Dynamics of entanglement in the transverse Ising model

TL;DR

This paper investigates how nearest-neighbor entanglement evolves in a one-dimensional transverse Ising model, revealing that the timing of entanglement maxima signals quantum phase transitions.

Contribution

It introduces a new indicator of quantum phase transition based on the timing of entanglement maxima in the transverse Ising model.

Findings

Entanglement reaches its first maximum at a time with a minimum at the critical point.

The study links entanglement dynamics to quantum phase transitions.

The initial state is the thermal ground state of the pure Ising model.

Abstract

We study the evolution of nearest-neighbor entanglement in the one dimensional Ising model with an external transverse field. The system is initialized as the so called "thermal ground state" of the pure Ising model. We analyze properties of generation of entanglement for different regions of external transverse fields. We find that the derivation of the time at which the entanglement reaches its first maximum with respect to the reciprocal transverse field has a minimum at the critical point. This is a new indicator of quantum phase transition.