Symbiotic two-component gap solitons
arXiv:1210.3514 · doi:10.1364/OE.20.024559
Abstract
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).
arXiv comment17 pages, 15 figures; Optics Express, Vol. 20, No. 22, 2012
References in corpus (22)
- Solitons in nonlinear lattices
- Theory of Nonlinear Matter Waves in Optical Lattices
- Fundamental and vortex solitons in a two-dimensional optical lattice
- Multidimensional solitons in periodic potentials
- Bose-Einstein Condensates in Optical Lattices: Band-Gap Structure and Solitons
- Multidimensional solitons in a low-dimensional periodic potential
- Bifurcations and stability of gap solitons in periodic potentials
- Regular spatial structures in arrays of Bose-Einstein condensates induced by modulational instability
- Symbiotic Solitons in Heteronuclear Multicomponent Bose-Einstein condensates
- Bright solitons in coupled defocusing NLS equation supported by coupling: Application to Bose-Einstein condensation
- Solitons in quasi one-dimensional Bose-Einstein condensates with competing dipolar and local interactions
- Matter-wave solitons in radially periodic potentials
- Dynamics of positive- and negative-mass solitons in optical lattices and inverted traps
- Fermionic bright soliton in a boson-fermion mixture
- Stability of gap solitons in a Bose-Einstein condensate
- Two-component gap solitons in two- and one-dimensional Bose-Einstein condensates
- Gap solitons in a model of a superfluid fermion gas in optical lattices
- Symbiotic gap and semi-gap solitons in Bose-Einstein condensates
- Two-component gap solitons with linear interconversion
- Spatial optical solitons supported by mutual focusing
- Competition between attractive and repulsive interactions in two-component Bose-Einstein condensates trapped in an optical lattice
- Two-dimensional vector solitons stabilized by a linear or nonlinear lattice acting in one component
Cited by in corpus (5)
- Two-dimensional symbiotic solitons and vortices in binary condensates with attractive cross-species interaction
- Suppression of the quantum collapse in binary bosonic gases
- Gap solitons in Rabi lattices
- Spatial control of the competition between self-focusing and self-defocusing nonlinearities in one- and two-dimensional systems
- Quasi-one- and quasi-two-dimensional symbiotic solitons bound by dipolar interaction