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By adopting the concept of the geometric measure of quantum discord, we explore the property of quantum correlation in the two-spin Heisenberg model, gain the analytic expression of quantum discord in the general case, and discuss the influences of the coupling constant, temperature, the intensity of the external magnetic field on magnitude of the quantum correlation. The corresponding scheme of tuning quantum correlation is also given in this paper. In addition, we find that quantum discord has a sudden transition in the lower temperature. Results show that adjusting systematic parameters, which are temperature, coupling strength, magnetic field intensity, etc, is an effective way to control the value of quantum correlation in the double spin Heisenberg model system. This provides a certain reference and significant guidance for the precise control of quantum discord and realizing the teleportation of quantum state and the design of quantum logic gates.
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Keywords:
- quantum discord /
- spin system
[1] Madhok V, Datta A 2013 Int. J. Mod. Phys. B 27 1345041
[2] Horodecki R, Horodecki P, Horodecki M, Horodecki K 2009 Rev. Mod. Phys. 81 865
[3] Hu M L, Fan H 2013 Phys. Rev. A 87 022314
[4] Streltsov A, Zurek W H 2013 Phys. Rev. Lett. 111 040401
[5] Guo L, Liang X T 2009 Acta Phys. Sin. 58 50 (in Chinese) [郭亮, 梁先庭 2009 物理学报 58 50]
[6] Raimond J M, Brune M, Haroche S 2001 Rev. Mod. Phys. 73 565
[7] Cleve R, van Dam W, Nielsen M, Tapp A 2013 Theor. Comput. Sci. 486 11
[8] Ávila M, Sun G H, Salas-Brito A L 2014 Adv. Math. Phys. 2014 4
[9] Pang C Q, Zhang F L, Xu L F, Chen J L 2013 Phys. Rev. A 88 052331
[10] He Z, Li L W 2013 Acta Phys. Sin. 62 180301 (in Chinese) [贺志, 李龙武 2013 物理学报 62 180301]
[11] Cui J, Fan H 2010 J. Phys. A: Math. Theor. 43 045305
[12] Xu J S, Xu X Y, Li C F, Zhang C J, Zou X B, Guo G C 2010 Nat. Commum. 1 7
[13] Ding B F, Wang X Y, Liu J F, Yan L, Zhao H P 2012 Chin. Phys. Lett. 28 104216
[14] Ferraro A, Aolota L, Cavalcanti D, Cucchietti F M, Acin A 2010 Phys. Rev. A 81 052318
[15] Henderson L, Vedral V 2001 J. Phys. A: Math. Gen. 34 6899
[16] Ollivier H, Zurek W H 2001 Phys. Rev. Lett. 88 017901
[17] Datta A, Shaji A, Caves C M 2008 Phys. Rev. Lett. 100 050502
[18] Lanyon B P, Barbieri M, Almeida M P, White A G 2008 Phys. Rev. Lett. 101 200501
[19] Wei H R, Ren B C, Deng F G 2013 Quantum Inf. Process 12 1109
[20] Chen L, Shao X Q, Zhang S 2009 Chin. Phys. B 18 188
[21] Keshari S R, Caves C M, Ralph T C 2013 Phys. Rev. A 87 012119
[22] Dakić B, Vedral V, Brukner Č 2010 Phys. Rev. Lett. 105 190502
[23] Lu D M, Qiu C D 2014 Acta Phys. Sin. 63 110303 (in Chinese) [卢道明, 邱昌东 2014 物理学报 63 110303]
[24] Sabapathy K K, lvan J S, Ghosh S, Simon R 2013 arXiv: 1304.4857v2
[25] Montealegre J D, Paula F M, Saguia A, Sarandy M S 2013 Phys. Rev. A 87 042115
[26] Liu B Q, Shao B, Li J G, Zou J, Wu L A 2011 Phys. Rev. A 83 052112
[27] Li C Z 2000 Quantum Communication and Computing (Changsha: National University of Defence Technology Press) p78 (in Chinese) [李承祖2000量子通信与量子计算(长沙: 国防科技大学出版社)第78页]
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[1] Madhok V, Datta A 2013 Int. J. Mod. Phys. B 27 1345041
[2] Horodecki R, Horodecki P, Horodecki M, Horodecki K 2009 Rev. Mod. Phys. 81 865
[3] Hu M L, Fan H 2013 Phys. Rev. A 87 022314
[4] Streltsov A, Zurek W H 2013 Phys. Rev. Lett. 111 040401
[5] Guo L, Liang X T 2009 Acta Phys. Sin. 58 50 (in Chinese) [郭亮, 梁先庭 2009 物理学报 58 50]
[6] Raimond J M, Brune M, Haroche S 2001 Rev. Mod. Phys. 73 565
[7] Cleve R, van Dam W, Nielsen M, Tapp A 2013 Theor. Comput. Sci. 486 11
[8] Ávila M, Sun G H, Salas-Brito A L 2014 Adv. Math. Phys. 2014 4
[9] Pang C Q, Zhang F L, Xu L F, Chen J L 2013 Phys. Rev. A 88 052331
[10] He Z, Li L W 2013 Acta Phys. Sin. 62 180301 (in Chinese) [贺志, 李龙武 2013 物理学报 62 180301]
[11] Cui J, Fan H 2010 J. Phys. A: Math. Theor. 43 045305
[12] Xu J S, Xu X Y, Li C F, Zhang C J, Zou X B, Guo G C 2010 Nat. Commum. 1 7
[13] Ding B F, Wang X Y, Liu J F, Yan L, Zhao H P 2012 Chin. Phys. Lett. 28 104216
[14] Ferraro A, Aolota L, Cavalcanti D, Cucchietti F M, Acin A 2010 Phys. Rev. A 81 052318
[15] Henderson L, Vedral V 2001 J. Phys. A: Math. Gen. 34 6899
[16] Ollivier H, Zurek W H 2001 Phys. Rev. Lett. 88 017901
[17] Datta A, Shaji A, Caves C M 2008 Phys. Rev. Lett. 100 050502
[18] Lanyon B P, Barbieri M, Almeida M P, White A G 2008 Phys. Rev. Lett. 101 200501
[19] Wei H R, Ren B C, Deng F G 2013 Quantum Inf. Process 12 1109
[20] Chen L, Shao X Q, Zhang S 2009 Chin. Phys. B 18 188
[21] Keshari S R, Caves C M, Ralph T C 2013 Phys. Rev. A 87 012119
[22] Dakić B, Vedral V, Brukner Č 2010 Phys. Rev. Lett. 105 190502
[23] Lu D M, Qiu C D 2014 Acta Phys. Sin. 63 110303 (in Chinese) [卢道明, 邱昌东 2014 物理学报 63 110303]
[24] Sabapathy K K, lvan J S, Ghosh S, Simon R 2013 arXiv: 1304.4857v2
[25] Montealegre J D, Paula F M, Saguia A, Sarandy M S 2013 Phys. Rev. A 87 042115
[26] Liu B Q, Shao B, Li J G, Zou J, Wu L A 2011 Phys. Rev. A 83 052112
[27] Li C Z 2000 Quantum Communication and Computing (Changsha: National University of Defence Technology Press) p78 (in Chinese) [李承祖2000量子通信与量子计算(长沙: 国防科技大学出版社)第78页]
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