Brownian soliton motion

Abstract

We reveal fundamental analogies between soliton dynamics in light-induced random photonic lattices and Brownian motion of particles. In particular, we discover that the average squared soliton displacement increases linearly with distance after an initial ballistic regime of propagation. We also find that in shallow lattices the average soliton displacement grows linearly with increasing lattice depth.

14 pages, 4 figures, to appear in Physical Review A

References in corpus (9)

• Spatial Solitons in Optically-Induced Gratings
• Discrete solitons and soliton-induced dislocations in partially-coherent photonic lattices
• Rotary solitons in Bessel photonic lattices
• Stable ring vortex solitons in Bessel optical lattices
• Impurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillators
• Soliton topology versus discrete symmetry in optical lattices
• Enhanced soliton transport in quasi-periodic lattices with short-range aperiodicity
• Instabilities and Bifurcations of Nonlinear Impurity Modes
• Anderson localization of solitons in optical lattices with random frequency modulation

Cited by in corpus (11)

• Shock waves in disordered media
• The frustrated Brownian motion of nonlocal solitary waves
• Solitonization of the Anderson Localization
• Spin-orbit coupled soliton in a random potential
• Anderson Localization in Nonlocal Nonlinear Media
• Optical Spatial Shock Waves in Nonlocal Nonlinear Media
• Stability of solitary waves in random nonlocal nonlinear media
• Disorder-induced soliton transmission in nonlinear photonic lattices
• Purely nonlinear disorder-induced localizations and their parametric amplification
• Soliton Propagation through a Disordered System: Statistics of the Transmission Delay
• Vectorial dissipative solitons in vertical-cavity surface-emitting Lasers with delays