Anderson localization and nonlinearity in one-dimensional disordered photonic lattices

Yoav Lahini, Assaf Avidan, Francesca Pozzi, Marc Sorel, Roberto Morandotti, Demetrios N. Christodoulides, Yaron Silberberg

Research output: Contribution to journalArticlepeer-review

Abstract

We experimentally investigate the evolution of linear and nonlinear waves in a realization of the Anderson model using disordered one-dimensional waveguide lattices. Two types of localized eigenmodes, flat-phased and staggered, are directly measured. Nonlinear perturbations enhance localization in one type and induce delocalization in the other. In a complementary approach, we study the evolution on short time scales of δ-like wave packets in the presence of disorder. A transition from ballistic wave packet expansion to exponential (Anderson) localization is observed. We also find an intermediate regime in which the ballistic and localized components coexist while diffusive dynamics is absent. Evidence is found for a faster transition into localization under nonlinear conditions.

Original languageEnglish
Article number013906
JournalPhysical Review Letters
Volume100
Issue number1
DOIs
StatePublished - 10 Jan 2008
Externally publishedYes

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