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We study the influences of the external magnetic field, temperature, and coupling parameter on the thermal quantum correlation in a two-qubit Heisenberg XY model, where the correlation is described in terms of two modified geometric discords and concurrence. It is shown that those three quantities behave similarly in the regions of lower temperature and weak magnetic field. However, the two geometric discords are more robust against temperature and magnetic field than the concurrence. Moreover, two geometric discords exhibit different behaviors under suitable conditions, that is, one discord increases as the magnetic field rises whereas the other discord decreases. In particular, the discord reveals the phenomenon of sudden change, while neither of other discord and concurrence displays such a phenomenon.
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Keywords:
- geometric discords /
- concurrence /
- two-qubit model
[1] Vedral V 2002Rev. Mod. Phys. 74 197
[2] Horodecki R, Horodecki P, Horodecki M, Horodecki K 2009Rev. Mod. Phys. 81 865
[3] Modi K, Brodutch A, Cable H, Paterek T, Vedral V 2012Rev. Mod. Phys. 84 1655
[4] Wooters W K 1998Phys. Rev. Lett. 80 2245
[5] Peres A 1996Phys. Rev. Lett. 77 1413
[6] Vidal G, Wörner R F 2002Phys. Rev. A 65 032314
[7] Arnesen M C, Bose S, Vedral V 2001Phys. Rev. Lett. 87 017901
[8] Wang X G 2002Phys. Rev. A 66 044305
[9] Zvyagin A A 2009Phys. Rev. B 80 144408
[10] Leggio B, Napoli A, Messina A 2012Phys. Lett. A 376 339
[11] Henderson L, Vedral V 2001J. Phys. A 34 6899
[12] Ollivier H, Zurek W H 2001Phys. Rev. Lett. 88 017901
[13] Jafari R, Kargarian M, Langari A, Siahatgar M 2008Phys. Rev. B 78 214414
[14] Gao K, Xu Y L, Kong X M, Liu Z Q 2015Physica A 429 10
[15] Gong J M, Tang Q, Sun Y H, Qiao L 2015Physica B 461 70
[16] Luo S 2008Phys. Rev. A 77 042303
[17] Ali M, Rau A R P, Alber G 2010Phys. Rev. A 81 042105
[18] Girolami D, Adesso G 2011Phys. Rev. A 83 052108
[19] Chen Q, Zhang C J, Yu S X, Yi X X, Oh C H 2011Phys. Rev. A 84 042313
[20] Adesso G, Datta A 2010Phys. Rev. Lett. 105 030501
[21] Dakić B, Vedral V, Brukner Č 2010Phys. Rev. Lett. 105 190502
[22] Xie M Q, Guo B 2013Acta Phys. Sin. 62 110303
[23] Wang D Q, He C C 2015Acta Phys. Sin. 64 043403
[24] Piani M 2012Phys. Rev. A 86 034101
[25] Chang L, Luo S 2013Phys. Rev. A 87 062303
[26] Paula F M, de Oliveira T R, Sarandy M S 2013Phys. Rev. A 87 164101
[27] Luo S, Fu S 2010Phys. Rev. A 82 034302
[28] He J Z, He X, Zheng J 2012Chin. Phys. B 21 050303
[29] Liu B, Hu Z, Hou X W 2014Int. J. Quantum Inform. 12 1450027
[30] L H Y, Yuan W, Hou X W 2013Acta Phys. Sin. 62 110301(in Chinese)[吕海艳, 袁伟, 侯喜文2013 62 110301]
[31] Xu J S, Xu X Y, Li C F, Zhang C J, Zou X B, Guo G C 2010Nat. Commun. 1 7
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[1] Vedral V 2002Rev. Mod. Phys. 74 197
[2] Horodecki R, Horodecki P, Horodecki M, Horodecki K 2009Rev. Mod. Phys. 81 865
[3] Modi K, Brodutch A, Cable H, Paterek T, Vedral V 2012Rev. Mod. Phys. 84 1655
[4] Wooters W K 1998Phys. Rev. Lett. 80 2245
[5] Peres A 1996Phys. Rev. Lett. 77 1413
[6] Vidal G, Wörner R F 2002Phys. Rev. A 65 032314
[7] Arnesen M C, Bose S, Vedral V 2001Phys. Rev. Lett. 87 017901
[8] Wang X G 2002Phys. Rev. A 66 044305
[9] Zvyagin A A 2009Phys. Rev. B 80 144408
[10] Leggio B, Napoli A, Messina A 2012Phys. Lett. A 376 339
[11] Henderson L, Vedral V 2001J. Phys. A 34 6899
[12] Ollivier H, Zurek W H 2001Phys. Rev. Lett. 88 017901
[13] Jafari R, Kargarian M, Langari A, Siahatgar M 2008Phys. Rev. B 78 214414
[14] Gao K, Xu Y L, Kong X M, Liu Z Q 2015Physica A 429 10
[15] Gong J M, Tang Q, Sun Y H, Qiao L 2015Physica B 461 70
[16] Luo S 2008Phys. Rev. A 77 042303
[17] Ali M, Rau A R P, Alber G 2010Phys. Rev. A 81 042105
[18] Girolami D, Adesso G 2011Phys. Rev. A 83 052108
[19] Chen Q, Zhang C J, Yu S X, Yi X X, Oh C H 2011Phys. Rev. A 84 042313
[20] Adesso G, Datta A 2010Phys. Rev. Lett. 105 030501
[21] Dakić B, Vedral V, Brukner Č 2010Phys. Rev. Lett. 105 190502
[22] Xie M Q, Guo B 2013Acta Phys. Sin. 62 110303
[23] Wang D Q, He C C 2015Acta Phys. Sin. 64 043403
[24] Piani M 2012Phys. Rev. A 86 034101
[25] Chang L, Luo S 2013Phys. Rev. A 87 062303
[26] Paula F M, de Oliveira T R, Sarandy M S 2013Phys. Rev. A 87 164101
[27] Luo S, Fu S 2010Phys. Rev. A 82 034302
[28] He J Z, He X, Zheng J 2012Chin. Phys. B 21 050303
[29] Liu B, Hu Z, Hou X W 2014Int. J. Quantum Inform. 12 1450027
[30] L H Y, Yuan W, Hou X W 2013Acta Phys. Sin. 62 110301(in Chinese)[吕海艳, 袁伟, 侯喜文2013 62 110301]
[31] Xu J S, Xu X Y, Li C F, Zhang C J, Zou X B, Guo G C 2010Nat. Commun. 1 7
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