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Quantum Transport through Partial Barriers in Higher-Dimensional Systems
Jonas Stöber1, Arnd Bäcker1, Roland Ketzmerick1
1TU Dresden, Institute of Theoretical Physics and Center for Dynamics, 01062 Dresden, Germany.
Abstract:
Partial transport barriers in the chaotic sea of Hamiltonian systems influence classical transport, as they allow for a small flux between chaotic phase-space regions only. We find for higher-dimensional systems that quantum transport through such a partial barrier is more restrictive than expected from two-dimensional maps. We establish a universal transition from quantum suppression to mimicking classical transport. The scaling parameter involves the flux, the size of a Planck cell, and the localization length due to dynamical localization along a resonance channel. This is numerically demonstrated for coupled kicked rotors with a partial barrier that generalizes a cantorus to higher dimensions.
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