Asymptotic localization of stationary states in the nonlinear Schrödinger equation - Archive ouverte HAL Access content directly
Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2008

Asymptotic localization of stationary states in the nonlinear Schrödinger equation

(1) , (1) , (2)
1
2

Abstract

The mapping of the Nonlinear Schrödinger 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 Schrödinger Equation in a random potential are computed analytically and resummation is used to obtain the corresponding growth rate for the nonlinear Schrödinger equation and the localization length of the stationary states.
Fichier principal
Vignette du fichier
shm1.pdf (188.64 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

cea-02924947 , version 1 (28-08-2020)

Identifiers

Cite

Shmuel Fishman, Alexander Iomin, Kirone Mallick. Asymptotic localization of stationary states in the nonlinear Schrödinger equation. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2008, 78 (6), pp.066605. ⟨10.1103/PhysRevE.78.066605⟩. ⟨cea-02924947⟩
31 View
37 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More