Emergent dynamical quantum phase transition in a $Z_3$ symmetric chiral clock model

TL;DR

This paper investigates how chiral phases in a $Z_3$ symmetric chiral clock model lead to dynamical quantum phase transitions, revealing their relation through Lee-Yang-Fisher zeros and providing analytical predictions.

Contribution

It uncovers the mechanism linking chiral phases to DQPTs and derives an analytical expression for the zeros of the dynamical partition function.

Findings

Chiral phases can induce DQPT at specific angles.

The distribution of Lee-Yang-Fisher zeros relates to DQPT emergence.

An analytical formula predicts all angles leading to DQPT.

Abstract

We study the quench dynamics in a $Z_3$ symmetric chiral clock model (CCM). The results reveal that chiral phases can lead to the emergence of dynamical quantum phase transition (DQPT). By analyzing Lee-Yang-Fisher zeros' distribution in the complex plane, we uncover the relation between the chiral phase and the emergence of DQPT. In concrete terms, only by taking some special angles can DQPT be induced. We confirm the above relation by computing the non-analytic points in Loschmidt echo return rate function. Furthermore, through the analysis of the corresponding dynamical partition function, we reveal the mechanism of the emergent DQPT and deduce the analytical expression of dynamical partition function's zero points' coordinates. Based on the analytic expression, one can obtain all the angles that induce DQPT's emergence and predict more possible DQPT in the system.