Collision Dynamics and Rung Formation of Non-Abelian Vortices

TL;DR

This paper studies the unique collision behavior of non-Abelian vortices, revealing they form stable rungs instead of reconnecting or passing through, confirmed through Bose-Einstein condensate models.

Contribution

It demonstrates the topologically stable rung formation during non-Abelian vortex collisions, a novel insight contrasting with Abelian vortex interactions.

Findings

Non-Abelian vortices do not reconnect or pass through each other.

Collision results in stable rung formation.

Model verification using spin-2 spinor Bose-Einstein condensate.

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.