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
References in corpus (5)
- Stability of two-dimensional spatial solitons in nonlocal nonlinear media
- Vortex stability in nearly two-dimensional Bose-Einstein condensates with attraction
- A mode elimination technique to improve convergence of iteration methods for finding solitary waves
- Two-dimensional nonlocal multisolitons
- Two-dimensional multisolitons and azimuthons in Bose-Einstein condensates with attraction