Entanglement Transfer via XXZ Heisenberg chain with DM Interaction

TL;DR

This paper investigates how Dzyaloshinski-Moriya interaction enhances entanglement transfer in XXZ Heisenberg chains, showing improved transmission speed and entanglement quality, making the chains more effective quantum channels.

Contribution

It demonstrates that Dzyaloshinski-Moriya interaction can significantly improve entanglement transfer efficiency in XXZ chains, broadening the range of effective quantum channels.

Findings

Dzyaloshinski-Moriya interaction increases entanglement transfer speed.

Enhanced interaction improves entanglement quantity in the chain.

Large interaction strength makes many XXZ chains efficient quantum channels.

Abstract

The role of spin-orbit interaction, arises from the Dzyaloshinski-Moriya anisotropic antisymmetric interaction, on the entanglement transfer via an antiferromagnetic XXZ Heisenberg chain is investigated. From symmetrical point of view, the XXZ Hamiltonian with Dzyaloshinski-Moriya interaction can be replaced by a modified XXZ Hamiltonian which is defined by a new exchange coupling constant and rotated Pauli operators. The modified coupling constant and the angle of rotations are depend on the strength of Dzyaloshinski-Moriya interaction. In this paper we study the dynamical behavior of the entanglement propagation through a system which is consist of a pair of maximally entangled spins coupled to one end of the chain. The calculations are performed for the ground state and the thermal state of the chain, separately. In both cases the presence of this anisotropic interaction make our channel more efficient, such that the speed of transmission and the amount of the entanglement are improved as this interaction is switched on. We show that for large values of the strength of this interaction a large family of XXZ chains becomes efficient quantum channels, for whole values of an isotropy parameter in the region $-2 \leq \Delta \leq 2$.