2004/03/31 by Tsampikos Kottos, Matthias Weiss, Matthias Weiß · 1 citation
Physics and Astronomy · #Nonlinear Photonic Systems #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies #cond-mat.dis-nn #nlin.CD
paper · pdf · doi:10.1103/physrevlett.93.190604
revised version, PRL in press, 4 pages, 4 figs (fig 3 with reduced quality)
arxiv created 2004/10/18 · openalex publication_date 2004/11/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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)\ensuremath∼1/t^\ensuremathα. For intermediate times t<t*, the exponent \ensuremathα satisfies a scaling law \ensuremathα=f(\ensuremathΛ=\ensuremathχ/l_\ensuremath∞), where \ensuremathχ is the nonlinearity strength and l_\ensuremath∞ is the localization length of the corresponding random system with \ensuremathχ=0. For t\ensuremath≫t* and \ensuremathχ>\ensuremathχcr we find a universal decay with \ensuremathα=2/3 which is a signature of the nonlinearity-induced delocalization. Experimental evidence should be observable in coupled nonlinear optical waveguides.