Boundary Quantum Entanglement of the XXZ Spin Chain with Boundary Impurities

The boundary quantum entanglement for the s = 1/2 X X Z spin chain with boundary impurities is studied via the density matrix renormalization group （DMRG） method. It is shown that the entanglement entropy of the boundary bond （the impurity and the chain spin next to it） behaves differently in different phases. The relationship between the singular points of the boundary entropy and boundary quantum critical points is discussed.     

XXZ模型及其对称代数的结构

本文以具量子代数SL_q(2)对称性的XXZ Heisenberg自旋链为例,利用Temperley-Lieb代数结构,深入分析q^p=±1时SL_q(2)量子代数的有限维表示,讨论了可约而不可分解表示(Ⅰ型表示)出现的条件及其性质,并采用取极限办法得到新的状态,从而得到对应确定能量状态的完全集合.     

不同磁场环境下Heisenberg XXZ自旋链中的热量子失协

本文研究了不同磁场环境下一维Heisenberg XXZ自旋链中两量子比特的热量子失协特性. 在四种不同的磁场环境下: 1) B₁=B₂=0 (无磁场); 2) B₁≠0, B₂=0 (磁场只作用于其中一个量子比特); 3) B₁=B₂ (均匀磁场); 4) B₁=-B₂ (非均匀磁场), 对分别作用在每个量子比特上的磁场B₁和B₂对其量子关联的影响作了详细的讨论, 且数值计算和比较了其量子失协和量子纠缠的异同. 结果显示: 在有限温度下, 量子失协相比于量子纠缠更普遍, 且非均匀磁场相比于均匀磁场对量子失协和量子纠缠更有用, 更有利于量子通讯和量子信息处理过程. 关键词： 量子关联 纠缠 量子失协     

两粒子XXZ海森堡系统中的量子纠缠动力学

研究了考虑内禀退相干情况下,两粒子XXZ海森堡系统中量子纠缠在各种外界因素影响下的动态演化规律。研究发现无论系统的初态是否处于最大纠缠态,内禀退相干都会对系统纠缠的含时演化有明显的抑制作用。如果系统的初态为纠缠态|ψ(0)〉=c|01〉+d|10〉,系统的纠缠与各向异性参数和外加磁场没有关系,却受到Dzyaloshinskii-Moriya(DM)相互作用程度和内禀退相干因素的明显影响;如果系统的初态为纠缠态|ψ(0)〉=a|00〉+b|11〉,系统的纠缠与DM相互作用大小和各向异性参数无关,纠缠程度不仅要受到内禀退相干因素的影响,还会被外加磁场进一步削弱。     

含有晶体场作用的混合XXZ自旋模型纠缠特性

通过引入Negativity概念,研究了含有晶体场相互作用的混合XXZ自旋模型的纠缠特性.讨论了温度T、晶体场相互作用d和各向异性参数Δ对纠缠度的影响.结果表明,温度T影响系统纠缠度的最大值N(ρ)max,温度越低N(ρ)max越大;晶体场相互作用和各向异性作用降低了系统纠缠度的最大值N(ρ)max,但是却提高了系统出现纠缠时的临界温度和纠缠度最大时的温度Tmax.     

具有Dzyaloshinskii-Moriya相互作用的四量子比特海森堡XXZ模型中的热纠缠

研究四量子比特海森堡XXZ模型中配对纠缠的性质,在该系统中引入了Dzyaloshinskii-Moriya (DM)相互作用,通过求解配对纠缠度来讨论最近邻和次近邻两量子比特之间的热纠缠性质. 研究结果表明:对于铁磁和反铁磁两种情形而言,次近邻两量子比特之间不存在配对热纠缠;但在最近邻两量子比特情况时,DM相互作用和各向异性参数Δ对配对热纠缠和临界温度T_c都具有重要的影响,且随着温度T的增加,配对纠缠度逐渐减小直至消失. 因此,选择和调整合适的DM相互作用和各向异性参数,可以有效地控制和提高配对热纠缠. 关键词： 配对纠缠 XXZ模型')" href="#">XXZ模型 Dzyaloshinskii-Moriya相互作用     

Effects of Anisotropy on Pair-wise Entanglement of a Four-Qubit Heisenberg XXZ Chain

The pair-wise thermal entanglement in a four-qubit Heisenberg XXZ chain ＆ investigated to study the role of anisotropy when an external magnetic field is included. It is found that pair-wise entanglement is absent between nearest- and next-nearest neighbouring qubits with anisotropic parameter △≤-1. For two nearest-neighbouring qubits, increasing the parameter can not only induce the entanglement, but also extend the entanglement region in terms of magnetic field B and temperature T. For two next-nearest-neighbouring qubits, increasing anisotropic parameter can shift the location of the entanglement and control the extent of the entanglement in terms of magnetic field at a finite temperature.     

