Entanglement and its evolution after a quench in the presence of an energy current

TL;DR

This paper investigates how entanglement entropy evolves in an Ising spin chain with Dzyaloshinskii-Moriya interaction after a quantum quench, revealing the impact of energy currents and initial states on system dynamics.

Contribution

It introduces a study of entanglement dynamics in an Ising model with energy current, highlighting effects of anisotropic interactions on phase diagram and quench behavior.

Findings

Entanglement entropy captures effects of anisotropic interactions.

Energy current influences entanglement dynamics after a quench.

Initial excited states affect the evolution of entanglement.

Abstract

We study the Ising spin chain with a Dzyaloshinskii-Moriya interaction focusing on the static and dynamic properties of the entanglement entropy, following a quantum quench. We show that the effects of the additional anisotropic interaction on the phase diagram and on the dynamics of the system are captured by the properties of the entanglement entropy. In particular, the model provides a way to study the quench dynamics in a system with an energy current. We consider quenches starting from an initial excited state of the Ising spin chain, and we analyze the effects of different initial conditions.