Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-07-31
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.
Fishman Shmuel
Iomin Alexander
Mallick Kirone
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