# Violation of single-length scaling dynamics via spin vortices in an isolated spin-1 Bose gas

## TL;DR

This paper studies the non-standard domain growth dynamics in an isolated spin-1 Bose gas after a quench, revealing a violation of single-length scaling due to different vortex types and their annihilation.

## Contribution

It demonstrates how two types of spin vortices lead to a violation of the standard dynamic scaling hypothesis in a quenched spinor Bose gas.

## Key findings

- Domain growth involves two macroscopic length scales.
- Vortex decay laws exhibit universal behavior.
- Standard dynamic scaling is violated by vortex dynamics.

## Abstract

We consider the phase ordering dynamics of an isolated quasi-two-dimensional spin-1 Bose gas quenched into an easy-plane ferromagnetic phase. Preparing the initial system in an unmagnetized anti-ferromagnetic state the subsequent ordering involves both polar core and Mermin-Ho spin vortices, with the ratio between the different vortices controllable by the quench parameter. Ferromagnetic domain growth occurs as these vortices annihilate. The distinct dynamics of the two types of vortices means that the domain growth law is determined by two macroscopic length scales, violating the standard dynamic scaling hypothesis. Nevertheless we find that universality of the ordering process manifests in the decay laws for the spin vortices.