Phase-space localization : topological aspects of quantum chaos

Phase-space localization : topological aspects of quantum chaos

We study quantized classically chaotic maps on a toroidal two-diensional phase space. A discrete, topological criterion for phase-space localization is presented. To each eigenfunction an integer is associated, analogous to a quantized Hall conductivity, which when nonzero reflects phase-space deloc...

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Veröffentlicht in:Physical review letters 1990-12, Vol.65 (25), p.3076-3079
Hauptverfasser: LEBOEUF, P, KURCHAN, J, FEINGOLD, M, AROVAS, D. P
Format: Artikel
Sprache:eng
Schlagworte:
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
Chaotic Dynamics
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Exact sciences and technology
FUNCTIONS
HALL EFFECT
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
Nonlinear dynamics and nonlinear dynamical systems
Nonlinear Sciences
PHASE SPACE
Physics
QUANTUM MECHANICS
QUANTUM OPERATORS
SPACE
Statistical physics, thermodynamics, and nonlinear dynamical systems
TOPOLOGY
WAVE FUNCTIONS
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Zusammenfassung:We study quantized classically chaotic maps on a toroidal two-diensional phase space. A discrete, topological criterion for phase-space localization is presented. To each eigenfunction an integer is associated, analogous to a quantized Hall conductivity, which when nonzero reflects phase-space delocalization. A model system is studied, and a correspondence between delocalization and chaotic classical dynamics is discussed.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.65.3076