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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 22 — Oct. 22, 2012
  • pp: 24559–24574

Symbiotic two-component gap solitons

Athikom Roeksabutr, Thawatchai Mayteevarunyoo, and Boris A. Malomed  »View Author Affiliations

Optics Express, Vol. 20, Issue 22, pp. 24559-24574 (2012)

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We consider a two-component one-dimensional model of gap solitons (GSs), which is based on two nonlinear Schrödinger equations, coupled by repulsive XPM (cross-phase-modulation) terms, in the absence of the SPM (self-phase-modulation) nonlinearity. The equations include a periodic potential acting on both components, thus giving rise to GSs of the “symbiotic” type, which exist solely due to the repulsive interaction between the two components. The model may be implemented for “holographic solitons” in optics, and in binary bosonic or fermionic gases trapped in the optical lattice. Fundamental symbiotic GSs are constructed, and their stability is investigated, in the first two finite bandgaps of the underlying spectrum. Symmetric solitons are destabilized, including their entire family in the second bandgap, by symmetry-breaking perturbations above a critical value of the total power. Asymmetric solitons of intra-gap and inter-gap types are studied too, with the propagation constants of the two components falling into the same or different bandgaps, respectively. The increase of the asymmetry between the components leads to shrinkage of the stability areas of the GSs. Inter-gap GSs are stable only in a strongly asymmetric form, in which the first-bandgap component is a dominating one. Intra-gap solitons are unstable in the second bandgap. Unstable two-component GSs are transformed into persistent breathers. In addition to systematic numerical considerations, analytical results are obtained by means of an extended (“tailed”) Thomas-Fermi approximation (TFA).

© 2012 OSA

OCIS Codes
(020.1475) Atomic and molecular physics : Bose-Einstein condensates
(160.5293) Materials : Photonic bandgap materials
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

Original Manuscript: August 31, 2012
Manuscript Accepted: October 2, 2012
Published: October 12, 2012

Athikom Roeksabutr, Thawatchai Mayteevarunyoo, and Boris A. Malomed, "Symbiotic two-component gap solitons," Opt. Express 20, 24559-24574 (2012)

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