# Dynamics of a quantum phase transition in a ferromagnetic Bose-Einstein condensate

## TL;DR

This paper investigates the dynamics of a slow quantum phase transition in a spin-1 Bose-Einstein condensate, analyzing how the system's magnetization scales during the transition through analytical and numerical methods.

## Contribution

It provides an analytical derivation of the scaling laws for magnetization during a quantum phase transition in a spinor BEC, supported by numerical simulations.

## Key findings

- Analytical scaling laws for magnetization dynamics
- Numerical verification in a 1D model
- Insights into slow quantum phase transition behavior

## Abstract

We discuss dynamics of a slow quantum phase transition in a spin-1 Bose-Einstein condensate. We determine analytically the scaling properties of the system magnetization and verify them with numerical simulations in a one dimensional model.