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DY: Fachverband Dynamik und Statistische Physik

DY 29: Posters II

DY 29.5: Poster

Donnerstag, 29. März 2012, 17:00–19:00, Poster A

Spectral Statistics in Systems with a Mixed Phase Space — Arnd Bäcker^{1, 2}, •Steffen Löck¹, Normann Mertig^{1, 2}, and Torsten Rudolf¹ — ¹Technische Universität Dresden, Institut für Theoretische Physik, 01062 Dresden — ²MPI für Physik komplexer Systeme, 01187 Dresden

We study the consequences of flooding on spectral statistics in systems with a mixed phase space, in which regions of regular and chaotic motion coexist. With increasing density of states we observe a transition of the level-spacing distribution P(s) from Berry-Robnik to Wigner statistics, although the underlying classical phase space remains unchanged. In order to explain this transition we present a flooding improved Berry-Robnik distribution which accounts for the disappearance of regular states. Furthermore, we extend this prediction by explicitly considering the tunneling couplings between regular and chaotic states [1]. We show that this approach excellently reproduces the observed transition of the level-spacing distribution and additionally describes the power-law level repulsion at small spacings.
[1] A. Bäcker, R. Ketzmerick, S. Löck, and N. Mertig, Phys. Rev. Lett. 106, 024101 (2011).