NEW CLASS OF LEVEL STATISTICS IN QUANTUM-SYSTEMS WITH UNBOUNDED DIFFUSION

被引：176

作者：

GEISEL, T ^{[1
]}

KETZMERICK, R ^{[1
]}

PETSCHEL, G ^{[1
]}

机构：

[1] UNIV FRANKFURT,SONDERFORSCH BEREICH NICHTLINEARE DYNAM,W-6000 FRANKFURT 11,GERMANY

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 66卷 / 13期

关键词：

D O I：

10.1103/PhysRevLett.66.1651

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We point out a new class of level statistics where the level-spacing distribution follows an inverse power law p(s) approximately s -beta, with beta = 3/2. It is characteristic of level clustering rather than level repulsion and appears to be universal for systems exhibiting unbounded quantum diffusion on 1D lattices. A realization of this class is met in a model of Bloch electrons in a magnetic field, where we find a purely diffusive spread of wave packets without the quantum limitations known from chaotic systems like the kicked rotator.

引用

页码：1651 / 1654

页数：4

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