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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 Bäcker1, 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.