Chaotic destruction of Anderson localization in a nonlinear latticeTietsche, S. and Pikovsky, A. (2008) Chaotic destruction of Anderson localization in a nonlinear lattice. Europhysics Letters, 84 (1). 10006. ISSN 0295-5075 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1209/0295-5075/84/10006 Abstract/SummaryWe 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
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