The effect of spin-orbit interaction on entanglement of two-qubit Heisenberg XYZ systems in an inhomogeneous magnetic field

TL;DR

This paper explores how spin-orbit interaction influences entanglement in a two-qubit Heisenberg XYZ system under an inhomogeneous magnetic field, revealing entanglement revival phenomena and effects on quantum teleportation fidelity.

Contribution

It investigates the impact of spin-orbit interaction on ground state and thermal entanglement, including revival regions and teleportation performance, in a two-qubit Heisenberg XYZ model.

Findings

Entanglement vanishes and revives depending on the spin-orbit parameter D.

Maximum entanglement occurs during revival regions.

Higher D increases the critical temperature for entanglement survival.

Abstract

The role of spin-orbit interaction on the ground state and thermal entanglement of a Heisenberg XYZ two-qubit system in the presence of an inhomogeneous magnetic field is investigated. For a certain value of spin-orbit parameter $D$, the ground state entanglement tends to vanish suddenly and when $D$ crosses its critical value $D_c$, the entanglement undergoes a revival. The maximum value of the entanglement occurs in the revival region. In finite temperatures there are revival regions in $D-T$ plane. In these regions, entanglement first increases with increasing temperature and then decreases and ultimately vanishes for temperatures above a critical value. This critical temperature is an increasing function of $D$, thus the nonzero entanglement can exist for larger temperatures. In addition, the amount of entanglement in the revival region depends on the spin-orbit parameter. Also, the entanglement teleportation via the quantum channel constructed by the above system is investigated and finally the influence of the spin-orbit interaction on the fidelity of teleportation and entanglement of replica state is studied.