Dynamical phase transition and scaling in the chiral clock Potts chain

TL;DR

This paper explores how chiral interactions influence the dynamical phase transitions and scaling behavior in quantum three-state Potts chains, revealing that increased chirality lowers critical times and alters correlation length exponents.

Contribution

It introduces a TDVP-based analysis of dynamical critical behavior in chiral quantum Potts chains, highlighting the impact of chirality on phase transition timing and critical exponents.

Findings

Chiral interaction lowers the first critical time $t_{1}^{*}$.

Critical exponent $ u$ decreases with increasing chirality.

Provides a physical explanation for the observed numerical results.

Abstract

Based on time-dependent variational principle (TDVP) techniques, we investigate the dynamical critical behavior of quantum three-state Potts chains with chiral interactions. Using Loschmidt echo, order parameter, and entanglement entropy as an indicator, we show that as the chiral interaction $\theta$ increases, the first critical time $t_{1}^{*}$ shift towards lower values, indicating a chirality-enhanced dynamical phase transition. Moreover, we perform dynamical scaling for the Loschmidt echo and obtain the critical exponent $\nu$ at the non-conformal critical point. The results show that as the chiral interaction $\theta$ increases, the correlation length exponent $\nu$ decreases, which is similar to the long-range interaction case. Finally, we give a simple physical argument to understand the above numerical results. This work provides a useful reference for further research on many-body physics out of equilibrium with chiral interaction.