Regensburg 2010 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 19: Quantum Chaos
DY 19.6: Talk
Wednesday, March 24, 2010, 15:30–15:45, H38
Regular-to-Chaotic Tunneling Rates: From the Quantum to the Semiclassical Regime — •Steffen Löck1, Arnd Bäcker1, Roland Ketzmerick1, and Peter Schlagheck2 — 1Institut für Theoretische Physik, Technische Universität Dresden, 01062 Germany — 2Département de Physique, Université de Liège, 4000 Liège, Belgium
In systems with a mixed phase space, regular islands are dynamically separated from the chaotic sea, while quantum mechanically these phase-space regions are connected by dynamical tunneling. We derive a prediction of dynamical tunneling rates of regular states to the chaotic sea by combining the direct regular-to-chaotic tunneling mechanism in the quantum regime with an improved resonance-assisted tunneling theory in the semiclassical regime. For systems with one or multiple dominant nonlinear resonances we find excellent agreement to numerics.