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理论物理通讯：英文版

Ground-State and Thermal Entanglement in Three-Spin Heisenberg-XXZ Chain with Three-Spin Interaction

Zhang, Yong, Gui‐Lu Long, Gui-Lu

Published Jan 1, 2007• 2 citations
OpenAlex

Abstract

一个三纺纱的 XXZ 海森堡链 withthree 纺纱相互作用的纠纷性质借助于对的同时发生被学习明智。纠纷。我们显示出 thatground 状态对明智的纠纷，对明智的热纠纷，或量阶段转变不是在反的现在铁磁性的旋转链。为铁磁性的盒子，量阶段转变在 1 当 J/T 的价值增加时，明智的热纠纷增加的三纺纱的联合力量，和对并且与各向异性的相互作用和三纺纱的相互作用减少为各向异性的相互作用并且在一些珍视的Δ = 发生。另外，我们发现那增加各向异性的相互作用和三纺纱的相互作用愿望减少批评温度。

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The entanglement properties of a three-spin XXZ Heisenberg chain with three-spin interaction are studied by means of concurrence of pairwise entanglement. We show that ground-state pairwise entanglement, pairwise thermal entanglement, or quantum phase transition is not present in antiferromagnetic spin chain. For the ferromagnetic case, quantum phase transition takes place at Δ = 1 for anisotropic interaction and at some values of three-spin coupling strength, and pairwise thermal entanglement increases when the value of J / T increases and with anisotropic interaction and three-spin interaction decrease. In addition, we find that increasing the anisotropic interaction and the three-spin interaction will decrease critical temperature.

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Effects of Different Spin-Spin Couplings and Magnetic Fields on Thermal Entanglement in Heisenberg XYZ Chain

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有不同不同类的磁场的一个 two-qubit Heisenberg XYZ 模型的热纠纷上的纺纱纺纱相互作用的效果被调查。纠纷依赖于纺纱纺纱相互作用和不同类的磁场，这被显示出。越大 Ji (i 轴纺纱纺纱相互作用) ，越 higher 批评价值双性人(i 轴制服磁场) 有。而且在弱地的政体，，更大的 Ji 在强壮地的政体对应于更多的纠纷，不同 Ji 对应于一样的纠纷。另外，随 Ji 的增加，同时发生能为更小的双性人更快接近最大的价值，这被发现，并且能为更小的双性人到达更大的价值(i 轴不一致的磁场) 。我们能因此由增加纺纱纺纱相互作用 Ji，或由减少得到更多的纠纷一致磁场双性人和不一致的磁场双性人。

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Pairwise entanglement in three-qubit Heisenberg model with Dzyaloshinskii-Moriya interaction

Yanhui Wang, Yun‐Jie Xia, 山东省激光偏光与信息技术重点实验室，曲阜师范大学物理系，曲阜 273165

In this paper, we study the improvement and manipulation of pairwise thermal entanglement in one-dimentional three-qubit Heisenberg model, where Dzyaloshinskii-Moriya （DM） interaction is considered and concurrence is calculated to research this entanglements property. The results show that for XXX model, DM interaction can induce entanglement in the antiferromagnetic and ferromagnetic spin chains although the required critical values are different for these cases. For XXZ model, by introducing DM interaction D, antiferromagnetic spin chain has entanglement which is absent when D=0, and in addition, for antiferromagnetic and ferromagnetic cases, DM interaction D and the anisotropy parameter Δ have different effects on entanglement. As a result, the entanglement can be controlled and enhanced by choosing appropriate DM interaction and anisotropy parameter. Furthermore, we find that at the same temperature, no matter for antiferromagnetic or ferromagnetic spin chains, the critical DM interaction inducing entanglement should be greater in a three-qubit XXZ model than that in a two-qubit XXZ model.

Acta Physica Sinica•Jan 1, 2009•7 citations
一个三纺纱的 XXZ 海森堡链 withthree 纺纱相互作用的纠纷性质借助于对的同时发生被学习明智。纠纷。我们显示出 thatground 状态对明智的纠纷，对明智的热纠纷，或量阶段转变不是在反的现在铁磁性的旋转链。为铁磁性的盒子，量阶段转变在 1 当 J/T 的价值增加时，明智的热纠纷增加的三纺纱的联合力量，和对并且与各向异性的相互作用和三纺纱的相互作用减少为各向异性的相互作用并且在一些珍视的Δ = 发生。另外，我们发现那增加各向异性的相互作用和三纺纱的相互作用愿望减少批评温度。
The entanglement properties of a three-spin XXZ Heisenberg chain with three-spin interaction are studied by means of concurrence of pairwise entanglement. We show that ground-state pairwise entanglement, pairwise thermal entanglement, or quantum phase transition is not present in antiferromagnetic spin chain. For the ferromagnetic case, quantum phase transition takes place at Δ = 1 for anisotropic interaction and at some values of three-spin coupling strength, and pairwise thermal entanglement increases when the value of J / T increases and with anisotropic interaction and three-spin interaction decrease. In addition, we find that increasing the anisotropic interaction and the three-spin interaction will decrease critical temperature.
有不同不同类的磁场的一个 two-qubit Heisenberg XYZ 模型的热纠纷上的纺纱纺纱相互作用的效果被调查。纠纷依赖于纺纱纺纱相互作用和不同类的磁场，这被显示出。越大 Ji (i 轴纺纱纺纱相互作用) ，越 higher 批评价值双性人(i 轴制服磁场) 有。而且在弱地的政体，，更大的 Ji 在强壮地的政体对应于更多的纠纷，不同 Ji 对应于一样的纠纷。另外，随 Ji 的增加，同时发生能为更小的双性人更快接近最大的价值，这被发现，并且能为更小的双性人到达更大的价值(i 轴不一致的磁场) 。我们能因此由增加纺纱纺纱相互作用 Ji，或由减少得到更多的纠纷一致磁场双性人和不一致的磁场双性人。
In this paper, we study the improvement and manipulation of pairwise thermal entanglement in one-dimentional three-qubit Heisenberg model, where Dzyaloshinskii-Moriya （DM） interaction is considered and concurrence is calculated to research this entanglements property. The results show that for XXX model, DM interaction can induce entanglement in the antiferromagnetic and ferromagnetic spin chains although the required critical values are different for these cases. For XXZ model, by introducing DM interaction D, antiferromagnetic spin chain has entanglement which is absent when D=0, and in addition, for antiferromagnetic and ferromagnetic cases, DM interaction D and the anisotropy parameter Δ have different effects on entanglement. As a result, the entanglement can be controlled and enhanced by choosing appropriate DM interaction and anisotropy parameter. Furthermore, we find that at the same temperature, no matter for antiferromagnetic or ferromagnetic spin chains, the critical DM interaction inducing entanglement should be greater in a three-qubit XXZ model than that in a two-qubit XXZ model.