# Entanglement and spectra in topological many-body localized phases

## TL;DR

This paper investigates how topological properties interact with many-body localized phases, using numerical methods to analyze spectra and entanglement, revealing insights into phase transitions and topological features in disordered quantum systems.

## Contribution

It provides a comprehensive numerical analysis of topological features in many-body localized phases using tensor network and exact diagonalization methods.

## Key findings

- Topological features persist in many-body localized phases.
- Phase transition signatures between topological and trivial states are characterized.
- Eigenstate entanglement properties reveal the nature of the transition.

## Abstract

Many-body localized systems in which interactions and disorder come together defy the expectations of quantum statistical mechanics: In contrast to ergodic systems, they do not thermalize when undergoing nonequilibrium dynamics. What is less clear, however, is how topological features interplay with many-body localized phases as well as the nature of the transition between a topological and a trivial state within the latter. In this work, we numerically address these questions, using a combination of extensive tensor network calculations, specifically DMRG-X, as well as exact diagonalization, leading to a comprehensive characterization of Hamiltonian spectra and eigenstate entanglement properties.