Multi-gap discrete vector solitons

Abstract

We analyze nonlinear collective effects in periodic systems with multi-gap transmission spectra such as light in waveguide arrays or Bose-Einstein condensates in optical lattices. We demonstrate that the inter-band interactions in nonlinear periodic gratings can be efficiently managed by controlling their geometry, and predict novel types of discrete vector solitons supported by nonlinear coupling between different bandgaps and study their stability.

4 pages, 4 figures

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• Josephson Junction Arrays with Bose-Einstein Condensates
• Nonlinear excitations in arrays of Bose-Einstein condensates
• Self-trapping and stable localized modes in nonlinear photonic crystals
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Cited by in corpus (25)

• Bifurcations and stability of gap solitons in periodic potentials
• Photonic analogue of Zitterbewegung in binary waveguide arrays
• Vector solitons in PT-symmetric lattices
• Gap and out-gap breathers in a binary modulated discrete nonlinear Schrödinger model
• Gap Solitons and Bloch Waves in Nonlinear Periodic Systems
• Topological dipole Floquet solitons
• Vector solitons in nonlinear lattices
• Surface multi-gap vector solitons
• Stabilization of vector soliton complexes in nonlocal nonlinear media
• Localization of Two-Component Bose-Einstein Condensates in Optical Lattices
• Self-trapping of polychromatic light in nonlinear photonic lattices
• Stabilization of vector solitons in optical lattices
• Multiband Vector Plasmonic Lattice Solitons
• Control of unstable macroscopic oscillations in the dynamics of three coupled Bose condensates
• Partially incoherent gap solitons in Bose-Einstein condensates
• Incoherent multi-gap optical solitons in nonlinear photonic lattices
• Quasiperiodic localized oscillating solutions in the discrete nonlinear Schrödinger equation with alternating on-site potential
• Persistence of mean-field features in the energy spectrum of small arrays of Bose-Einstein condensates
• Surface solitons in quasiperiodic nonlinear photonic lattices
• Observation of two-dimensional coherent surface vector lattice solitons
• The solitons redistribution in Bose-Einstein condensate in quasiperiodic optical lattice
• Discrete interband mutual focusing in nonlinear photonic lattices
• Two-dimensional vector solitons stabilized by a linear or nonlinear lattice acting in one component
• Self-trapped leaky waves in lattices: discrete and Bragg soleakons
• Soliton shape and mobility control in optical lattices