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

Cited by in corpus (6)

• Bifurcations and stability of gap solitons in periodic potentials
• Gap and out-gap breathers in a binary modulated discrete nonlinear Schrödinger model
• 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
• Discrete interband mutual focusing in nonlinear photonic lattices