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With considering the intrinsic decoherence, the dynamic behaviors of quantum entanglement in a three-qubit XXZ Heisenberg system with Dzyaloshinskii-Moriya (DM) interaction and anisotropy for different initial states are investigated. The research result shows that the anisotropy parameter does not affect the system entanglement, however, the intrinsic decoherence has obvious inhibitory effect on entanglement. When the initial state of system is an entangled state, we can obtain the stable value of entanglement by adjusting DM interaction parameters appropriately. As the system initial state is a separation state, entanglement oscillates, and the amplitude of oscillation decays with time periodically, and there will appear the death phenomenon after each oscillation, and with time going on, its concurrence will be zero. When the initial state is entangled, by choosing the proper DM parameter, the three pairs of entanglements oscillate with time and eventually approach to a steady value. The increase of accelerates the decay of concurrence. When the initial state is separated, entanglement oscillates, and the amplitude of oscillation decays with time periodically, and there will appear the death phenomenon after each oscillation, with time going on, its concurrence will be zero. Therefore, the proper initial state and DM interaction parameters can control the concurrence effectively under the intrinsic decoherence, thereby obtaining the preferable entanglement resource.
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Keywords:
- quantum entanglement /
- intrinsic decoherence /
- initial state /
- Dzyaloshinskii-Moriya interaction
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[15] Xi Y X, Shan C J, Huang Y X 2014 Journal of Atomic and Molecular Physics 31 769 (in Chinese) [郗玉兴, 单传家, 黄燕霞 2014 原子与分子 31 769]
[16] Xi Y X, Chen W W, Huang Y X 2015 Quantum Inf. Process. 015 0998
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[18] Zanardi P, Rasetti I 1997 Phys. Rev. Lett. 79 3306
[19] Lidar D A, Chuang I L, Whaley K B 1998 Phys. Rev. Lett. 81 2594
[20] Zou Q, Hu X M, Liu J M 2015 Acta Phys. Sin. 64 080302 (in Chinese) [邹琴, 胡小勉, 刘金明 2015 64 080302]
[21] Hamieh S D and Katsnelson M I 2000 Phys. Rev. A 72 032316
[22] Xu X B, Liu J M, Yu P F 2008 Chin. Phys. B 17 456
[23] Guo Z Y, Zhang X H, Xiao R H, et al. 2014 Acta Optica Sin. 34 0727001 (in Chinese) [郭战营, 张新海, 肖瑞华 等 2014 光学学报 34 0727001]
[24] Milburn G J 1991 Phys. Rev. A 44 5401
[25] Moya-Cessa H, Buzck V, Kim M S 1993 Phys. Rev. A 48 3900
[26] Jing B X, Xu B Z 1999 Phys. Rev. A 60 4743
[27] Wootters W K 1998 Phys. Rev. Lett. 80 2245
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[1] Bennett C H, Brassard G, Crepeau C, et al. 1993 Phys. Rev. Lett. 70 1895
[2] Liao J Q, Kuang L M 2006 Chin. Phys. 15 2246
[3] Divincenzo D P, Bacon D, Kempe J K, et al. 2000 Nature 408 339
[4] Shan C J, Xia Y J 2006 Acta Phys. Sin. 55 1585 (in Chinese) [单传家, 夏云杰 2006 55 1585]
[5] Hutton A, Andose S 2004 Phys. Rev. A 69 04231
[6] Lee C F, Johnson N F 2004 Phys. Rev. A 70 052322
[7] Peng X, Du J, Suter D 2005 Phys. Rev. A 71 012307
[8] Bortz M, Karbach M, Schneider I 2009 Phys. Rev. B 79 245414
[9] Pratt F L, Blundell S J, Lancaster T, et al. 2006 Phys. Rev. Lett. 96 247203
[10] Pereira R G, Sirker J, Caux. J S, et al. 2006 Phys. Rev. Lett. 96 257202
[11] Kohno M 2009 Phys. Rev. Lett. 102 037203
[12] Gong S S, Su G 2009 Phys. Rev. A 80 012323
[13] Chen Z X, Zhou Z W, Zhou X, et al. 2010 Phys. Rev. A 81 022303
[14] Shan C J, Chen W W, Liu T K, Huang Y X, Li H 2008 Acta Phys. Sin. 57 2687 (in Chinese) [单传家, 程维文, 刘堂昆, 黄燕霞, 李宏 2008 57 2687]
[15] Xi Y X, Shan C J, Huang Y X 2014 Journal of Atomic and Molecular Physics 31 769 (in Chinese) [郗玉兴, 单传家, 黄燕霞 2014 原子与分子 31 769]
[16] Xi Y X, Chen W W, Huang Y X 2015 Quantum Inf. Process. 015 0998
[17] Xi Y X, Huang Y X 2015 Mod. Phys. Lett. B 29 1550107
[18] Zanardi P, Rasetti I 1997 Phys. Rev. Lett. 79 3306
[19] Lidar D A, Chuang I L, Whaley K B 1998 Phys. Rev. Lett. 81 2594
[20] Zou Q, Hu X M, Liu J M 2015 Acta Phys. Sin. 64 080302 (in Chinese) [邹琴, 胡小勉, 刘金明 2015 64 080302]
[21] Hamieh S D and Katsnelson M I 2000 Phys. Rev. A 72 032316
[22] Xu X B, Liu J M, Yu P F 2008 Chin. Phys. B 17 456
[23] Guo Z Y, Zhang X H, Xiao R H, et al. 2014 Acta Optica Sin. 34 0727001 (in Chinese) [郭战营, 张新海, 肖瑞华 等 2014 光学学报 34 0727001]
[24] Milburn G J 1991 Phys. Rev. A 44 5401
[25] Moya-Cessa H, Buzck V, Kim M S 1993 Phys. Rev. A 48 3900
[26] Jing B X, Xu B Z 1999 Phys. Rev. A 60 4743
[27] Wootters W K 1998 Phys. Rev. Lett. 80 2245
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