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International Journal of Quantum Information

THERMAL ENTANGLEMENT OF A TWO-QUTRIT XXZ SPIN CHAIN WITH DZIALOSHISKI-MORIYA INTERACTION

XIAO SAN MA

Published Aug 1, 2009• 0 citations
Publisher

Abstract

The effect of Dzialoshiski-Moriya (DM) interaction and anisotropy on the thermal entanglement of a two-qutrit XXZ spin chain is investigated. Our analysis implies that the DM interaction and weak anisotropy can enhance the thermal entanglement to a maximum value while the strong anisotropy plays a positive role in shrinking thermal entanglement. Furthermore, we find that the entanglement evolution in terms of anisotropy is sensitive to weak anisotropy.

DOI
10.1142/s0219749909005626

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The effect of Dzialoshiski-Moriya (DM) interaction and anisotropy on the thermal entanglement of a two-qutrit XXZ spin chain is investigated. Our analysis implies that the DM interaction and weak anisotropy can enhance the thermal entanglement to a maximum value while the strong anisotropy plays a positive role in shrinking thermal entanglement. Furthermore, we find that the entanglement evolution in terms of anisotropy is sensitive to weak anisotropy.
The effect of Dzialoshinski–Moriya (DM) interaction on thermal entanglement of an XY two-qutrit spin chain is investigated. We find that DM interaction and the anisotropy parameter can enhance quantum thermal entanglement to a maximal value individually. However, when both of them take large values, the entanglement is not enhanced, but is destroyed. Our analysis will shed some light on the understanding of the effect of the DM interaction on thermal entanglement of an XY two-qutrit spin chain.
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The negativity ( N ) as a measure of thermal entanglement (TE) is studied for a two-qutrit spin-1 anisotropic Heisenberg XXZ chain with Dzyaloshinskii—Moriya (DM) interaction in an inhomogeneous magnetic field in detail. The effects of the DM interaction parameter D z on the thermal variation of the N for given values of the external magnetic field B , a parameter b which controls the inhomogeneity of B and the bilinear interaction parameters J x = J y ≠ J z are obtained. It is found that N persists to higher values and to higher temperatures for the higher values of ± D z and for the higher positive values of J z , i.e. in the antiferromagnetic (AFM) case. When J z < 0, the ferromagnetic (FM) case, and D z is small, and if J z is strong enough to compete with D z , N decreases. In addition, N declines with the increasing values of B and b .
Thermal entanglement of a(1/2,1) mixed-spin Heisenberg XXZ model in the presence of Dzyaloshinski-Moriya(DM) interaction and anisotropy Δ is investigated.It is shown that the thermal entanglement and the critical temperature can be efficiently controlled by adjusting the DM interaction parameter and anisotropy coefficient Δ.Thus,by changing the values of DM interaction and anisotropy coefficient Δ,we can get a more efficient control parameter to increase the entanglement and expand the steady value region to slow down the decreace of the entanglement.