Collision Dynamics and Rung Formation of Non-Abelian Vortices

Abstract

We investigate the collision dynamics of two non-Abelian vortices and find that, unlike Abelian vortices, they neither reconnect themselves nor pass through each other, but create a rung between them in a topologically stable manner. Our predictions are verified using the model of the cyclic phase of a spin-2 spinor Bose-Einstein condensate.

4 pages, 2 figures

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• Solving the spin-2 Gross-Pitaevskii equation using exact nonlinear dynamics and symplectic composition
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