Stable three-dimensional spatially modulated vortex solitons in Bose-Einstein condensates
arXiv:0808.3468 · doi:10.1103/PhysRevA.78.033603
Abstract
We present exact numerical solutions in the form of spatially localized three-dimensional (3D) nonrotating and rotating (azimuthon) multipole solitons in the Bose-Einstein condensate (BEC) confined by a parabolic trap. We numerically show that the 3D azimuthon solutions exist as a continuous family parametrized by the angular velocity (or, equivalently, the modulational depth). By a linear stability analysis we show that 3D azimuthons with a sufficiently large phase modulational depth can be stable. The results are confirmed by direct numerical simulations of the Gross-Pitaevskii equation.
accepted for publication in Phys. Rev. A
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Cited by in corpus (5)
- Two-dimensional solitons in dipolar Bose-Einstein condensates with spin-orbit coupling
- Rotating three-dimensional solitons in Bose Einstein condensates with gravity-like attractive nonlocal interaction
- Tracking azimuthons in nonlocal nonlinear media
- Robust three-dimensional high-order solitons and breathers in driven dissipative systems: a Kerr cavity realization
- Dynamics of dipoles and vortices in nonlinearly-coupled three-dimensional harmonic oscillators