Anderson Localization or Nonlinear Waves: A Matter of Probability

被引：45

作者：

Ivanchenko, M. V. ^{[1
,2
]}

Laptyeva, T. V. ^{[2
]}

Flach, S. ^{[2
]}

机构：

[1] Univ Nizhniy Novgorod, Theory Oscillat Dept, Nizhnii Novgorod, Russia

[2] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

来源：

PHYSICAL REVIEW LETTERS | 2011年 / 107卷 / 24期

关键词：

2 INTERACTING PARTICLES; COHERENT PROPAGATION; KAM TORI; MODEL; DIFFUSION; TRANSPORT; LATTICES; SYSTEMS; ABSENCE;

D O I：

10.1103/PhysRevLett.107.240602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In linear disordered systems Anderson localization makes any wave packet stay localized for all times. Its fate in nonlinear disordered systems (localization versus propagation) is under intense theoretical debate and experimental study. We resolve this dispute showing that, unlike in the common hypotheses, the answer is probabilistic rather than exclusive. At any small but finite nonlinearity (energy) value there is a finite probability for Anderson localization to break up and propagating nonlinear waves to take over. It increases with nonlinearity (energy) and reaches unity at a certain threshold, determined by the initial wave packet size. Moreover, the spreading probability stays finite also in the limit of infinite packet size at fixed total energy. These results generalize to higher dimensions as well.

引用

页数：4

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