Regensburg 2010 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 6: Poster Session I

DY 6.37: Poster

Monday, March 22, 2010, 16:00–18:00, Poster B2

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 h ≫ Φ, while for h ≪ Φ 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, having two chaotic regions separated by one dominant partial barrier. We find a universal scaling with the single parameter Φ/h and the transition at Φ/h = π²/4. The results are not described by the random matrix model for partial barriers [Bohigas et. al. 1993]. Alternative quantum models for this transition are presented.