Impurity Entanglement in Spin-1 Heisenberg XX Chain

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

Chinese Physics C> 2007, Vol. 31> Issue(11) : 1082-1085

Impurity Entanglement in Spin-1 Heisenberg XX Chain

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

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Abstract：
We investigate the impurity entanglement of the ground states and the thermal states at finite temperature for a three-qutrit system of the Heisenberg XX model in the presence of a uniform magnetic field. As a measure of the entanglement, negativity of the state is analyzed in detail as a function of the impurity parameter, temperature and magnetic fields. Magnetic fields are mainly to reduce entanglement. Impurity parameter plays an important role in enhancing the entanglement and improving the critical temperature. We can use them to control entanglement.

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[1]

. Mattle K et al. Phys. Rev. Lett., 1996, 76: 46562. Schumacher B. Phys. Rev., 1995, A51: 27383. Kim Y H, Kulik S P, Shih Y. Phys. Rev. Lett., 2001, 86: 13704. Ekert A K. Phys. Rev. Lett., 1991, 67: 6615. Deutsch D, Ekert A, Jozsa R et al. Phys. Rev. Lett., 1996, 77: 28186. Nielsen M A. American: University of New Mexico, 19987. Arnesen M C, Bose S, Vedral V M. Phys. Rev. Lett., 2001, 87: 0179018. WANG X G. Phys. Rev., 2002, A66: 0343029. Connor K M O, Wooters W K. Phys. Rev., 2001, A63: 05230210. Asoudeh M, Karimipour V. Phys. Rev., 2005, A71: 0223011. XI Xiao-Qiang, CHEN Wen-Xue, LIU Qi et al. Acta Phys. Sin., 2006, 55: 3026 (in Chinese)(惠小强, 陈文学, 刘起等. 物理学报, 2006, 55: 3026)12. HU Ming-Liang, TIAN Dong-Ping. HEP NP, 2006,30(11): 1132-1136(in Chinese)(胡明亮, 田东平.高能物理与核物理, 2006, 30(11): 1132-1136)13. William K W. Phys. Rev. Lett., 1998, 80: 224514. Vidal G, Werner R F. Phys. Rev., 2002, A65: 03231415. ZHOU L, Y X X, SONG H S et al. quant-ph/031016916. WANG X, LI H B, SUN Z et al. quant-ph/050103217. Canosa N, Rossignoli R. Phys. Rev., 2006, A73: 02234718. Andreas L, Mila F, Karlo P. Phys. Rev. Lett., 2006, 97: 08720519. HAO X, ZHU S Q. Phys. Rev., 2005, A72: 04230620. TAO Y J, HU M L, TIAN D P et al. Global Bipartite Entanglement in the Impurity Three-Qubit Heisenberg XXX Spin Chain. HEP NP, 2007, 31(10): 990(in Chinese)(陶应娟, 胡明亮, 田东平等. 含杂质三最子位Heisenberg XXX链的全局两体纠缠, 高能物理与核物理, 2007, 31(10): 990)21. TIAN Dong-Ping, HU Ming-Liang. HEP NP, 2007, 3(5):509-512(in Chinese)(田东平, 胡明亮. 高能物理与核物理, 2007, 3(5): 509-512)22. Lieb E, Schultz T, Mattis D. Ann. Phys. NY, 1961, 16: 40723. Privman V, Vagner I D, Kventsel G. quant-ph/970701724. ZHENG S B, GUO G C. Phys. Rev. Lett., 2000, 85: 2392

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TIAN Dong-Ping, QIN Meng, TAO Ying-Juan and HU Ming-Liang. Impurity Entanglement in Spin-1 Heisenberg XX Chain[J]. Chinese Physics C, 2007, 31(11): 1082-1085.

TIAN Dong-Ping, QIN Meng, TAO Ying-Juan and HU Ming-Liang. Impurity Entanglement in Spin-1 Heisenberg XX Chain[J]. Chinese Physics C, 2007, 31(11): 1082-1085. shu

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Received: 2006-12-22
Revised: 2007-05-19

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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

Impurity Entanglement in Spin-1 Heisenberg XX Chain

Corresponding author: QIN Meng,

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

Received Date: 2006-12-22

Accepted Date: 2007-05-19

Available Online: 2007-11-05

Abstract: We investigate the impurity entanglement of the ground states and the thermal states at finite temperature for a three-qutrit system of the Heisenberg XX model in the presence of a uniform magnetic field. As a measure of the entanglement, negativity of the state is analyzed in detail as a function of the impurity parameter, temperature and magnetic fields. Magnetic fields are mainly to reduce entanglement. Impurity parameter plays an important role in enhancing the entanglement and improving the critical temperature. We can use them to control entanglement.

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Impurity Entanglement in Spin-1 Heisenberg XX Chain

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