Regular-to-Chaotic Tunneling Rates: From the Quantum to the Semiclassical Regime

Abstract

We derive a prediction of dynamical tunneling rates from regular to chaotic phase-space regions combining the direct regular-to-chaotic tunneling mechanism 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 nonlinear resonances in a given $\hslash$-regime. For systems with one or multiple dominant resonances we find excellent agreement to numerics.

4 pages, 3 figures, reference added, small text changes

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