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".

References in corpus (6)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Destruction of Anderson localization by a weak nonlinearity
• Universal spreading of wavepackets in disordered nonlinear systems
• Absence of Wavepacket Diffusion in Disordered Nonlinear Systems
• Control of wavepacket spreading in nonlinear finite disordered lattices
• Dynamical Barrier for the Formation of Solitary Waves in Discrete Lattices

Cited by in corpus (2)

• Disorder-induced light trapping enhanced by pulse collisions in one-dimensional nonlinear photonic crystals
• Observation of dipolar transport in one-dimensional photonic lattices