Long-time Anderson Localization for the Nonlinear Schrodinger Equation Revisited

Abstract

In this paper, we confirm the conjecture of Wang and Zhang (J. Stat. Phys. 134 (5-6): 953--968, 2009) in a long time scale, i.e., the displacement of the wavefront for $1D$ nonlinear random Schroedinger equation is of logarithmic order in time $|t|$.

arXiv commentA revised version, to appear in J. Stat. Phys

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• Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory
• Slow dissipation and spreading in disordered classical systems: A direct comparison between numerics and mathematical bounds
• An eigensystem approach to Anderson localization for multi-particle systems