Berlin 2008 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 27: Quantum chaos II

DY 27.3: Talk

Thursday, February 28, 2008, 15:00–15:15, MA 004

Dynamical tunneling rates in billiards — Arnd Bäcker, Roland Ketzmerick, and •Steffen Löck — Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

In systems with a mixed phase space regular islands are dynamically separated from the chaotic sea, while quantum mechanically these phase space regions are connected by dynamical tunneling. We present an approach using a fictitious integrable system which predicts dynamical tunneling rates from regular states to the chaotic sea in billiards. A comparison with numerical results, for e.g. the mushroom billiard and the annular billiard, shows excellent agreement.