Dresden 2009 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 21: Quantum chaos II

DY 21.3: Talk

Thursday, March 26, 2009, 10:45–11:00, ZEU 255

Quantum signatures of partial barriers in phase space — Arnd Bäcker, Roland Ketzmerick, and •Matthias Michler — Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

In generic Hamiltonian systems classical transport in the chaotic sea is limited by partial barriers, which allow a flux Φ given by the turnstile area. Quantum mechanically they are even more restrictive for Planck’s constant ℏ ≫ Φ, while in the opposite case classical transport is recovered. This transition is qualitatively well understood, however, many quantitative questions are still open.

We construct a kicked system with a particularly simple phase-space structure, namely two chaotic regions separated by one dominant partial barrier. This enables us to investigate the properties of eigenfunctions under variation of the ratio ℏ/Φ and to search for a universal scaling.