Regensburg 2013 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 33: Poster II
DY 33.55: Poster
Thursday, March 14, 2013, 17:00–19:00, Poster C
Complex paths for regular-to-chaotic tunneling rates — Normann Mertig1,2, •Steffen Löck1,2,3, Arnd Bäcker1,2, Roland Ketzmerick1,2, and Akira Shudo2,4 — 1Institut für Theoretische Physik, Technische UniversitätDresden, 01062 Dresden — 2MPI für Physik komplexer Systeme, 01187 Dresden — 3OncoRay, Technische Universität Dresden, 01307 Dresden — 4Department of Physics, Tokyo Metropolitan University, Minami-Osawa, Hachioji, Tokyo 192-0397, Japan
For generic non-integrable systems we show that a semiclassical prediction of tunneling rates between regular and chaotic phase-space regions is possible. Our prediction is based on complex paths which can be constructed despite the obstacle of natural boundaries. The semiclassically obtained tunneling rates are in excellent agreement with numerical tunneling rates for the standard map where few complex paths dominate. This gives a semiclassical foundation of the long-conjectured and often-observed exponential scaling with Planck’s constant of regular-to-chaotic tunneling rates.