不同方向外磁场下海森堡自旋链的热纠缠

研究了两量子比特的海森堡XXX自旋链分别处于x方向和y方向均匀外磁场时系统的纠缠特性,并用负度N来度量。得到纠缠度N的解析表达式,并在此基础上进行数值计算。仔细讨论了磁场B、温度T和自旋耦合系数J对纠缠度N的影响。结果表明：纠缠度N会随着磁场|B|和温度T的增大而减小,但会随着自旋耦合系数J的增大而增大。另外,增大的J还会使临界磁场|Bc|和临界温度Tth变大。所以,我们可以通过调节B、T和J来控制热纠缠,这对固态系统中通过构建和选择参数调整系统的纠缠度具有一定的作用和意义。研究还发现,加在x方向均匀外磁场和加在y方向均匀外磁场对两量子比特的海森堡XXX自旋链的作用效果是一样的。     

时变外磁场下海森堡自旋链的热纠缠

研究了时变外磁场下两量子比特海森堡XXZ自旋链的热力学纠缠,得到两个角频率ω_1、ω_2的余弦时变外磁场分别加在两个量子比特上的纠缠度C的解析表达式,并在此基础上进行数值计算.仔细讨论了时变外磁场的角频率ω_1、ω_2对纠缠度C的影响,同时,分析了在时变外磁场的影响下,纠缠度C随时间演化的情况.结果表明:选取一定时刻,当ω_1和ω_2取值为不同的组合时,纠缠度C可以取不同的值.当取值恰当时,系统可以维持在较大的纠缠度上.另外,当ω_1=ω_2时,C虽然会随时间发生周期性变化,但始终能保持较大的值,这对系统需要较大纠缠是有意义的.而当ω_1和ω_2为其它的倍数关系时,根据C的变化情况可以用作快速反应开关.这些结论在固态系统中进行量子信息研究也将发挥很大的作用.     

均匀磁场对海森堡XX链中两体热纠缠的影响

通过计算比特数n不大于6海森堡XX链中的两体纠缠,发现只有当n为奇数时,最近邻纠缠在磁场为零时才出现下凹现象.当n为4或6时,非最近邻纠缠在磁场两边对称;当n为5时,非最近邻纠缠在磁场两边则不对称.     

三比特铁磁质海森堡自旋链模型的热纠缠

本文对带DM相互作用的铁磁质海森堡XXZ自旋链模型在磁场中的热纠缠进行了详细地计算和分析. 通过画图发现铁磁质模型的热纠缠远大于反铁磁质模型的热纠缠. 同时发现外磁场 ,耦合系数 和DM相互作用 都可以有效地控制纠缠和临界温度 . 该结论为实验上利用海森堡XXZ模型的纠缠特性进行隐形传态提供了很好的理论依据.     

三比特铁磁质海森堡自旋链模型的热纠缠

本文对带Dzyaloshinskii-Moriya(DM)相互作用的铁磁质海森堡XXZ自旋链模型在磁场中的热纠缠进行了详细地计算和分析.通过画图发现铁磁质模型的热纠缠远大于反铁磁质模型的热纠缠.同时发现外磁场B,耦合系数J_Z和DM相互作用D都可以有效地控制纠缠和临界温度T_C.该结论为实验上利用海森堡XXZ模型的纠缠特性进行隐形传态提供了很好的理论依据.     

交变磁场下海森堡链中首尾粒子的纠缠动力学

本文研究了各向异性自旋12海森堡链中首尾粒子的纠缠动力学,其中外磁场和最近邻耦合是周期性调制的。在特定的外磁场调制频率和外磁场振幅下,将会出现纠缠共振。在某些特定频率下,最大纠缠可以在相当大的振幅范围内保持最大值。因此,可以通过外界磁场来调控纠缠。     

非均匀磁场中的海森堡XY模型热纠缠信道的量子隐形传送

在量子通讯的实验中,由于外界环境的影响,我们很难得到最大的纠缠纯态.量子信道可能以混合纠缠态的形式出现.而固体材料中的热平衡态就是一种重要的混合纠缠态.本文利用了两个独立的外加不均匀磁场的一维海森堡链的热纠缠态作为量子信道,实现了两粒子纠缠态的远程传送,分析了外界温度和磁场对纠缠和传输保真度的影响.为了突出传输效果,我们对平均保真度做了研究,结果发现当温度很低,外加反方向的磁场B1和B2时,平均保真度大于经典通道的传输极限值2/3.     

