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DY: Dynamik und Statistische Physik

DY 13: Quantum Chaos

DY 13.1: Hauptvortrag

Freitag, 4. März 2005, 14:00–14:30, TU H2032

Directed chaos in a mixed phase space — •Holger Schanz — Max-Planck-Institut für Strömungsforschung und Institut für Nichtlineare Dynamik der Universität Göttingen, Bunsenstr. 10, 37073 Göttingen

In generic Hamiltonian systems regular and chaotic dynamics coexist in phase space. What happens when such systems are used to transport particles over a long distance? While global chaos leads to diffusion, chaotic transport may be directed and ballistic in a mixed phase space. This can be applied to rectify oscillating forces in a periodic potential without any dissipation, i.e., as a Hamiltonian ratchet. However, we address directed chaos also for undriven and for scattering systems.
Classical and quantum transport are in correspondence for a finite time only. After that tunneling and localization dominate. In the case of directed chaos localization can occur either in phase space or in configuration space, with different consequences for the long-time dynamics. We elucidate how in either case quantum transport is encoded in phase-space structures of the eigenstates.