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In this paper, we study the property of thermal entanglement in four-qubit Heisenberg model, where Dzyaloshinskii-Moriya (DM) interaction is considered, and investigate the pairwise concurrences of two nearest-neighbor qubits and two next-neighbor qubits to study this entanglement property. The result shows that for the two-next-neighbor-qubit case, there exists pairwise concurrence neigher in ferromagnetic model nor in antiferromagnetic model; but for the two-nearest-neighbor-qubits case, the DM interaction and the parameter of the anisotropy exchange coupling have a significant influence on the pairwise entanglement and critical temperature Tc. Moreover, the pairwise concurrence will decrease with the increase of temperature. When the temperature execeds its critical value, the pairwise concurrence disappears. Therefore, the pairwise entanglement can be controlled and enhanced by choosing the appropriate parameters of the DM interaction and the anisotropy exchange coupling.
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Keywords:
- pairwise entanglement /
- XXZ model /
- Dzyaloshinskii-Moriya interaction
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[40] Wang Y H, Xia Y J 2009 Acta Phys. Sin. 58 7479 (in Chinese)[王彦辉、夏云杰 2009 物理学报 58 7479]
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[43] [44] Shu L, Chen Y G, Chen H 2002 Acta Phys. Sin. 51 902 (in Chinese)[殳 蕾、陈宇光、陈 鸿 2002 物理学报 51 902]
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[48] Wootters W K 1998 Phys. Rev. Lett. 80 2245
[49] [50] Coffman V, Kundu J, Wootters W K 2000 Phys. Rev. A 61 052306
[51] -
[1] Boto A N, Kok P, Abrams D S, Braunstein S L, Williams C P, Dowling J P 2000 Phys. Rev. Lett. 85 2733
[2] [3] Preskill J 2000 Mod. Opt. 47 127
[4] [5] Arnesen M C, Bose S, Vedral V 2001 Phys. Rev. Lett. 87 017901
[6] [7] Wang X G 2001 Phys. Lett. A 281 101
[8] Wang X G 2002 Phys. Rev. A 66 034302
[9] [10] [11] Kamta G L, Starace A F 2002 Phys. Rev. Lett. 88 107901
[12] [13] Sun Y, Chen Y G, Chen H 2003 Phys. Rev. A 68 044301
[14] [15] Zhou L, Song H S, Guo Y Q, Li C 2003 Phys. Rev. A 68 024301
[16] [17] Cao M, Zhu S Q 2005 Phys. Rev. A 71 034311
[18] Asoudeh M, Karimipour V 2005 Phys. Rev. A 71 022308
[19] [20] [21] Zhang G F, Li S S 2005 Phys. Rev. A 72 034302
[22] [23] Cao M, Zhu S Q 2006 Chin. Phys. Lett. 23 2888
[24] [25] Wu K D, Zhou B, Cao W Q 2007 Phys. Lett. A 362 381
[26] Zhang G F 2007 Phys. Rev. A 75 034304
[27] [28] [29] Li D C, Wang X P, Cao Z L 2008 J. Phys.: Condens. Matter 20 325229
[30] Li D C, Cao Z L 2008 Eur. Phys. J. D 50 207
[31] [32] Ma X S, Zhang J Y, Cong H S, Wang A M 2008 Sci. China G 51 1987
[33] [34] Abliz A, Cai J T, Zhang G F, Jin G S 2009 J. Phys. B 42 215503
[35] [36] [37] Ren J Z, Shao X Q, Zhang S, Yeon K H 2010 Chin. Phys. B 19 100307
[38] [39] Zhang G F, Jia X J, Yan Q W, Liang J Q 2003 Acta Phys. Sin. 52 2393 (in Chinese)[张国锋、贾新娟、严启伟、梁九卿 2003 物理学报 52 2393]
[40] Wang Y H, Xia Y J 2009 Acta Phys. Sin. 58 7479 (in Chinese)[王彦辉、夏云杰 2009 物理学报 58 7479]
[41] [42] Shekhtman L, Wohlman E O, Aharony A 1992 Phys. Rev. Lett. 69 836
[43] [44] Shu L, Chen Y G, Chen H 2002 Acta Phys. Sin. 51 902 (in Chinese)[殳 蕾、陈宇光、陈 鸿 2002 物理学报 51 902]
[45] [46] [47] Hill S, Wootters W K 1997 Phys. Rev. Lett. 78 5022
[48] Wootters W K 1998 Phys. Rev. Lett. 80 2245
[49] [50] Coffman V, Kundu J, Wootters W K 2000 Phys. Rev. A 61 052306
[51]
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