# Collision dynamics of two-dimensional non-Abelian vortices

## TL;DR

This paper computationally investigates the unique collision behaviors of non-Abelian vortices in a 2D spin-2 Bose-Einstein condensate, revealing rungihilation and subsequent defect decay with magnetization reversal.

## Contribution

It introduces the first detailed simulation of non-Abelian vortex collision dynamics, highlighting rungihilation as a novel interaction distinct from Abelian vortex behavior.

## Key findings

- Non-Abelian vortices undergo rungihilation during collisions.
- Post-collision, vortices decay into different non-Abelian types.
- Magnetization reversal occurs during vortex decay.

## Abstract

We study computationally the collision dynamics of vortices in a two-dimensional spin-2 Bose-Einstein condensate. In contrast to Abelian vortex pairs, which annihilate or pass through each other, we observe non-Abelian vortex pairs to undergo rungihilation - an event that converts the colliding vortices into a rung vortex. The resulting rung defect subsequently decays to another pair of non-Abelian vortices of different type, accompanied by a magnetization reversal.