Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity

TAO Ying-Juan; HU Ming-Liang; TIAN Dong-Ping; QIN Meng

Chinese Physics C> 2007, Vol. 31> Issue(10) : 990-994

Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity

School of Science, Xi'an Jiaotong University, Xi'an 710049, China2 Xi'an Institute of Post and Telecommunication, Xi'an 710061, China

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Abstract：
We study the global bipartite entanglement of the three-qubit Heisenberg XXX spin chain with impurity. Through calculating the negativities N_1-23 and N_12-3, we show that the critical temperature T_c above which the entanglement vanishes increases with the increase of the impurity parameter J₁. For a given T, the corresponding critical impurity parameter J_1c below which the entanglement vanishes increases with the increase of the magnetic field B, and by adjusting J₁ and B one can control the values of N_1-23 and N_12-3. The maximum value of N_12-3 decreases from 0.5 to 0.3727 as the temperature rises, but the one of N_1-23 keeps the constant value of about 0.4714.

References

[1]

. Verstraete F, Martin-Delgado M A, Cirac J I. Phys. Rev.Lett., 2004, 92: 0872012. Vidal G, Latorre J I, Rico E et al. Phys. Rev. Lett., 2003,90: 2279023. Bennett C H, Brassard G, Crepeau C et al. Phys. Rev.Lett., 1993, 70: 1895-18994. YE Y, LIU T Q et al. J. Phys., 2005, A38: 3235-32435. Ekert A K. Phys. Rev. Lett., 1991, 67(6): 661-6636. Bennett C H. Phys. Rev. Lett., 1992, 69: 2881-28847. Dagmar Bru, DiVincenzo D P, Ekert A et al. Phys. Rev.,1998, A57: 2368-23788. Loss D, DiVincenzo D P. Phys. Rev., 1998, A57: 120-1269. Nielsen M A. 1998 Ph.D. Thesis, University of New Mexico10. WANG X G. Phys. Rev., 2002, A66: 03430211. WANG X G. Phys. Rev., 2001, A64: 01231312. WANG X G. Phys. Lett., 2001, A281: 10113. WANG X G, FU H, Solomon A I. J. Phys., 2001, A34:1130714. HU M L, TIAN D P. HEP NP, 2006, 30(11): 1132-113615. Canosa N, Rossignoli R. Phys. Rev., 2006, A73: 02234616. Zyczkowski K, Horodecki P, Samperm A. Phys. Rev., 1998,A58: 883-892

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[20]	CHEN YONG-SHOU , ZHENG YU-MING , LU ZHAO-QI . THE SUB-BODY CORRELATION IN THE CHAIN-LIKE MOLECULAR STRUCTURE STATE. Chinese Physics C, 1979, 3(4): 494-500.

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TAO Ying-Juan, HU Ming-Liang, TIAN Dong-Ping and QIN Meng. Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity[J]. Chinese Physics C, 2007, 31(10): 990-994.

TAO Ying-Juan, HU Ming-Liang, TIAN Dong-Ping and QIN Meng. Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity[J]. Chinese Physics C, 2007, 31(10): 990-994. shu

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Received: 2006-11-14
Revised: 2007-01-26

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity

Corresponding author: TAO Ying-Juan,

School of Science, Xi'an Jiaotong University, Xi'an 710049, China2 Xi'an Institute of Post and Telecommunication, Xi'an 710061, China

Received Date: 2006-11-14

Accepted Date: 2007-01-26

Available Online: 2007-10-05

Abstract: We study the global bipartite entanglement of the three-qubit Heisenberg XXX spin chain with impurity. Through calculating the negativities N_1-23 and N_12-3, we show that the critical temperature T_c above which the entanglement vanishes increases with the increase of the impurity parameter J₁. For a given T, the corresponding critical impurity parameter J_1c below which the entanglement vanishes increases with the increase of the magnetic field B, and by adjusting J₁ and B one can control the values of N_1-23 and N_12-3. The maximum value of N_12-3 decreases from 0.5 to 0.3727 as the temperature rises, but the one of N_1-23 keeps the constant value of about 0.4714.

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Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity

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