Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 15: ISPS Intersectional Poster Session

DY 15.12: Poster

Tuesday, March 15, 2011, 18:00–20:00, P1

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

We investigate quantum mechanical properties of 4D area preserving maps in the presence of nonlinear resonances. The focus is on regular-to-chaotic tunneling rates for designed models. For maps without resonances a prediction using the fictitious integrable system approach developed for lower dimensional systems is given. Adding nonlinearities leads to prominent peaks in the tunneling rates γ vs. 1/h which can be explained qualitatively by an examination of the structure in the frequency plane. A visualization of these resonances is provided by sections through the 4D phase space which show complex regular regions interwoven with the chaotic sea. We present eigenfunctions concentrating in the chaotic sea in between resonance regions.