# Dynamical topological quantum phase transitions in nonintegrable models

## TL;DR

This paper investigates dynamical quantum phase transitions in the nonintegrable $S=1$ XXZ model during sudden quenches, revealing nonanalyticities in return probability, links to string order, and entanglement enhancement.

## Contribution

It demonstrates the occurrence of dynamical phase transitions in a nonintegrable model and connects these to string order dynamics and entanglement.

## Key findings

- Nonanalyticities in the return probability rate function indicate dynamical phase transitions.
- String order parameter dynamics are linked to these phase transitions.
- Enhanced two-site entanglement accompanies the dynamical phase transitions.

## Abstract

We consider sudden quenches across quantum phase transitions in the $S=1$ XXZ model starting from the Haldane phase. We demonstrate that dynamical phase transitions may occur during these quenches that are identified by nonanalyticities in the rate function for the return probability. In addition, we show that the temporal behavior of the string order parameter is intimately related to the subsequent dynamical phase transitions. We furthermore find that the dynamical quantum phase transitions can be accompanied by enhanced two-site entanglement.