Entanglement transfer via XXZ Heisenberg chain with DM interaction
Solid state group, Faculty of Physics, Yazd
2 Department of Physics, University of Isfahan, Hezar Jarib Ave., Isfahan, Iran
a e-mail: firstname.lastname@example.org
Received in final form: 6 April 2011
Published online: 23 June 2011
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.
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2011