Directed quantum chaos

被引：144

作者：

Efetov, KB

机构：

[1] Max-Planck Institut für Physik komplexer Systeme, Stuttgart, 70569

[2] L. D. Landau Institute for Theoretical Physics, Moscow

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 79卷 / 03期

关键词：

D O I：

10.1103/PhysRevLett.79.491

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Quantum disordered problems with a direction (imaginary vector potential) are discussed and mapped onto a supermatrix sigma model. It is argued that the OD version of the sigma model may describe a broad class of phenomena that can be called directed quantum chaos. It is demonstrated by explicit calculations that these problems are equivalent to those of random asymmetric or non-Hermitian matrices. A joint probability of complex eigenvalues is obtained. The fraction of states with real eigenvalues proves to be always finite for time reversal invariant systems.

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页码：491 / 494

页数：4

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