Chaotic destruction of Anderson localization in a nonlinear lattice

Tietsche, S. and Pikovsky, A. (2008) Chaotic destruction of Anderson localization in a nonlinear lattice. Europhysics Letters, 84 (1). 10006. ISSN 0295-5075 doi: 10.1209/0295-5075/84/10006

Abstract/Summary

We consider a scattering problem for a nonlinear disordered lattice layer governed by the discrete nonlinear Schrodinger equation. The linear state with exponentially small transparency, due to the Anderson localization, is followed for an increasing nonlinearity, until it is destroyed via a bifurcation. The critical nonlinearity is shown to decay with the lattice length as a power law. We demonstrate that in the chaotic regimes beyond the bifurcation the field is delocalized and this leads to a drastic increase of transparency. Copyright (C) EPLA, 2008