Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties

TL;DR

This paper investigates the stationary state properties of the transverse field Ising chain after a quantum quench, showing that these states are described by a generalized Gibbs ensemble and analyzing the approach to stationarity.

Contribution

It demonstrates that the stationary states following a quantum quench are accurately described by a generalized Gibbs ensemble in the transverse field Ising chain.

Findings

Stationary state properties are described by a generalized Gibbs ensemble.

Analysis of the late-time approach to the stationary state.

Spin-spin correlation functions are characterized post-quench.

Abstract

We consider the stationary state properties of the reduced density matrix as well as spin-spin correlation functions after a sudden quantum quench of the magnetic field in the transverse field Ising chain. We demonstrate that stationary state properties are described by a generalized Gibbs ensemble. We discuss the approach to the stationary state at late times.