Current relaxation in nonlinear random media

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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revised version, PRL in press, 4 pages, 4 figs (fig 3 with reduced quality)

Scientific paper

10.1103/PhysRevLett.93.190604

We study the current relaxation of a wave packet in a nonlinear random sample coupled to the continuum and show that the survival probability decays as $P(t) \sim 1/t^{\alpha}$. For intermediate times $t\chi_{\rm cr}$ we find a universal decay with $\alpha=2/3$ which is a signature of the {\it nonlinearity-induced delocalization}. Experimental evidence should be observable in coupled nonlinear optical waveguides.

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