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Related Concept Videos

Gap Junctions01:27

Gap Junctions

The cytoplasm of adjacent animal cells can exchange small molecules, ions, and secondary messengers via the communication channels which form the gap junctions. These junctions comprise a few hundred to thousands of molecular channels, each made of two halves, called the connexon hemichannel. A connexon is a hexamer of six transmembrane connexin proteins, which assemble radially, thus forming a pore or channel in the center. One connexon hemichannel docks with a corresponding connexon on the...
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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
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Symbiotic two-component gap solitons.

Athikom Roeksabutr1, Thawatchai Mayteevarunyoo, Boris A Malomed

  • 1Department of Telecommunication Engineering, Mahanakorn University of Technology, Bangkok 10530, Thailand.

Optics Express
|November 29, 2012
PubMed
Summary
This summary is machine-generated.

This study explores symbiotic gap solitons in a two-component model, revealing that asymmetry impacts stability. These solitons, crucial for optics and atomic gases, transform into persistent breathers when unstable.

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Area of Science:

  • Nonlinear Optics
  • Quantum Gases
  • Soliton Physics

Background:

  • Considers a one-dimensional, two-component model based on nonlinear Schrödinger equations.
  • Focuses on repulsive cross-phase-modulation (XPM) terms, excluding self-phase-modulation (SPM) nonlinearity.
  • Incorporates a periodic potential, leading to 'symbiotic' gap solitons (GSs) driven by inter-component repulsion.

Purpose of the Study:

  • To construct and analyze fundamental symbiotic gap solitons in a two-component system.
  • To investigate the stability of these solitons within the first two finite bandgaps.
  • To explore the influence of symmetry-breaking perturbations and component asymmetry on soliton stability.

Main Methods:

  • Numerical construction and stability analysis of symbiotic gap solitons.
  • Investigation of symmetric and asymmetric soliton types (intra-gap and inter-gap).
  • Analytical approach using an extended Thomas-Fermi approximation (TFA).

Main Results:

  • Symmetric solitons destabilize under perturbations, particularly in the second bandgap.
  • Increased asymmetry between components shrinks stability regions for symbiotic gap solitons.
  • Inter-gap solitons require strong asymmetry for stability; intra-gap solitons are unstable in the second bandgap.
  • Unstable solitons transition into persistent breathers.

Conclusions:

  • Symbiotic gap solitons exhibit complex stability dynamics influenced by component interactions and asymmetry.
  • The model provides insights applicable to holographic solitons in optics and binary atomic gases in optical lattices.
  • Stability is highly dependent on the bandgap location and the degree of asymmetry between the soliton components.