固态格点自旋体系中的量子关联

量子态的关联特性是量子通信和量子计算的重要资源。文章首先回顾了经典关联、量子关联的概念以及常用的度量方法,随后简要介绍了作者最近对固态格点自旋体系中量子关联的研究成果。最后对未来量子关联的研究指出了几个方向。     

固态格点自旋体系中的量子关联*

量子态的关联特性是量子通信和量子计算的重要资源。文章首先回顾了经典关联、量子关联的概念以及常用的度量方法,随后简要介绍了作者最近对固态格点自旋体系中量子关联的研究成果。最后对未来量子关联的研究指出了几个方向。     

用三比特海森堡XXZ模型实现量子稠密编码

本文主要研究利用各向异性三比特海森堡XXZ模型实现量子稠密编码的理论可行性问题并讨论在有限温度下,xy平面上的耦合常数J,z方向的耦合常数Jz,以及外加磁场对稠密编码信道容量的影响。结果表明,耦合常数J对量子稠密编码信道容量起到积极作用。尽管耦合常数Jz,外加磁场B及温度T均抑制量子稠密编码的信道容量,但是在一定范围内J总可以抵消这些参数的消极作用并提高信道容量。     

Thermal Quantum Discord in Anisotropic Heisenberg XXZ Model withDzyaloshinskii-Moriya Interaction

The thermal quantum discord (QD) is studied in a two-qubit Heisenberg XXZ system with Dzyaloshinskii-Moriya (DM) interaction. We compare the thermal QD with thermal entanglement in this system and find remarkable differences between them. For instance, we show situations where QD decreases asymptotically to zero with temperature T while entanglement decreases to zero at the point of critical temperature, situations where QD decreases with certain tunable parameters such as D_z and D_x when entanglement increases. We find that the characteristic of QD is exotic in this system and this possibly offers a potential solution to enhance entanglement of a system. We also show that tunable parameter D_x is more efficient than parameter D_z in most regions for controlling the QD.     

Thermal Quantum Discord in Anisotropic Heisenberg XXZ Model with Dzyaloshinskii-Moriya Interaction

The thermal quantum discord （QD） is studied in a two-qubit Heisenberg XXZ system with DzyaloshinskiiMoriya （DM） interaction. We compare the thermal QD with thermal entanglement in this system and find remarkable differences between them. For instance, we show situations where QD decreases asymptotically to zero with temperature T while entanglement decreases to zero at the point of critical temperature, situations where QD decreases with certain tunable parameters such as Dx and Dx when entanglement increases. We find that the characteristic of QD is exotic in this system and this possibly offers a potential solution to enhance entanglement of a system. We also show that tunable parameter Dx is more efficient than parameter Dz in most regions for controlling the QD.     

Thermal Entanglement of a Two-Qubit XXZ Heisenberg Chain with Dzialoshinski-Moriya Interaction

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 entanglement. When D is large enough, the entanglement can exist for larger temperatures and strong magnetic field.     

Thermal Entanglement of a Two-Qubit XXZ Heisenberg Chain with Dzialoshinski-Moriya Interaction

The effect of Dzialoshinski-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 entanglement. When D is large enough, the entanglement can exist for larger temperatures and strong magnetic field.     

Quantum Teleportation Through a Two-Qubit Heisenberg XXZ Chain

We consider a two-qubit Heisenberg XXZ chain as a resource for quantum teleportation via the standard teleportation protocol To. The effects of anisotropic on teleportation fidelity and entanglement are studied in detail. We find anisotropic not only improves the criticM temperature Tc and criticM magnetic field Bc, beyond which quantum teleportation is inferior to classicM communication protocol, but also enhances the fidelity for fixed magnetic field B and temperature T. For entanglement teleportation, the effects of magnetic field on average fidelity and output entanglement are studied.     

Magnetic Properties of XXZ Heisenberg Antiferromagnetic and Ferrimagnetic Nanotubes

The spin-1/2 antiferromagnetic and spin-(1/2, 1) ferrimagnetic single-walled nanotubes are described by XXZ Heisenberg model. The sublattice magnetization and the critical temperature of the system are calculated by using the double-time spin Green's function method. At zero temperature, with the increase of the exchange interaction in the circumferential direction, a maximum value appears in the sublattice magnetization curves of antiferromagnetic and ferrimagnetic systems. As the diameter of the tube increases, the spin quantum fluctuations and thermal fluctuations are suppressed. In addition, the spin quantum fluctuation of the spin-1/2 antiferromagnetic system is greater than that of the spin-(1/2, 1) ferrimagnetic system. The critical temperature of the system increases firstly and then tends to a constant with the increase of the diameter of tube, and it decreases to zero as the exchange anisotropy of the system disappears.     

Teleportation via thermally entangled states of a two-qubit Heisenberg XXZ chain

We investigate quantum teleportation as a tool to study the thermally entangled state of a twoqubit Heisenberg XXZ chain.Our work is mainly to investigate the characteristics of a Heisenberg XXZ chain and get some analytical results of the fully entangled fraction.We also consider the entanglement teleportation via a two-qubit Heisenberg XXZ chain.     

Teleportation via thermally entangled states of a two-qubit Heisenberg XXZ chain

We investigate quantum teleportation as a tool to study the thermally entangled state of a two-qubit Heisenberg XXZ chain. Our work is mainly to investigate the characteristics of a Heisenberg XXZ chain and get some analytical results of the fully entangled fraction. We also consider the entanglement teleportation via a two-qubit Heisenberg XXZ chain.     

Thermodynamics and Correlation Functions of XXZ Chain

Recently new integral equation describing the thermodynamics of XXZ chain was proposed. Using the integral equation we have succeded in obtaining the high temperature expansion of the specific heat and the magnetic susceptibility. For the ground state of spin one-half XXX chain only the first and the second neighbor correlations were known. Very recently we succeeded to calculate the third neighbor correlation by the direct calculation of integral formula. It is iexpressed by logarithm of 2 and Riemannian Zeta function with odd-integer arguments. We discuss the possibility of the fourth neighbor correlation and extention to XXZ chain.