Effective noise theory for the nonlinear Schrodinger equation with disorder

被引：23

作者：

Michaely, Erez ^{[1
]}

Fishman, Shmuel ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel

来源：

PHYSICAL REVIEW E | 2012年 / 85卷 / 04期

基金：

以色列科学基金会;

关键词：

BOSE-EINSTEIN CONDENSATION; ANDERSON LOCALIZATION; DISCRETE BREATHERS; MATTER-WAVES; TRANSPORT; DELOCALIZATION; SYSTEMS; VORTEX;

D O I：

10.1103/PhysRevE.85.046218

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：

For the nonlinear Shrodinger equation with disorder it was found numerically that in some regime of the parameters Anderson localization is destroyed and subdiffusion takes place for a long time interval. It was argued that the nonlinear term acts as random noise. In the present work, the properties of this effective noise are studied numerically. Some assumptions made in earlier work were verified, and fine details were obtained. The dependence of various quantities on the localization length of the linear problem were computed. A scenario for the possible breakdown of the theory for a very long time is outlined.

引用

页数：8

共 48 条

[41] Transport and Anderson localization in disordered two-dimensional photonic lattices
Schwartz, Tal
Bartal, Guy
Fishman, Shmuel
Segev, Mordechai
[J]. NATURE, 2007, 446 (7131) : 52 - 55
[42] DELOCALIZATION OF QUANTUM CHAOS BY WEAK NONLINEARITY
SHEPELYANSKY, DL
[J]. PHYSICAL REVIEW LETTERS, 1993, 70 (12) : 1787 - 1790
[43] Delocalization of wave packets in disordered nonlinear chains
Skokos, Ch.
Krimer, D. O.
Komineas, S.
Flach, S.
[J]. PHYSICAL REVIEW E, 2009, 79 (05):
[44] Sulem C, 1999, The Nonlinear Schrodinger Equation: Self-Focusing and Wave Collapse
[45] ANALYTICAL AND NUMERICAL ASPECTS OF CERTAIN NONLINEAR EVOLUTION-EQUATIONS .2. NUMERICAL, NONLINEAR SCHRODINGER-EQUATION
TAHA, TR
ABLOWITZ, MJ
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1984, 55 (02) : 203 - 230
[46] Vazquez L., 1995, FLUCTUATION PHENOMEN
[47] Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrodinger Equations
Wang, W.-M.
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2008, 33 (12) : 2164 - 2179
[48] Long Time Anderson Localization for the Nonlinear Random Schrodinger Equation
Wang, W. -M.
Zhang, Zhifei
[J]. JOURNAL OF STATISTICAL PHYSICS, 2009, 134 (5-6) : 953 - 968

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