Various Correlations in the Anisotropic Heisenberg XYZ Model with Dzyaloshinski—Moriya Interaction

Mamtimin Tursun,Rabigul Mamtimin,Pan-Pan Qiao,Ahmad Abliz,Ablimit Abliz

doi:10.1088/0256-307x/30/3/030303

Abstract

Various thermal correlations as well as the effect of intrinsic decoherence on the correlations are studied in a two-qubit Heisenberg XYZ spin chain with the Dzyaloshinski—Moriya (DM) interaction along the z direction, i.e. Dz. It is found that tunable parameter Dz may play a constructive role on the concurrence C, classical correlation (CC) and quantum discord (QD) in thermal equilibrium while it plays a destructive role on the correlations in the intrinsic decoherence case. The entanglement and quantum discord exhibit collapse and revival under the phase decoherence. With a proper combination of the system parameters, the correlations can effectively be kept at high steady state values despite the intrinsic decoherence.

Highlights

Entanglement is a kind of quantum nonlocal correlation and has been deeply studied in the past years [1,2,3,4]
Some researches show that quantum discord (QD), concurrence (C) and classical correlation (CC) are respectively independent measures of correlations with no simple relative ordering and QD is more practical than entanglement [7]
In this Letter, we study the QD, CC and C in an anisotropic Heisenberg XYZ model with the DM interaction both in the thermal equilibrium case and the intrinsic decoherence case, and discuss how the DM interaction influence the correlations in such a system

Summary

INTRODUCTION

Entanglement is a kind of quantum nonlocal correlation and has been deeply studied in the past years [1,2,3,4]. The quantum discord (QD) which measures a more general type of quantum correlation, is found to have nonzero values even for separable mixed states [5]. B.Dakic et al [24] have introduced an analytically computable quantity, geometric measure of discord (GM D), and given a necessary and sufficient condition for the existence of nonzero QD for any dimensional bipartite states. The effect of DM interaction on QD in Heisenberg XY model has been discussed in Ref.[16], in which the authors showed that QD can describe more information about quantum correla-

THE MODEL AND DEFINITIONS OF THE VARIOUS CORRELATIONS

EFFECTS OF DM INTERACTION ON VARIOUS THERMAL CORRELATIONS

INTRINSIC DECOHERENCE OF VARIOUS CORRELATIONS

CONCLUSION