# Dynamical quantum phase transitions in the quantum Potts chain

## TL;DR

This paper investigates dynamical quantum phase transitions in the three-state quantum Potts chain, revealing non-analytic behavior in the return amplitude after quenches across the critical point, with no direct link to critical scaling.

## Contribution

It provides a detailed analysis of the non-analyticities in the return amplitude during quantum quenches in the Potts chain, highlighting differences from other models.

## Key findings

- Rate function is non-analytic at critical times
- Behavior is linear near critical times
- No direct link to quantum critical scaling

## Abstract

We analyze the dynamics of the return amplitude following a sudden quench in the three-state quantum Potts chain. For quenches crossing the quantum critical point from the paramagnetic to the ferromagnetic phase, the corresponding rate function is non-analytic at critical times and behaves linearly in their vicinity. In particular, we find no indication of a link between the time evolution close to the critical times and the scaling properties of the quantum critical point in the Potts chain.