Asymptotic localization of stationary states in the nonlinear Schroedinger equation

Details Asymptotic localization of stationary states in the nonlinear Schroedinger equation Asymptotic localization of stationary states in the nonlinear Schroedinger equation

2008-07-31

arxiv.org/abs/0807.5005v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.78.066605

The mapping of the Nonlinear Schroedinger Equation with a random potential on the Fokker-Planck equation is used to calculate the localization length of its stationary states. The asymptotic growth rates of the moments of the wave function and its derivative for the linear Schroedinger Equation in a random potential are computed analytically and resummation is used to obtain the corresponding growth rate for the nonlinear Schroedinger equation and the localization length of the stationary states.

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