Enhanced soliton transport in quasi-periodic lattices with short-range aperiodicity

Abstract

We study linear transmission and nonlinear soliton transport through quasi-periodic structures, which profiles are described by multiple modulation frequencies. We show that resonant scattering at mixed-frequency resonances limits transmission efficiency of localized wave packets, leading to radiation and possible trapping of solitons. We obtain an explicit analytical expression for optimal quasi-periodic lattice profiles, where additional aperiodic modulations suppress mixed-frequency resonances, resulting in dramatic enhancement of soliton mobility. Our results can be applied to the design of photonic waveguide structures, and arrays of magnetic micro-traps for atomic Bose-Einstein condensates.

4 pages, 4 figures

References in corpus (1)

• Controlled generation and steering of spatial gap solitons

Cited by in corpus (9)

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• Brownian soliton motion
• Soliton percolation in random optical lattices
• The solitons redistribution in Bose-Einstein condensate in quasiperiodic optical lattice
• Asymmetric soliton mobility in competing linear-nonlinear PT-symmetric lattices
• Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices
• Dynamic diffractive resonant radiation in a linearly chirped nonlinear waveguide array
• Formation of nonlinear modes in one-dimensional quasiperiodic lattices with a mobility edge
• Soliton shape and mobility control in optical lattices