Abstract
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 . For intermediate times , the exponent satisfies a scaling law , where is the nonlinearity strength and is the localization length of the corresponding random system with . For and we find a universal decay with which is a signature of the nonlinearity-induced delocalization. Experimental evidence should be observable in coupled nonlinear optical waveguides.
- Received 17 March 2004
DOI:https://doi.org/10.1103/PhysRevLett.93.190604
©2004 American Physical Society