Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators

TL;DR

This paper analyzes the time evolution of order parameter correlators in the transverse field Ising chain after a quantum quench, providing analytic expressions for their asymptotic behavior using novel determinant and form factor methods.

Contribution

It introduces two new analytic methods for deriving the asymptotic behavior of correlators post-quench in the transverse field Ising model.

Findings

Derived explicit asymptotic expressions for correlators

Analyzed quenches within and between phases and at criticality

Compared two novel analytic approaches

Abstract

We consider the time evolution of order parameter correlation functions after a sudden quantum quench of the magnetic field in the transverse field Ising chain. Using two novel methods based on determinants and form factor sums respectively, we derive analytic expressions for the asymptotic behaviour of one and two point correlators. We discuss quenches within the ordered and disordered phases as well as quenches between the phases and to the quantum critical point. We give detailed account of both methods.