Regensburg 2013 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 33: Poster II

DY 33.55: Poster

Donnerstag, 14. März 2013, 17:00–19:00, Poster C

Complex paths for regular-to-chaotic tunneling rates — Normann Mertig^1,2, •Steffen Löck^1,2,3, Arnd Bäcker^1,2, Roland Ketzmerick^1,2, and Akira Shudo^2,4 — 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.