Expansion of a wave-packet in lattices with disorder and nonlinearity

Abstract

We show, theoretically and experimentally, the counterintuitive result that an increase of disorder can result in an enhanced spreading of an initially localized excitation. Moreover, we find that adding a focusing nonlinearity facilitates the expansion of the wave-packet even further by increasing its effective size. We find a clear transition between between the regions of enhanced spreading (weak disorder) and localization (strong localization) described by a "diffusion peak".

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Cited by in corpus (7)

• Superdiffusive Transport and Energy Localization in Disordered Granular Crystals
• Quasiperiodic granular chains and Hofstadter butterflies
• Probing the effects of interaction in Anderson localization using linear photonic lattices
• Self-trapping threshold in disordered nonlinear photonic lattices
• Small-world networks of optical fiber lattices
• Disorder-induced light trapping enhanced by pulse collisions in one-dimensional nonlinear photonic crystals
• Observation of dipolar transport in one-dimensional photonic lattices