Chaotic destruction of Anderson localization in a nonlinear latticeS. Tietsche and A. Pikovsky
Department of Physics and Astronomy, Potsdam University - 14476 Potsdam-Golm, Germany, EU
received 16 June 2008; accepted in final form 21 August 2008; published October 2008
published online 19 September 2008
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.
05.45.-a - Nonlinear dynamics and chaos.
73.20.Fz - Weak or Anderson localization.
63.50.-x - Vibrational states in disordered systems.
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