Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 29: Quantum Chaos I

DY 29.8: Talk

Thursday, March 17, 2011, 12:00–12:15, ZEU 255

Flooding Signatures in Spectral Statistics — Arnd Bäcker^{1, 2}, Steffen Löck¹, Normann Mertig¹, and •Torsten Rudolf¹ — ¹Technische Universität Dresden, Institut für Theoretische Physik, 01062 Dresden — ²MPI für Physik komplexer Systeme, 01187 Dresden

We investigate the consequences of flooding on spectral statistics in systems with a mixed phase space, where regions of regular and chaotic motion coexist. Quantum mechanically, eigenstates are typically concentrated on regular tori or in the chaotic sea. However, when increasing the coupling between the regular and the chaotic region, the chaotic states flood the regular island and simultaneously the regular states disappear. We demonstrate that flooding has a significant impact on the level-spacing distribution, which shows a transition from Berry-Robnik statistics in the semiclassical regime to Wigner statistics in the flooding regime.