Abstract
We investigate pairwise entanglement and quantum discord (QD) in the XY spin model with anisotropic three-site interaction at zero and finite temperatures. For both the nearest-neighbor spins and the next nearest-neighbor spins, special attention is paid to the dependence of entanglement and QD on the anisotropic parameter \(\delta \) induced by the next nearest-neighbor spins. We show that the behavior of QD differs in many ways from entanglement under the influences of the anisotropic three-site interaction at finite temperatures. More important, comparing the effects of \(\delta \) on the entanglement and QD, we find the anisotropic three-site interaction plays an important role in the quantum correlations at zero and finite temperatures. It is found that \(\delta \) can strengthen the quantum correlation for both the nearest-neighbor spins and the next nearest-neighbor spins, especially for the nearest-neighbor spins at low temperature.
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Bennett, C H, Brassard, G, Cépeau, CR, Jozsa, R, Peres, A, Wootters, W K: Phys. Rev. Lett. 70, 1895 (1993)
Bennett, C H, Sicincenzo, D P: Nature 404, 247 (2000)
Bennett, C H, Wiesner, S J: Phys. Rev. Lett. 69, 2881 (1992)
Ollivier, H, Zurek, W H: Phys. Rev. Lett. 88, 017901 (2002)
Dakic, B, Vedral, V, Brukner, C: Phys. Rev. Lett. 105, 190502 (2010)
Luo, S L: Phys. Rev. A 77, 042303 (2008)
Luo, S L, Fu, S S: Phys. Rev. A 82, 034302 (2010)
Zhou, T, Cui, J X, Long, G L: Phys. Rev. A 84, 062105 (2011)
Hassan, A S M, Lari, B, Joag, P S: Phys. Rev. A 85, 024302 (2012)
Lanyon, B P, Barbieri, M, Almedia, M P, White, A G: Phys. Rev. Lett. 101, 200501 (2008)
Ali, M, Rau, A R P, Alber, G: Phys. Rev. A 81, 042105 (2010)
Henderson, L, Vedral, V: J. Phys. A: Math. Gen. 34, 6899 (2001)
Chen, Y H, Xia, Y, Chen, Q Q, Song, J: Phys. Rev. A 91, 012325 (2015)
Chen, Y H, Xia, Y, Chen, Q Q, Song, J: Phys. Rev. A 89, 033856 (2014)
Lu, M, Xia, Y, Shen, L T, Song, J, An, N B: Phys. Rev. A 89, 012326 (2014)
Kang, Y H, Chen, Y H, Shi, Z C, Song, J, Xia, Y: Phys. Rev. A 94, 052311 (2016)
Kang, Y H, Chen, Y H, Shi, Z C, Huang, B H, Song, J, Xia, Y: Phys. Rev. A 96, 022304 (2017)
Song, J, Li, C., Zhang, Z J, Jiang, Y Y, Xia, Y: Phys. Rev. A 96, 032336 (2017)
Li, C, Yang, S, Song, J, Xia, Y, Ding, W Q: Opt. Express 25, 10961 (2017)
Arnesen, M C, Bose, S, Vedral, V: Phys. Rev. Lett. 87, 017901 (2001)
Wang, X: Phys. Rev. A 64, 012313 (2001)
Gunlycke, D, Bose, S, Kendon, V M, Vedral, V: Phys. Rev. A 64, 042302 (2001)
Zhou, L, Song, H S, Guo, Y Q, Li, C: Phys. Rev. A 68, 024301 (2003)
Yeo, Y: Phys. Rev. A 66, 062312 (2002)
Asoudeh, M, Karimipour, V: Phys. Rev. A 71, 022308 (2005)
Zhang, G F: Phys. Rev. A 72, 034302 (2005)
Wang, X G, Fu, H C, Solomon, A I: J. Phys. A: Math. Gen. 34, 11307 (2001)
Wang, X G: Phys. Lett. A 281, 101 (2001)
Werlang, T, Rigolin, G: Phys. Rev. A 81, 044101 (2010)
Werlang, T, Trippe, C, Ribeiro, G A P, Rigolin, G: Phys. Rev. Lett. 105, 095702 (2010)
Wang, Q, Liao, J Q, Zeng, H S: Chin. Phys. B 19, 100311 (2010)
Chen, Y X, Yin, Z: Commun. Theor. Phys. 54, 60 (2010)
Guo, J L, Mi, Y J, Zhang, J, Song, H S: J. Phys. B: At. Mol. Opt. Phys. 44, 065504 (2011)
Zhang, G F, Zhao, T J, Abliz, A: Ann. Phys. 326, 867 (2011)
Pachos, J K, Plenio, M B: Phys. Rev. Lett. 93, 056402 (2004)
Tsvelik, A M: Phys. Rev. B 42, 779 (1990)
Lou, P, Wu, W C, Chang, M C: Phys. Rev. B 70, 064405 (2004)
Qin, W, Guo, J L: Int. J. Theor. Phys. 54, 2386 (2015)
Zhang, G, Song, Z: Phys. Rev. Lett. 115, 177204 (2015)
Wootter, W K: Phys. Rev. Lett. 80, 2245 (1998)
Groisman, B, Popescu, S, Winter, A: Phys. Rev. A 72, 032317 (2005)
Acknowledgments
This work was supported by the Natural Science Foundation of China (Grant Nos. 11305114, 11304226, 11505126), and the Program for Innovative Research in University of Tianjin (Grant No.TD13-5077).
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Wang, Y., Chai, BB. & Guo, JL. Quantum Correlation in the XY Spin Model with Anisotropic Three-Site Interaction. Int J Theor Phys 57, 2504–2512 (2018). https://doi.org/10.1007/s10773-018-3772-9
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DOI: https://doi.org/10.1007/s10773-018-3772-9