Regensburg 2010 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 19: Quantum Chaos

DY 19.7: Talk

Wednesday, March 24, 2010, 15:45–16:00, H38

Dynamical tunneling in 4D area preserving maps — Arnd Bäcker, Roland Ketzmerick, and •Martin Richter — Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

Higher dimensional systems show a very involved phase-space structure including complex regular regions interwoven with the Arnol’d web. For such systems we want to investigate the regular-to-chaotic tunneling rates. We focus on 4D area preserving maps. As a first step we introduce some simple models with well separated chaotic and regular regions and visualize them by sections through the 4D phase space. We present a prediction of tunneling rates using the fictitious integrable system approach which has been developed for lower dimensional systems.