Destruction of Anderson localization by a weak nonlinearity

被引：337

作者：

Pikovsky, A. S. ^{[1
]}

Shepelyansky, D. L. ^{[1
,2
]}

机构：

[1] Univ Potsdam, Dept Phys, D-14469 Potsdam, Germany

[2] Univ Toulouse 3, CNRS, UMR 5152, Phys Theor Lab, F-31062 Toulouse, France

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 09期

关键词：

D O I：

10.1103/PhysRevLett.100.094101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study numerically the spreading of an initially localized wave packet in a one-dimensional discrete nonlinear Schrodinger lattice with disorder. We demonstrate that above a certain critical strength of nonlinearity the Anderson localization is destroyed and an unlimited subdiffusive spreading of the field along the lattice occurs. The second moment grows with time proportional to t(alpha), with the exponent alpha being in the range 0.3-0.4. For small nonlinearities the distribution remains localized in a way similar to the linear case.

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页数：4

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