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Chinese Physics B 2008年第7期17卷 2339-2345页

作者：黄利元方卯发 College of Physics and Information Science Hunan Normal University

The thermal entanglement and teleportation of a thermally mixed entangled state of a two-qubit Heisenberg XXX chain under the Dzyaloshinski Moriya （DM） anisotropic antisymmetric interaction through a noisy quantum channel given by a Werner state is investigated. The dependences of the thermal entanglement of the teleported state on the DM coupling constant, the temperature and the entanglement of tbe noisy quantum channel are studied }n detail for both the ferromagnetic and the antiferromagnetic cases. The result shows that a minimum entanglement of the noisy quantum channel must be provided in order to realize the entanglement teleportation. The values of fidelity of the teleported state are also studied for these two cases. It is found that under certain conditions, we can transfer an initial state with a better fidelity than that for any classical communication protocol.

关键词： thermal entanglement concurrence entanglement teleportation

thermal entanglement of the Ising Heisenberg diamond chain with Dzyaloshinskii Moriya interaction

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Chinese Physics B 2015年第11期24卷 110-117页

作者：谯洁周斌 Department of Physics Hubei University

We investigate the thermal entanglement in a spin-l/2 Ising-Heisenberg diamond chain, in which the vertical Heisen- berg spin dimers alternate with single Ising spins. Due to the fact that the Dzyaloshinskii-Moriya （DM） interaction con- tributes 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 Dz and Dx, 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 interac- tion, thus DM interaction favors the formation of the thermal entanglement. It is observed that different DM interaction parameters （Dz and Dx） have remarkably different influences on the entanglement. Different from the case Dz, there is the non-monotonic variation of the concurrence with temperature in the case Dx, and additionally the DM interaction Dx 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 Dx is larger than that of the case Dz.

关键词： thermal entanglement Ising-Heisenberg diamond chain Dzyaloshinskii-Moriya interaction

thermal entanglement in a two-qubit Heisenberg XY chain with the Dzyaloshinskii-Moriya interaction

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Chinese Physics B 2008年第8期17卷 2800-2803页

作者：秦猛徐胜龙陶应娟田东平 School of Science Xi'an Jiaotong University College of Physics and Information Technology Shaanxi Normal University Xi'an Institute of Post and Telecommunication

This paper investigates thermal entanglements of a two-qubit Heisenberg XY chain in the presence of the Dzyaloshinskii-Moriya anisotropic antisymmetric interaction. By the concept of concurrence, it is found that the effects of spin-orbit coupling on the entanglement are different from those of spin-spin model. The analytical expressions of concurrence are obtained for this model.

关键词： thermal entanglement Heisenberg XY chain Dzyaloshinskii-Moriya interaction

thermal entanglement of the spin-1 Ising-Heisenberg diamond chain with biquadratic interaction

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Chinese Physics B 2017年第7期26卷 31-38页

作者：郑一丹毛竹周斌 Department of Physics Hubei University

We investigate the thermal entanglement of the spin-1 Ising-Heisenberg diamond chain, which can be regarded as a theoretical model for the homometallic molecular ferrimagnet [Ni_3（C_4H_2O_4）_2-（μ_3-OH）_2（H_2O）_4]n ·（2H_2O）n. Two cases,i.e., the isotropic Heisenberg（Ising-XXX） coupling model and anisotropic Heisenberg（Ising-XXZ） coupling model, are discussed respectively. The negativity is chosen as the measurement of the thermal entanglement. By means of the transfermatrix approach, we focus on the effects of biquadratic interaction parameters on the negativity of the infinite spin-1 Ising-Heisenberg diamond chain. In the Ising-XXX coupling model, it is shown that for the case with ferromagnetic coupling the thermal entanglement can be induced by the biquadratic interaction, but the external magnetic field will suppress the occurrence of the entanglement induced by the biquadratic interaction. In the Ising-XXZ coupling model,for the case with antiferromagnetic coupling, due to the biquadratic interaction the effect of the anisotropy parameter on the entanglement will be suppressed at near-zero temperature. Moreover, the biquadratic interaction makes the threshold temperature increase. The effects of the external magnetic field on the thermal entanglement are also discussed, and it is observed that the entanglement revival phenomena exist in both models considered.

