Dresden 2006 – scientific programme

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DY: Dynamik und Statistische Physik

DY 15: Quantum Chaos

DY 15.6: Talk

Monday, March 27, 2006, 16:15–16:30, SCH 251

Randomization of time-evolved wave-packets in chaotic quantum systems — •Nikolai Hlubek and Arnd Bäcker — Institut für Theoretische Physik, TU Dresden, 01062 Dresden

The time-evolution of initially localized wave-packets is studied for the case of quantum billiards with classically chaotic dynamics. For large times one expects that the wave-packet resembles a random wave. This implies that the intensity distribution is an exponential, which is confirmed by our results. In contrast to stationary states, we demonstrate that the spatial autocorrelation is different from the usual Bessel function behaviour. Of particular interest is the time-scale for which the randomization sets in. It turns out that this is much smaller than the Heisenberg time and we investigate its relation to the Ehrenfest time.