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DY: Fachverband Dynamik und Statistische Physik

DY 23: Quantum Chaos I

DY 23.2: Vortrag

Donnerstag, 29. März 2012, 09:45–10:00, MA 001

Complex paths for regular-to-chaotic tunneling rates — Arnd Bäcker^1,2, Roland Ketzmerick^1,2, Steffen Löck¹, •Normann Mertig^1,2, and Akira Shudo^3,2 — ¹Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden — ²MPI für Physik komplexer Systeme, 01187 Dresden — ³Department of Physics, Tokyo Metropolitan University, Minami-Osawa, Hachioji, Tokyo 192-0397, Japan

In generic Hamiltonian systems tori of regular motion are dynamically separated from regions of chaotic motion in phase space. Quantum mechanically these phase-space regions are coupled by dynamical tunneling. Based on complex paths, we present a semiclassical prediction of dynamical tunneling rates from regular tori to the chaotic region. This prediction is in excellent agreement with numerically determined tunneling rates of the standard map.