Subdiffusion in the Nonlinear Schroedinger Equation with Disorder

2009/09/11 by Alexander Iomin · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.dis-nn

paper · pdf · doi:10.1103/physreve.81.017601

arxiv created 2009/09/11 · arxiv updated 2015/05/14

Abstract

The nonlinear Schroedinger equation in the presence of disorder is considered. The dynamics of an initially localized wave packet is studied. A subdiffusive spreading of the wave packet is explained in the framework of a continuous time random walk. A probabilistic description of subdiffusion is suggested and a transport exponent of subdiffusion is obtained to be 2/5.

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• Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder

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