Issue
EPL
Volume 84, Number 1, October 2008
Article Number 10006
Number of page(s) 5
Section General
DOI http://dx.doi.org/10.1209/0295-5075/84/10006
Published online 19 September 2008
EPL, 84 (2008) 10006
DOI: 10.1209/0295-5075/84/10006

Chaotic destruction of Anderson localization in a nonlinear lattice

S. Tietsche and A. Pikovsky

Department of Physics and Astronomy, Potsdam University - 14476 Potsdam-Golm, Germany, EU

pikovsky@uni-potsdam.de

received 16 June 2008; accepted in final form 21 August 2008; published October 2008
published online 19 September 2008

Abstract
We consider a scattering problem for a nonlinear disordered lattice layer governed by the discrete nonlinear Schrödinger 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.

PACS
05.45.-a - Nonlinear dynamics and chaos.
73.20.Fz - Weak or Anderson localization.
63.50.-x - Vibrational states in disordered systems.

© EPLA 2008