Eur. Phys. J. D 63, 473-482 (2011)
https://doi.org/10.1140/epjd/e2011-20032-5

Regular Article

Entanglement transfer via XXZ Heisenberg chain with DM interaction

¹ Solid state group, Faculty of Physics, Yazd University, Yazd, Iran
² Department of Physics, University of Isfahan, Hezar Jarib Ave., Isfahan, Iran

^a e-mail: h.r.mhmdi@gmail.com

Received: 15 January 2011
Received in final form: 6 April 2011
Published online: 23 June 2011

Abstract

The role of spin-orbit interaction arises from the Dzyaloshinskii-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 Dzyaloshinskii-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 depend on the strength of Dzyaloshinskii-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. We show for large values of the strength of this interaction a large family of XXZ chains becomes efficient quantum channels for whole values of anisotropy parameter in the region  −2 ≤ Δ ≤ 2.