Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field

TL;DR

This paper investigates the quantum phase transitions, fidelity measures, and quench dynamics of the extended quantum compass model in a transverse field, revealing critical behaviors and revival phenomena related to quantum criticality.

Contribution

It provides a comprehensive analysis of ground state fidelity, susceptibility, and quench dynamics in the extended quantum compass model, including scaling relations and revival time characterization.

Findings

Fidelity susceptibility exhibits universal critical exponents across different surfaces.

Revival times depend on system size and maximum group velocity of quasi-particles.

Distinct revival structures indicate different equilibration regimes after quantum quenches.

Abstract

We study the ground state fidelity, fidelity susceptibility and quench dynamics of the extended quantum compass model in a transverse field. This model reveals a rich phase diagram which includes several critical surfaces depending on exchange couplings. We present a characterization of quantum phase transitions in terms of the ground state fidelity between two ground states obtained for two different values of external parameters. However, we derive scaling relations describing the singular behavior of fidelity susceptibility in the quantum critical surfaces. Moreover, we study the time evolution of the system after a critical quantum quench using the Loschmidt. We find that the revival times of Loschmidt echo are given by $T_{rev}=N/2v_{max}$, where $N$ is the size of the system and $v_{max}$ is the maximum of lower bound group velocity of quasi-particles. Although the fidelity susceptibility shows the same exponent in all critical surfaces, the structure of the revivals after critical quantum quenches displays two different regimes reflecting different equilibration dynamics.