Phase-space localization: Topological aspects of quantum chaos

Journal Article · Mon Dec 17 00:00:00 EST 1990 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.65.3076· OSTI ID:5829836

Leboeuf, P ^[1]; Kurchan, J ^[2]; Feingold, M ^[3]; Arovas, D P ^[4]

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1. Division de Physique Theorique, Institut de Physique Nucleire, 91406 Orsay CEDEX (France)
2. Nuclear Physics Department, Weizmann Institute of Science, Rehovot 76100 (Israel)
3. Lawrence Berkeley Laboratory, University of California, Berkeley, CA (USA) Department of Physics, University of California, Berkeley, CA (USA)
4. Department of Physics, B-019, University of California at San Diego, La Jolla, CA (USA)

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.

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 5829836
• Journal Information: Physical Review Letters; (USA), Vol. 65:26; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
PHASE SPACE
TOPOLOGY
QUANTUM MECHANICS
HALL EFFECT
QUANTUM OPERATORS
WAVE FUNCTIONS
FUNCTIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
SPACE
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics