Regular-to-chaotic tunneling rates: from the quantum to the semiclassical regime.
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 variant Planck's over 2pi regime. For systems with one or multiple dominant resonances we find excellent agreement to numerics.
Löck
Steffen
S
Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany.
Bäcker
Arnd
A
Ketzmerick
Roland
R
Schlagheck
Peter
P