各向异性非均匀海森堡XY链中的量子关联

研究了各向异性非均匀海森堡周期性XY链中的量子失协(QD)和形成纠缠(EOF)。量子失协一般大于形成纠缠。两者之间的差距随着温度的升高或外磁场的增大而减小。调节各向异性系数的大小,可以发现,有些情况下形成纠缠已经消失,而量子失协仍然存在。在大部分参数区域内,量子失协总是大于形成纠缠。     

海森堡XYZ自旋链系统的热纠缠与局域量子不确定性研究

研究了热平衡温度,自旋交换相互作用,Dzyaloshinskii-Moriya(DM)相互作用及外加非一致性磁场对两比特海森堡XYZ自旋链量子系统的热纠缠与局域量子不确定度的影响,对比分析了并发度量子纠缠与局域量子不确定度描述自旋链系统量子关联的差别.结果表明自旋链系统的量子纠缠在热平衡温度,DM相互作用及外加磁场的非一致性参数的变化情况下均会出现纠缠突然死亡的再生现象,而自旋链系统的局域量子不确定度随着这些参数呈连续变化现象.并且,自旋交换相互作用,DM相互作用及外加横向磁场作用强度较小时,他们的变化对自旋链系统的量子纠缠与局域量子不确定度的影响有着明显的差别.     

Thermal Entanglement of a Three-Qubit Heisenberg Chain with a Nonuniform Magnetic Field

The thermal entanglement of a three-qubit Heisenberg chain under a nonuniform magnetic field is studied. It is very interesting to note that the next nearest neighbor entanglement （NNNE） could be larger than the nearest neighbor entanglement （NNE）. We analyze the ground state entanglement, and give the conditions that NNNE is larger than NNE near zero temperature. Our results also show that the nonuniform field could induce the entanglement and improve the threshold temperature at certain parameter region.     

Entanglement Teleportation Via a Two-qubit Heisenberg Chain under a Nonuniform Magnetic Field

By introducing the nonuniform magnetic field, we investigate the entanglement teleportation via two-qubit Heisenberg chain. We show that for ferromagnetic chain, the opposite direction magnetic field on the two-qubit chain can excite the teleported entanglement C _out, while the uniform magnetic field can not do it. The effect of the uniform magnetic field B and the nonuniform magnetic field b on the threshold temperature T _c is also plotted. Our study on the average fidelity of this quantum channel system shows that the magnetic field in opposite direction can result in the ideal average fidelity no matter whether the chain is ferromagnetic or antiferromagnetic.     

Entanglement and Teleportation via Thermally Entangled State of Anisotropic Heisenberg XYZ Chain with Inhomogeneous External Magnetic Field

In this paper we study the entanglement in a two-qubit spin in the XYZ model, and teleport a two-qubit entangled state using this spin chain in the condition of the thermal equilibrium as a quantum channel. We investigate the effects of the interaction of z-component Jz, the inhomogeneous magnetic field b, the anisotropy γ and the temperature T on the entanglement and fidelity. In order to characterize the quality of the teleported state, we research the average fidelity Fα. High average fidelity of the teleportation is obtained when the temperature is very low. Under some condition, we also find that when innomogeneity increases to a certain value, the average fidelity can exhibit a larger revival than that for less values of b.     

Entanglement in Anisotropic Heisenberg XYZ Chain with Inhomogeneous Magnetic Field

The thermal entanglement of a two-qubit anisotropic Heisenberg XYZ chain under an inhomogeneous magnetic field b is studied. It is shown that when inhomogeneity is increased to a certain value, the entanglement can exhibit a larger revival than that of less values of b. The property is both true for zero temperature and a finite temperature. The results also show that the entanglement and threshold temperature can be increased by increasing inhomogeneous external magnetic field.     

Entanglement in Anisotropic Heisenberg XYZ Chain with Inhomogeneous Magnetic Field

The thermal entanglement of a two-qubit anisotropic Heisenberg XYZ chain under an inhomogeneous magnetic field b is studied. It is shown that when inhomogeneity is increased to a certain value, the entanglement can exhibit a larger revival than that of less values of b. The property is both true for zero temperature and a finite temperature. The results also show that the entanglement and threshold temperature can be increased by increasing inhomogeneous external magnetic field.