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Journal of Guizhou Normal University

Thermal entanglement in the Heisenberg XXZ model under an inhomogeneous magnetic field

WU Ke-dong

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

We study the thermal entanglement in the two-qubit anisotropic XXZ model in the presence of an external inhomogeneous magnetic field along the z axis.Concurrence,the measurement of entanglement,is calculated.The effects of the anisotropic parameter Δ on the thermal entanglement are studied carefully for both the antiferromagnetic and ferromagnetic cases.The critical temperature Tc can also be controlled by the anisotropic parameter Δ.

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We study the thermal entanglement in the two-qubit anisotropic XXZ model in the presence of an external inhomogeneous magnetic field along the z axis.Concurrence,the measurement of entanglement,is calculated.The effects of the anisotropic parameter Δ on the thermal entanglement are studied carefully for both the antiferromagnetic and ferromagnetic cases.The critical temperature Tc can also be controlled by the anisotropic parameter Δ.
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The thermal entanglement in a two-qubit anisotropic Heisenberg XXZ system, also XYZ system, with Dzyaloshinskii-Moriya (DM) couplings in an inhomogenous magnetic field, was studied. The effects of these two kinds of anisotropies on the thermal entanglement have been studied in detail in the concept for concurrence, the measure of entanglement. The analytical expressions of concurrence are obtained for this model. It is found that the DM interaction can enhance thermal entanglement and can be efficiently controlled by the DM interaction parameter and ehchange interaction Jx, Jy and Jz. When D is large enough, the entanglement can exist for larger temperatures and strong magnetic field. We also analysed thermodynamic properties of Heisenberg model and the most important results were shown in the paper.