661 research outputs found
Dark-Bright Solitons in Inhomogeneous Bose-Einstein Condensates
We investigate dark-bright vector solitary wave solutions to the coupled
non-linear Schr\"odinger equations which describe an inhomogeneous two-species
Bose-Einstein condensate. While these structures are well known in non-linear
fiber optics, we show that spatial inhomogeneity strongly affects their motion,
stability, and interaction, and that current technology suffices for their
creation and control in ultracold trapped gases. The effects of controllably
different interparticle scattering lengths, and stability against
three-dimensional deformations, are also examined.Comment: 5 pages, 5 figure
Matter-wave solitons of collisionally inhomogeneous condensates
We investigate the dynamics of matter-wave solitons in the presence of a
spatially varying atomic scattering length and nonlinearity. The dynamics of
bright and dark solitary waves is studied using the corresponding
Gross-Pitaevskii equation. The numerical results are shown to be in very good
agreement with the predictions of the effective equations of motion derived by
adiabatic perturbation theory. The spatially dependent nonlinearity leads to a
gravitational potential that allows to influence the motion of both fundamental
as well as higher order solitons.Comment: 19 pages, 4 figure
Enhanced soliton interactions by inhomogeneous nonlocality and nonlinearity
We address the interactions between optical solitons in the system with
longitudinally varying nonlocality degree and nonlinearity strength. We
consider a physical model describing light propagation in nematic liquid
crystals featuring a strongly nonlocal nonlinear response. We reveal that the
variation of the nonlocality and nonlinearity along the propagation direction
can substantially enhance or weaken the interaction between out-of-phase
solitons. This phenomenon manifests itself as a slowdown or acceleration of the
soliton collision dynamics in one-dimensional geometries or of the soliton
spiraling rate in bulk media. Therefore, one finds that by engineering the
nonlocality and nonlinearity variation rate one can control the output soliton
location.Comment: 22 pages, 5 figures, to appear in Physical Review
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