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.

arXiv comment4 pages, 4 figures

References in corpus (10)

• Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
• Bright gap solitons of atoms with repulsive interaction
• Nonlinear Self-Trapping of Matter Waves in Periodic Potentials
• Experimental properties of Bose-Einstein condensates in 1D optical lattices: Bloch oscillations, Landau-Zener tunneling and mean-field effects
• Bose-Einstein Condensates in Optical Quasicrystal Lattices
• Controlled generation and steering of spatial gap solitons
• On Discretizations of the Vector Nonlinear Schrodinger Equation
• Diffraction of a Bose-Einstein condensate from a Magnetic Lattice on a Micro Chip
• Transition radiation by matter-wave solitons in optical lattices
• Anderson localization of solitons in optical lattices with random frequency modulation

Cited by in corpus (13)

• Direct observation of a localization transition in quasi-periodic photonic lattices
• Bloch oscillations in tight-binding lattices with defects
• Composite localized modes in discretized spin-orbit-coupled Bose-Einstein condensates
• Brownian soliton motion
• Controlling transition probability from matter-wave soliton to chaos
• Soliton percolation in random optical lattices
• The solitons redistribution in Bose-Einstein condensate in quasiperiodic optical lattice
• Disorder-induced soliton transmission in nonlinear photonic lattices
• 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