Soliton dynamics at an interface between uniform medium and nonlinear optical lattice
arXiv:0905.0995 · doi:10.1103/PhysRevE.79.056220
Abstract
We study trapping and propagation of a matter-wave soliton through the interface between uniform medium and a nonlinear optical lattice (NOL). Different regimes for transmission of a broad and a narrow soliton are investigated. Reflections and transmissions of solitons are predicted as function of the lattice phase. The existence of a threshold in the amplitude of the nonlinear optical lattice, separating the transmission and reflection regimes, is verified. The localized nonlinear surface state, corresponding to the soliton trapped by the interface, is found. Variational approach predictions are confirmed by numerical simulations for the original Gross-Pitaevskii equation with nonlinear periodic potentials.
References in corpus (10)
- Tuning the scattering length with an optically induced Feshbach resonance
- Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
- Gap solitons in Bose-Einstein condensates in linear and nonlinear optical lattices
- Long-living Bloch oscillations of matter waves in optical lattices
- Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
- Localized modes in arrays of boson-fermion mixtures
- Power-dependent shaping of vortex solitons in optical lattices with spatially modulated nonlinear refractive index
- Dissipative Dynamics of Matter Wave Soliton in Nonlinear Optical Lattice
- Surface solitons at interfaces of arrays with spatially-modulated nonlinearity
- Bragg-type soliton mirror
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- Localization of collisionally inhomogeneous condensates in a bichromatic optical lattice
- Solitons and vortices in nonlinear potential wells
- Bright solitons in quasi-one dimensional dipolar condensates with spatially modulated interactions
- Stable dipole solitons and soliton complexes in the nonlinear Schrodinger equation with periodically modulated nonlinearity