Method of constructing energy matrix by exchange of electron spin in one dimension Heisenberg chain

Wen-juan HAN; Xun ZHOU; Tai-rong ZHANG

[1] Coffman V, Kundu J, Wootters W K. Distributed entanglement [J]. Phys. Rev. A, 2000, 61: 052306.

[2] Bennett C H, DiVincenzo D P, Smolin J A, et al. Mixed state entanglement and quantum error correction [J]. Phys. Rev. A, 1996, 54: 3824-3851.

[3] Peres A, Wootters W K. Quantum measurements of finite duration [J]. Phys. Rev. D, 1985, 32: 1968.

[4] Wootters W K, Distance T, Space H. Distance and Hilbert space [J]. Phys. Rev. D, 1981, 23: 357-362.

[5] Gu Shijian, Tian Guanshan. Entanglement and quantum phase transition [J]. Quant-Phys., 2005, 28: 0511243.

[6] Cao Min, Zhu Shiqun. Thermal entanglement between alternate qubits of a four-qubit Heisenberg XX chain in a magneic field [J]. Phys. Rev. A, 2005, 71: 034311.

[7] Rossignoli R, Canosa N. Glogal thermal entanglement in n-qubit systems [J]. Phys. Rev. A, 2005, 72: 012335.

[8] Wang Xiaoguang, Wang Z D. Thermal entanglement in ferrimagnetic chains [J]. Phys. Rev. A, 2006, 73: 064302.

[9] Zhu Yan, Zhu Shiqun, Hao Xiang. Entanglement in an anisotropic spin-1 Heisenberg XX chain [J]. Chinese Physics, 2007, 16(8): 2229-2236.

[11] Pan Feng. Permutation group approach to the one-dimrnsional XXX Heisenberg open spin-1/2 chains [J]. International Journal of Modern Physics, 2004, C15: 247-265.

[13] Pan Feng, Draayer J P. A complementary group technique for a resolution of the outer multiplicity problem of SU(n). 1.Litterwood rule and a complementary group of SU(n) [J]. J. Math. Phys., 1998, 39: 5631-5641.

[14] Gu Shijian, Tian Guanshan, Hai Qinglin. Ground-state entanglement in the XXZ model [J]. Phys. Rev. A, 2005, 71: 052322.

[19] Hao Xiang, Zhu Shiqun. Entanglement in a spin-s antiferromagnetic Heisenberg chain [J]. Phys. Rev. A, 2005, 72: 042306

[20] Bennett C H, et al. Mixed-state entangement and quantum error correction [J]. Phys. Rev. A, 1996, 54: 3824-3851.

[21] Ren Jie, Zhu Shiqun. Density-matrix renormalization-group study of entanglement and entropy in an antiferromagnetic Heisenberg spin chain with domain walls [J]. Phys. Rev. A, 2008, 77: 034303.

[22] Vedral V, et al. Quantum entangement [J]. Phys. Rev. Lett., 1997, 78: 2275-2279.

[23] Wang Xiaoguang. Boundary and impurity effects on the entanglement of Heisenberg chains [J]. Phys. Rev. E, 2004, 69: 066118.