Focusing on the dynamics of the entanglement in spin junction

TL;DR

This paper investigates how entanglement evolves over time in a one-dimensional spin-1/2 XY model with a transverse magnetic field, focusing on the transfer and dynamics of entanglement between system spins and the environment.

Contribution

It provides new insights into the time-dependent behavior of entanglement transfer in spin chains, especially at the edges and within the environment, under different anisotropy conditions.

Findings

Entanglement between system spins decreases and transfers to the environment.

In the Ising limit, entanglement fully returns to the system over time.

Edge spins become entangled quickly but lose entanglement shortly after.

Abstract

We study the dynamics of entanglement in the one-dimensional spin-1/2 XY model in the presence of a transverse magnetic field. A pair of spins are considered as an open quantum system, while the rest of the chain plays the role of the environment. Our study focuses on the pair of spins in the system, the edge spins, and the environment. It is observed that the entanglement between the pair of spins in the system decreases and it can transfer to the rest of the spins. For a value of anisotropy leading to the Ising model, the entanglement is completely back to the system by passing time. On the other hand, the entanglement can only be seen under certain conditions between edge spins of the system and the environment. The pair of spins on the edge will be entangled very quickly and it will disappear after a very short time. A pair of spins far from the system was chosen to examine the behavior of entanglement in the environment. As expected, the transmission of entanglement from the system to the environment takes notable time.