Asymptotic localization of stationary states in the nonlinear Schroedinger equation
arXiv:0807.5005 · doi:10.1103/PhysRevE.78.066605
Abstract
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.
References in corpus (5)
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- Superfluidity versus Anderson localization in a dilute Bose gas
- Expansion of a Bose-Einstein Condensate in the Presence of Disorder
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Cited by in corpus (5)
- The crossover from strong to weak chaos for nonlinear waves in disordered systems
- Anderson localization of a weakly interacting one dimensional Bose gas
- One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems
- From power law to Anderson localization in nonlinear Schrödinger equation with nonlinear randomness
- Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder