Dresden 2011 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 15: ISPS Intersectional Poster Session
DY 15.13: Poster
Dienstag, 15. März 2011, 18:00–20:00, P1
Is there universality in the quantum transport of partial barriers? — Arnd Bäcker1,2, Roland Ketzmerick1,2, and •Matthias Michler1 — 1Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany — 2MPI für Physik komplexer Systeme, 01187 Dresden
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 study the standard map and a designed kicked system, where both have two chaotic regions separated by one dominant partial barrier. We find scaling with the single parameter Φ/h, however with different functional dependence. The origin of the different scaling behavior is an open problem.