Phase-space localization: Topological aspects of quantum chaos

P. Leboeuf, J. Kurchan, M. Feingold, D. P. Arovas

Research output: Contribution to journalArticlepeer-review

128 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)3076-3079
Number of pages4
JournalPhysical Review Letters
Volume65
Issue number25
DOIs
StatePublished - 1 Jan 1990
Externally publishedYes

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