Does chaos assist localization or delocalization?

We aim at a long-standing contradiction between chaos-assisted tunneling and chaos-related localization study quantum transport of a single particle held in an amplitude-modulated and tilted optical lattice. We find some near-resonant regions crossing chaotic and regular regions in the parameter spa...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2014-12, Vol.24 (4), p.043114-043114
Main Authors: Tan, Jintao, Lu, Gengbiao, Luo, Yunrong, Hai, Wenhua
Format: Article
Language:English
Subjects:
AMPLITUDES
CHAOS THEORY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Localization
Optical lattices
Parameters
Quantum transport
RESONANCE
SOLIDS
TUNNEL EFFECT
VELOCITY
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Summary:We aim at a long-standing contradiction between chaos-assisted tunneling and chaos-related localization study quantum transport of a single particle held in an amplitude-modulated and tilted optical lattice. We find some near-resonant regions crossing chaotic and regular regions in the parameter space, and demonstrate that chaos can heighten velocity of delocalization in the chaos-resonance overlapping regions, while chaos may aid localization in the other chaotic regions. The degree of localization enhances with increasing the distance between parameter points and near-resonant regions. The results could be useful for experimentally manipulating chaos-assisted transport of single particles in optical or solid-state lattices.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.4898332