Anderson localization as a parametric instability of the linear kicked oscillator

被引：25

作者：

Tessieri, L ^{[1
]}

Izrailev, FM ^{[1
]}

机构：

[1] Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico

来源：

PHYSICAL REVIEW E | 2000年 / 62卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.62.3090

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We rigorously analyze the correspondence between the one-dimensional standard Anderson model and a related classical system, the ''kicked oscillator'' with noisy frequency. We show that the Anderson localization corresponds to a parametric instability of the oscillator, the localization length being related to the rate of exponential growth of the energy of the oscillator. Analytical expression for a weak disorder is obtained, which is valid both inside the energy band and at the band edge.

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页码：3090 / 3095

页数：6

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