Berlin 2012 – wissenschaftliches Programm
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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 Bäcker1,2, Roland Ketzmerick1,2, Steffen Löck1, •Normann Mertig1,2, and Akira Shudo3,2 — 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.