外磁场下具有Dzyaloshinski-Moriya作用的海森堡链中的热纠缠（英文）
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摘要
详细分析了DM相互作用常数D、温度T、均匀磁场B、非均匀磁场b、自旋耦合常数J和各向异性参数△对热纠缠度C的影响.结果表明:虽然T和B升高使纠缠度C变小,但D增大使C变大,而且它会使磁场阈值|B_t|变大。当B>|B_t|和B<|B_t|时,6对C的影响不同。对比发现,B和b对于J、△(J△>0)区域纠缠存在的面积变化的影响以及C的影响也不同。另外,当T升高时,B和b存在热纠缠范围的变化规律也不尽相同。因此,即使在强外磁场及高温环境等恶劣条件下,也可以通过调节B、b、J、D、T和△来控制热纠缠.这些结论在固态系统量子信息研究中有一定应用价值。
Influences of the Dzyaloshinskii-Moriya(DM) coupling constant D, temperature T, uniform external magnetic field B, nonuniform magnetic field b, real coupling constant J and anisotropic parameter△ on the thermal entanglement concurrence C are investigated in detail. Results show that both the increasing of T and |B| decrease C, but the increasing of D develops C, and D can also heighten the magnetic field threshold |B_t|. When B is bigger or less than |B_t|, b has different influence on C. By comparison, it is found that the B and b have different effects on the area about J and △(JA > 0) where exists thermal entanglement as well as on C. What's more, as T increases, the variation rule of the range of B in which exists thermal entanglement is different from b. As a result, the thermal entanglement can be controlled by adjusting the values of B, b, J, D, T and △ in various terrible environments, such as strong external magnetic field, or high temperature environment, which is useful in the research of quantum information in solid systems.
Influences of the Dzyaloshinskii-Moriya(DM) coupling constant D, temperature T, uniform external magnetic field B, nonuniform magnetic field b, real coupling constant J and anisotropic parameter△ on the thermal entanglement concurrence C are investigated in detail. Results show that both the increasing of T and |B| decrease C, but the increasing of D develops C, and D can also heighten the magnetic field threshold |B_t|. When B is bigger or less than |B_t|, b has different influence on C. By comparison, it is found that the B and b have different effects on the area about J and △(JA > 0) where exists thermal entanglement as well as on C. What's more, as T increases, the variation rule of the range of B in which exists thermal entanglement is different from b. As a result, the thermal entanglement can be controlled by adjusting the values of B, b, J, D, T and △ in various terrible environments, such as strong external magnetic field, or high temperature environment, which is useful in the research of quantum information in solid systems.
引文
[1]Wu Y,Payne M G,Hagley E W,et al.Preparation of multiparty entangled states using pairwise perfectly efficient single-probe photon four-wave mixing[J].Physical Review A,2004,69:063803.
[2]Bennett C H,Wiesner S J.Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states[J].Physical Review Letters,1992,69:2881-2884.
[3]Bennett C H,Divincenzo D P.Quantum information and computation[J].Nature,2000,404:247-255.
[4]Murao M,Jonathan D,Plenio M B,et al.Quantum telecloning and multiparticle entanglement[J].Physical Review A,1999,59:156-161.
[5]Zhang G F.Thermal entanglement and teleportation in a two-qubit Heisenberg chain with Dzyaloshinski-Moriya anisotropic antisymmetric interaction[J].Physical Review A,2007,75(3):034304.
[6]Qin M,Li Y B,Bai Z,et al.Effects of different Dzyaloshinskii-Moriya interaction and magnetic field on entanglement and fidelity intrinsic decoherence in a spin system[J].Acta Physica Sinica(物理学报),2014,63(11):110302(in Chinese).
[7]Qin M,Li Y B,Bai Z,et al.Thermal entanglement in two-qutrit Heisenberg XX chain with different Dzyaloshinskii-Moriya interaction and nonuniform magnetic field[J].Communications in Theoretical Physics,2012,58(5):653-656.
[8]Li S F.Thermal entanglement and teleportation in Heisenberg model with Dzyaloshinski-Moriya anisotropic antisymmetric interaction in a homogeneous magnetic field[J].Journal of Quanzhou Normal University(泉州师范学院学报),2012,30:1-6(in Chinese).
