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arXiv · 0808.3468

Stable three-dimensional spatially modulated vortex solitons in Bose-Einstein condensates

V. M. Lashkin
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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.

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V. M. Lashkin. 2008-08-26. Stable three-dimensional spatially modulated vortex solitons in Bose-Einstein condensates. https://doi.org/10.1103/physreva.78.033603

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