Effective noise theory for the Nonlinear Schrödinger Equation with disorder

Details Effective noise theory for the Nonlinear Schrödinger Equation with disorder Effective noise theory for the Nonlinear Schrödinger Equation with disorder

2011-08-30

arxiv.org/abs/1108.5867v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

17 pages, 10 figures

Scientific paper

For the Nonlinear Shr\"odinger 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, 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.

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