# Domain Wall Dynamics near a Quantum Critical Point

## TL;DR

This paper investigates the behavior of domain walls in a one-dimensional quantum spin chain near a critical point, revealing stability and divergence in width as the critical point is approached.

## Contribution

It provides numerical evidence of domain wall stability and characterizes the divergence of domain wall width near the quantum critical point.

## Key findings

- Domain walls are dynamically stable in the Heisenberg-Ising model.
- Domain wall width diverges as $( ext{Delta} - 1)^{-1/2}$ near the critical point.
- The study enhances understanding of quantum critical dynamics in spin chains.

## Abstract

We study the real-time domain-wall dynamics near a quantum critical point of the one-dimensional anisotropic ferromagnetic spin 1/2 chain. By numerical simulation, we find the domain wall is dynamically stable in the Heisenberg-Ising model. Near the quantum critical point, the width of the domain wall diverges as $(\Delta -1) ^{-1/2}$.