Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 27: Quantum chaos III

DY 27.6: Talk

Thursday, March 29, 2007, 12:30–12:45, H2

Temporal flooding of regular islands by chaotic wave packets — Arnd Bäcker, •Lars Bittrich, and Roland Ketzmerick — Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

We investigate the time evolution of wave packets in systems with a mixed phase space where regular islands and chaotic motion coexist. If a wave packet is started in the chaotic sea, the weight on a quantized torus of the regular island increases with time until a saturation plateau is reached. This saturation value varies from torus to torus with a maximum value corresponding to a uniform distribution of the wave packet. The initial behaviour of this flooding process is quantitatively described by dynamical tunneling rates. The saturation value is obtained from a suitable random matrix model. The results are in good agreement with numerical data.