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Related Experiment Videos

Domain walls in two-component dynamical lattices.

P G Kevrekidis1, Boris A Malomed, D J Frantzeskakis

  • 1Department of Mathematics and Statistics, University of Massachusetts, Amherst 01003-4515, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 12, 2003
PubMed
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We introduce domain-wall (DW) states in nonlinear optics and Bose-Einstein condensates. The study identifies stable and unstable DW configurations, with some becoming stable at higher cross-phase modulation (XPM) coupling.

Area of Science:

  • Nonlinear Optics
  • Quantum Physics
  • Condensed Matter Physics

Background:

  • The bimodal discrete nonlinear Schrödinger equation models systems with coupled modes, such as optical waveguide arrays or binary Bose-Einstein condensates.
  • Domain-wall (DW) states represent interfaces between different configurations in such systems.

Purpose of the Study:

  • To introduce and characterize domain-wall (DW) states in the bimodal discrete nonlinear Schrödinger equation.
  • To investigate the stability of various DW solutions under different cross-phase modulation (XPM) coupling strengths.
  • To explore the potential for experimental observation of these DW states.

Main Methods:

  • Numerical continuation from anticontinuum (AC) limit initial patterns.
  • Stability analysis of identified DW solutions.

Related Experiment Videos

  • Direct numerical simulations to verify stability and observe dynamics of unstable DWs.

    • Main Results:

    • Several types of DW solutions were found, with distinct stability properties.
    • In strong XPM, fundamental DW states with single modes at chain ends are stable.
    • Some DW solutions exhibit unusual stability transitions, becoming stable at larger coupling constants (C).
    • Weak XPM leads to an unstable DW solution that may evolve into a moving DW.

    Conclusions:

    • DW states in the bimodal discrete nonlinear Schrödinger equation exhibit diverse stability behaviors.
    • The study provides insights into the dynamics and stability of nonlinear lattice systems.
    • DW states are potentially observable in experiments within parameter ranges similar to those for discrete solitons.