Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain

TL;DR

This paper investigates the dynamics of the transverse-field Ising chain during and after finite-time quantum quenches, analyzing energy, correlations, and Loschmidt echo to uncover universal relaxation properties.

Contribution

It introduces a detailed analysis of finite-duration quenches in the transverse-field Ising chain, highlighting universal features of the relaxation process.

Findings

Universal relaxation behavior identified

Dynamics depend on quench protocols

Stationary correlations analyzed

Abstract

We study the time evolution in the transverse-field Ising chain subject to quantum quenches of finite duration, ie, a continuous change in the transverse magnetic field over a finite time. Specifically, we consider the dynamics of the total energy, one- and two-point correlation functions and Loschmidt echo during and after the quench as well as their stationary behaviour at late times. We investigate how different quench protocols affect the dynamics and identify universal properties of the relaxation.