Dynamics of entanglement in a one-dimensional Ising chain

TL;DR

This paper numerically investigates how entanglement evolves in a one-dimensional Ising spin chain, focusing on its generation from separable states and its transportation along the chain, revealing remote entanglement formation.

Contribution

It demonstrates the generation and transfer of entanglement in an Ising chain with nearest-neighbor interactions under various initial conditions.

Findings

Remote entanglement can be generated despite only nearest-neighbor interactions.

Entanglement can be transported from one end of the chain to the other.

Selective initialization of partially entangled states is possible.

Abstract

The evolution of entanglement in a one-dimensional Ising chain is numerically studied under various initial conditions. We analyze two problems concerning the dynamics of the entanglement: (i) generation of the entanglement from the pseudopure separable state and (ii) transportation of the entanglement from one end of the chain to the other. The investigated model is a one-dimensional Ising spin-1/2 chain with nearest-neighbor interactions placed in an external magnetic field and irradiated by a weak resonant transverse field. The possibility of selective initialization of partially entangled states is considered. It was shown that, in spite of the use of a model with the direct interactions between the nearest neighbors, the entanglement between remote spins is generated.