PHASE-SPACE LOCALIZATION - TOPOLOGICAL ASPECTS OF QUANTUM CHAOS

被引：132

作者：

LEBOEUF, P

KURCHAN, J

FEINGOLD, M

AROVAS, DP

机构：

[1] WEIZMANN INST SCI,DEPT NUCL PHYS,IL-76100 REHOVOT,ISRAEL

[2] UNIV CALIF BERKELEY LAWRENCE BERKELEY LAB,BERKELEY,CA 94720

[3] UNIV CALIF BERKELEY,DEPT PHYS,BERKELEY,CA 94720

[4] UNIV CALIF SAN DIEGO,DEPT PHYS,LA JOLLA,CA 92093

来源：

PHYSICAL REVIEW LETTERS | 1990年 / 65卷 / 25期

关键词：

D O I：

10.1103/PhysRevLett.65.3076

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. © 1990 The American Physical Society.

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页码：3076 / 3079

页数：4

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