Two-dimensional vector solitons stabilized by a linear or nonlinear lattice acting in one component
arXiv:1011.6296 · doi:10.1209/0295-5075/92/64001
Abstract
The subject of the work is the stabilization of two-dimensional (2D) two-component (vector) solitons, in media with the attractive cubic nonlinearity, against the collapse by a linear lattice (LL, which is induced by a periodic modulation of the refractive index in optics, or created as an optical lattice in BEC), or by a nonlinear lattice (NL, induced by a periodic modulation of the nonlinearity coefficient). We demonstrate that, due to the XPM (cross-phase-modulation) coupling between the components, the LL or NL acting on a single component is sufficient for the stabilization of vector solitons, that include a component for which the self-focusing medium is uniform. In the case of the LL, the vector solitons are stable almost in their entire existence domain, while the NL can only stabilize the solitons in which the component affected by the lattice carries the norm which is comparable to, or larger than the norm of the component in the uniform medium.
13 pages, 4 figures, to appear in Europhysics Letters
References in corpus (14)
- Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
- Solitons in combined linear and nonlinear lattice potentials
- Stable two-dimensional solitons in nonlinear lattices
- Gap solitons in Bose-Einstein condensates in linear and nonlinear optical lattices
- Multi-gap discrete vector solitons
- Reduced-symmetry two-dimensional solitons in photonic lattices
- Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity
- Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
- Localized modes in arrays of boson-fermion mixtures
- Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials
- Power-dependent shaping of vortex solitons in optical lattices with spatially modulated nonlinear refractive index
- Symbiotic gap and semi-gap solitons in Bose-Einstein condensates
- Stabilization of two-dimensional solitons in cubic-saturable nonlinear lattices
- Mixed symmetry localized modes and breathers in binary mixtures of Bose-Einstein condensates in optical lattices