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Communications in Theoretical Physics

Thermal Entanglement in Two-Qutrit Heisenberg XX Chain with Different Dzyaloshinskii—Moriya Interaction and Nonuniform Magnetic Field

Meng Qin, Yanbiao Li, Zhong Bai, Xiao Wang, Wenyuan Wu

Published Nov 1, 2012• 2 citations
Publisher

Abstract

The effects of the different Dzyaloshinskii—Moriya (DM) interaction on thermal entanglement of a two-qutrit Heisenberg XX spin chain in a nonuniform magnetic field are investigated. Our results imply that the x-component DM interaction plays a central role in enhancing quantum entanglement and it has a higher critical temperature than the z-component DM interaction. The entanglement can be tunable controlled by changing the multiple of the magnetic fields B 1 and B 2 . Also we found that different DM interaction are competitive to each other in some conditions.

DOI
10.1088/0253-6102/58/5/07

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The effects of the different Dzyaloshinskii—Moriya (DM) interaction on thermal entanglement of a two-qutrit Heisenberg XX spin chain in a nonuniform magnetic field are investigated. Our results imply that the x-component DM interaction plays a central role in enhancing quantum entanglement and it has a higher critical temperature than the z-component DM interaction. The entanglement can be tunable controlled by changing the multiple of the magnetic fields B 1 and B 2 . Also we found that different DM interaction are competitive to each other in some conditions.
In this paper, we study the thermal entanglement in a two-qubit Heisenberg XYZ system with different Dzyaloshinskii–Moriya (DM) couplings. We show that different DM coupling parameters have different influences on the entanglement and the critical temperature. In addition, we find that when Ji (i-component spin coupling interaction) is the largest spin coupling coefficient, Di (i-component DM interaction) is the most efficient DM control parameter, which can be obtained by adjusting the direction of DM interaction.
We investigate the thermal entanglement in a spin-1/2 Ising–Heisenberg diamond chain, in which the vertical Heisenberg spin dimers alternate with single Ising spins. Due to the fact that the Dzyaloshinskii–Moriya (DM) interaction contributes to unusual and interesting magnetic properties in actual materials, and moreover it plays a significant role in the degree of the entanglement of the Heisenberg quantum spin systems, we focus on the effects of different DM interactions, including D z and D x , on the thermal entanglement of the Heisenberg spin dimer. The concurrence, as a measure of spin dimer entanglement, is calculated for different values of exchange interactions, DM interaction, external magnetic field, and temperature. It is found that the critical temperature and the critical magnetic field corresponding to the vanishing of entanglement increase with DM interaction, and the entanglement revival region gets larger by increasing DM interaction, thus DM interaction favors the formation of the thermal entanglement. It is observed that different DM interaction parameters ( D z and D x ) have remarkably different influences on the entanglement. Different from the case D z , there is the non-monotonic variation of the concurrence with temperature in the case D x , and additionally the DM interaction D x can induce the entanglement near zero temperature in the case that the antiferromagnetic Ising-type interaction constant is larger than the antiferromagnetic Heisenberg interaction constant. It is also shown that for the same value of DM interaction the critical magnetic field of the case D x is larger than that of the case D z .
We studied the properties of thermal entanglement in one-dimention two-qubit Heisenberg model,where Dzyaloshinskii-Moriya(DM) interaction between spin with x-component and y-component was considered and concurrence was calculated to research this entanglement property.The results showed that on the case of ferromagnetic and antiferromagnetic,interaction had different effects on the entanglement and critical temperature.Therefore,the entanglement could be controlled and enhanced by choosing appropriate interaction between x-component and y-component.
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Thermal pairwise entanglement of a three-qubit Heisenberg XX chain with the Dzyaloshinski-Moriya(DM) anisotropic antisymmetric interaction under an external magnetic field and quantum teleportation when using the Heisenberg chain as a channel are investigated.The entanglement and fidelity depending on the DM interaction,magnetic field and temperature are given in detail.The results show that the thermal entanglement can be controlled by magnetic field and DM interaction.Quantum teleportation will be better realized via an ferromagnetic spinchain when the DM interaction and external magnetic field are turned off and the temperature is low.The thermal entanglement cannot completely reflect the teleportation fidelity,and the same thermal entanglement could yield different average teleportation fidelities.
The thermal entanglement is investigated in a two-qubit Heisenberg XXZ system with Dzyaloshinskii–Moriya (DM) interaction. It is shown that the entanglement can be efficiently controlled by the DM interaction parameter and coupling coefficient J z . D x (the x -component parameter of the DM interaction) has a more remarkable influence on the entanglement and the critical temperature than D z (the z -component parameter of the DM interaction). Thus, by changing the DM interaction direction, we can get a more efficient control parameter to increase the entanglement and the critical temperature.