[9]Seyit D H,Ekrem A.Thermal entanglement in the mixed three-spin XXZ Heisenberg model on a triangular cell[J].Chinese Physics B,2014,23(5):050305.
[10]Xu L,Xia Y J.Quantum correlations and thermal entanglement in a two-qubit Heisenberg XXZ model with external magnetic fields[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(2):185-191(in Chinese).
[11]Hu J,Fang J X,Qian L,et al.Thermal entanglement of Ising model with Dzyaloshinskii-Moriya interaction in an inhomogeneous magnetic field[J].Chinese Journal of Quantum Electronics(量子电子学报),2011,28(3):329-334.
[12]Qiao J,Zhou B.Thermal entanglement of the Ising-Heisenberg diamond chain with Dzyaloshinskii-Moriya interaction[J].Chinese Physics B,2015,24(11):110306.
[13]Dzyaloshinski I.A thermodynamic superexchange interaction[J].Journal of Physics and Chemistry of Solids,1958,4(4):241-245.
[14]Moriya T.New mechanism of anisotropic superexchange interaction[J].Physical Review Letters,1960,4(5):228-230.
[15]Nielsen M A.Quantum information theory[J].arXiv:quant-ph,2000.
[16]Wootters W K.Entanglement of formation of an arbitrary state of two qubits[J].Physical Review Letters,80(10):2245-2248.
[2]Bennett C H,Wiesner S J.Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states[J].Physical Review Letters,1992,69:2881-2884.
[3]Bennett C H,Divincenzo D P.Quantum information and computation[J].Nature,2000,404:247-255.
[4]Murao M,Jonathan D,Plenio M B,et al.Quantum telecloning and multiparticle entanglement[J].Physical Review A,1999,59:156-161.
[5]Zhang G F.Thermal entanglement and teleportation in a two-qubit Heisenberg chain with Dzyaloshinski-Moriya anisotropic antisymmetric interaction[J].Physical Review A,2007,75(3):034304.
[6]Qin M,Li Y B,Bai Z,et al.Effects of different Dzyaloshinskii-Moriya interaction and magnetic field on entanglement and fidelity intrinsic decoherence in a spin system[J].Acta Physica Sinica(物理学报),2014,63(11):110302(in Chinese).
[7]Qin M,Li Y B,Bai Z,et al.Thermal entanglement in two-qutrit Heisenberg XX chain with different Dzyaloshinskii-Moriya interaction and nonuniform magnetic field[J].Communications in Theoretical Physics,2012,58(5):653-656.
[8]Li S F.Thermal entanglement and teleportation in Heisenberg model with Dzyaloshinski-Moriya anisotropic antisymmetric interaction in a homogeneous magnetic field[J].Journal of Quanzhou Normal University(泉州师范学院学报),2012,30:1-6(in Chinese).
[9]Seyit D H,Ekrem A.Thermal entanglement in the mixed three-spin XXZ Heisenberg model on a triangular cell[J].Chinese Physics B,2014,23(5):050305.
[10]Xu L,Xia Y J.Quantum correlations and thermal entanglement in a two-qubit Heisenberg XXZ model with external magnetic fields[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(2):185-191(in Chinese).
[11]Hu J,Fang J X,Qian L,et al.Thermal entanglement of Ising model with Dzyaloshinskii-Moriya interaction in an inhomogeneous magnetic field[J].Chinese Journal of Quantum Electronics(量子电子学报),2011,28(3):329-334.
[12]Qiao J,Zhou B.Thermal entanglement of the Ising-Heisenberg diamond chain with Dzyaloshinskii-Moriya interaction[J].Chinese Physics B,2015,24(11):110306.
[13]Dzyaloshinski I.A thermodynamic superexchange interaction[J].Journal of Physics and Chemistry of Solids,1958,4(4):241-245.
[14]Moriya T.New mechanism of anisotropic superexchange interaction[J].Physical Review Letters,1960,4(5):228-230.
[15]Nielsen M A.Quantum information theory[J].arXiv:quant-ph,2000.
[16]Wootters W K.Entanglement of formation of an arbitrary state of two qubits[J].Physical Review Letters,80(10):2245-2248.