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DY: Fachverband Dynamik und Statistische Physik

DY 21: Quantum chaos II

DY 21.5: Talk

Thursday, March 26, 2009, 11:15–11:30, ZEU 255

Power--Law Level--Statistics due to Dynamical Tunneling — Arnd Bäcker, Roland Ketzmerick, Steffen Löck, and •Normann Mertig — Institut für Theoretische Physik, Technische Universität Dresden, 01062 Germany

We study level--spacing statistics for systems with a mixed phase space, where regular and chaotic regions coexist. Assuming statistical independence of the corresponding subspectra, spacings are described by the Berry--Robnik distribution. However due to dynamical tunneling, regular and chaotic states are coupled. This leads to small avoided crossings, which vary in size over many orders of magnitude, depending on the regular state involved. We demonstrate that this implies a power law of the level--spacing distribution for small spacings.