime with an improved resonance-assisted tunneling theory in the semiclassical regime. We give a qualitative recipe for identifying the relevance of resonances in a given ℏ - regime. For systems with one or multiple dominant nonlinear resonances we find excellent agreement to numerics.

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