Quantum Transport through Partial Barriers in Higher-Dimensional Systems.
- Resource Type
- Academic Journal
- Authors
- Stöber J; TU Dresden, Institute of Theoretical Physics and Center for Dynamics, 01062 Dresden, Germany.; Bäcker A; TU Dresden, Institute of Theoretical Physics and Center for Dynamics, 01062 Dresden, Germany.; Ketzmerick R; TU Dresden, Institute of Theoretical Physics and Center for Dynamics, 01062 Dresden, Germany.
- Source
- Publisher: American Physical Society Country of Publication: United States NLM ID: 0401141 Publication Model: Print Cited Medium: Internet ISSN: 1079-7114 (Electronic) Linking ISSN: 00319007 NLM ISO Abbreviation: Phys Rev Lett Subsets: PubMed not MEDLINE; MEDLINE
- Subject
- Language
- English
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.