关键词： thermal entanglement Ising-Heisenberg diamond chain negativity transfer-matrix approach

thermal entanglement in molecular spin rings

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Chinese Physics B 2010年第11期19卷 117-123页

作者：侯净敏杜龙丁伽焱张文新 Department of Physics Southeast University

The thermal entanglement in the triangular molecular spin ring with Dzyaloshinskii-Moriya interaction is studied. The concurrences of arbitrary two spins of the triangular molecular spin ring for various cases are evaluated. The tendency of the concurrence with Dzyaloshinskii-Moriya interaction and temperature is analysed and discussed. We note that the concurrence arrives at its maximum in the regime with the large Dzyaloshinskii-Moriya interaction and low temperature, and gradually decreases to zero with the increase of temperature. The concurrence has different features for the ferromagnetic and antiferromagnetic cases. For completeness, we also numerically calculate the concurrence of spin rings with N 〉 3 spins and analyse their behaviours.

关键词： thermal entanglement molecular spin ring concurrence

thermal entanglement in two-qutrit spin-1 anisotropic Heisenberg model with inhomogeneous magnetic field

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Chinese Physics B 2010年第9期19卷 183-190页

作者： Erhan Albayrak Erciyes University Department of Physics

The thermal entanglement of a two-qutrit spin-1 anisotropic Heisenberg XXZ chain in an inhomogeneous magnetic field is studied in detail. The effects of the external magnetic field （B）, a parameter b which controls the inhomogeneity of B, and the bilinear interaction parameters Jx = Jy ≠ Jz on the thermal variation of the negativity are studied in detail. It is found that negativity N decreases when the values of magnetic field, inhomogeneity b and temperature are increasing. In addition, N remains at higher temperatures for higher values of Jz and lower values of B and b.

关键词： negativity XXZ model thermal entanglement qutrit spin-1 magnetic field

thermal entanglement in a spin-1/2 Ising-Heisenberg butterfly-shaped chain with impurities

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Chinese Physics B 2020年第11期29卷 212-218页

作者： Meng-Ru Ma Yi-Dan Zheng Zhu Mao Bin Zhou Department of Physics Hubei UniversityWuhan 430062China

We investigate the effect of impurities on the thermal entanglement in a spin-1/2 Ising-Heisenberg butterfly-shaped chain,where four interstitial Heisenberg spins are localized on the vertices of a rectangular plaquette in a unit *** using the transfer-matrix approach,we numerically calculate the partition function and the reduced density matrix of this *** bipartite thermal entanglement between different Heisenberg spin pairs is quantified by the *** also discuss the fluctuations caused by the impurities through the uniform distribution and the Gaussian *** the effects of the external magnetic field,temperature,Heisenberg and Ising interactions as well as the parameter of anisotropy on the thermal entanglement,our results show that comparing with the case of the clean model,in both the twoimpurity model and the impurity fluctuation model the entanglement is more robust within a certain range of anisotropic parameters and the region of the magnetic field where the entanglement occurred is also larger.

关键词： thermal entanglement Ising–Heisenberg butterfly-shaped chain impurities transfer-matrix approach

thermal entanglement in Lipkin-Meshkov-Glick Model

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Communications in Theoretical Physics 2011年第7期56卷 61-66页

作者：杜龙张文新丁伽焱王国祥侯净敏 Department of Physics Southeast University

We investigate the thermal entanglement in the Lipkin-Meshkov-G1ick （LMG） model which consists of spin-1/2 particles with XXZ-type exchange interactions between any pair of them. The ferromagnetic （FM） and antiferromagnetic （AFM） cases are completely analyzed at both finite temperature and zero temperature. According to the results obtained by accurate numerical calculation, several interesting physic phenomena and characteristics of thermal entanglement in the LMG model are found. Not only do we evaluate the entanglement of the LMG model, but also discover the correlations between macroscopic physical quantities and thermal entanglement.

关键词： thermal entanglement Lipkin-Meshkov-Glick model concurrence

thermal entanglement of a Two-Qubit XXZ Heisenberg Chain with Dzialoshinski-Moriya Interaction

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Communications in Theoretical Physics 2009年第11期52卷 817-819页

作者： QIAN Li FANG Jian-Xing School of Physical Science and Technology Suzhou University Suzhou 215006 China

The effect of DziaJoshinski-Moriya （DM） interaction on thermal entanglement of a two-qubit XXZ spin chain in a homogenous magnetic field is investigated. It is found that the DM interaction can enhance thermal entan... 详细信息

关键词： XXZ spin chain DM interaction thermal entanglement

thermal entanglement in Two-Qutrit Heisenberg XX Chain with Different Dzyaloshinskii-Moriya Interaction and Nonuniform Magnetic Field

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Communications in Theoretical Physics 2012年第11期58卷 653-656页

作者：秦猛李延标白忠王晓武文远 Institute of Science PLA University of Science and Technology

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 interaztion 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 B1 and B2. Also we found that different DM interaction are competitive to each other in some conditions.

关键词： two-qutrit chain different Dzyaloshinskii Moriya interaction thermal entanglement