Stable three-dimensional spatially modulated vortex solitons in Bose-Einstein condensates
Pattern Formation and Solitons
2009-11-13 v1
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.
Cite
@article{arxiv.0808.3468,
title = {Stable three-dimensional spatially modulated vortex solitons in Bose-Einstein condensates},
author = {V. M. Lashkin},
journal= {arXiv preprint arXiv:0808.3468},
year = {2009}
}
Comments
accepted for publication in Phys. Rev. A