# Quantum dynamics of a domain wall in the presence of dephasing

## TL;DR

This paper compares quantum transport in particle and domain wall models under dephasing, revealing similar behaviors on infinite chains but notable differences on finite chains, especially in spectral broadening.

## Contribution

It provides an exact analysis of quantum dynamics for both models under Markovian dephasing, highlighting differences in spectral features on finite systems.

## Key findings

- Transport responses are nearly identical on infinite chains.
- Spectral line broadening is more pronounced for domain walls on finite chains.
- Exact solutions elucidate the impact of dephasing on different quantum models.

## Abstract

We compare quantum dynamics in the presence of Markovian dephasing for a particle hopping on a chain and for an Ising domain wall whose motion leaves behind a string of flipped spins. Exact solutions show that on an infinite chain, the transport responses of the models are nearly identical. However, on finite-length chains, the broadening of discrete spectral lines is much more noticeable in the case of a domain wall.