Quantum Correlation in Three-Qubit Heisenberg Model with Dzyaloshinskii-Moriya Interaction

Submission & Tracking

Communications in Theoretical Physics ›› 2012, Vol. 58 ›› Issue (01): 39-46.

• General • Previous Articles Next Articles

Quantum Correlation in Three-Qubit Heisenberg Model with Dzyaloshinskii-Moriya Interaction

TIAN Li-Jun, YAN Yi-Ying, QIN Li-Guo

Department of Physics, Shanghai University, Shanghai 200444, China

Received: 2012-01-10 Published: 2012-07-15
Funding Information:
Supported by the National Natural Science Foundation of China under Grant No. 11075101

Abstract

Abstract: We investigate the pairwise thermal quantum discord in a three-qubit XXZ model with Dzyaloshinskii-Moriya (DM) interaction. We find that the effects of DM interaction on antiferromagnetic system is distinct from that of ferromagnetic system. The magnetic field supplemented with DM term contribute to enhance the range of quantum discord. It is revealed that the situations where quantum discord fails to indicate a sudden change of groundstate at finite temperature though indicating such a sudden change of groundstate at zero temperature. Dynamics of pairwise thermal quantum discord is considered as well. Thermal quantum discord vanishes in asymptotic limit regardless of its initial values, however, thermal entanglement suddenly disappears in finite time.

Key words: entanglement, quantum discord, decoherence

PACS numbers:

03.67.Mn

TIAN Li-Jun, YAN Yi-Ying, QIN Li-Guo , Commun. Theor. Phys. 58 (2012) 39.

References

[1] R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. 81 (2009) 866.

[2] M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge (2000).

[3] H. Ollivier and W.H. Zurek, Phys. Rev. Lett. 88 (2001) 017901.

[4] S. Luo, Phys. Rev. A 77 (2008) 042303.

[5] M. Ali, A.R.P. Rau, and G. Alber, Phys. Rev. A 81 (2010) 042105.

[6] A. Datta, A. Shaji, and C.M. Caves, Phys. Rev. Lett. 100 (2008) 050502.

[7] B.P. Lanyon, M. Barbieri, M.P. Almeida, and A.G. White, Phys. Rev. Lett. 101 (2008) 200501.

[8] T. Werlang, S. Souza, F.F. Fanchini, and C.J. Villas Boas, Phys. Rev. A 80 (2009) 024103.

[9] F.F. Fanchini, T. Werlang, C.A. Brasil, L.G.E. Arruda, and A.O. Caldeira, Phys. Rev. A 81 (2010) 052107.

[10] J. Maziero, L.C. C閘eri, R.M. Serra, and V. Vedral, Phys. Rev. A 80 (2009) 044102.

[11] J. Maziero, T. Werlang, F.F. Fanchini, L.C. C閘eri, and R.M. Serra, Phys. Rev. A 81 (2010) 022116.

[12] J.Q. Li and J.Q. Liang, Phys. Lett. A 375 (2011) 1496.

[13] X. Xiao, M.F. Fang, Y.L. Li, G.D. Kang, and C. Wu, Opt. Commun. 283 (2010) 3001.

[14] J.S. Xu, C.F. Li, C.J. Zhang, X.Y. Xu, Y.S. Zhang, and G.C. Guo, Phys. Rev. A 82 (2010) 042328.

[15] J. Vala and B. Whaley, Phys. Rev. A 66 (2002) 022304.

[16] L. Ciliberti, R. Rossignoli, and N. Canosa, Phys. Rev. A 82 (2010) 042316.

[17] J. Maziero, H.C. Guzman, L.C. C閘eri, M.S. Sarandy, and R.M. Serra, Phys. Rev. A 82 (2010) 012106.

[18] A.S.M. Hassan, B. Lari, and P.S. Joag, J. Phys. A: Math. Theor. 43 (2010) 485302.

[19] A.K. Pal and I. Bose, J. Phys. B: At. Mol. Opt. Phys. 44 (2011) 045101.

[20] T. Werlang and G. Rigolin, Phys. Rev. A 81 (2010) 044101.

[21] R. Dillenschneider, Phys. Rev. B 78 (2008) 224413.

[22] T. Werlang, C. Trippe, G.A.P. Ribeiro, and G. Rigolin, Phys. Rev. Lett. 105 (2010) 095702.

[23] Y.X. Chen and S.W. Li, Phys. Rev. A 81 (2010) 032120.

[24] Y.C. Li and H.Q. Lin, Phys. Rev. A 83 (2011) 052323.

[25] T. Werlang, G.A.P. Ribeiro, and G. Rigolin, Phys. Rev. A 83 (2011) 062334.

[26] T. Moriya, Phys. Rev. 120 (1960) 91.

[27] K. Maruyama, T. Iitaka, and F. Nori, Phys. Rev. A 75 (2007) 012325.

[28] G.F. Zhang, Phys. Rev. A 75 (2007) 034304.

[29] M. Kargarian, R. Jafari, and A. Langari, Phys. Rev. A 79 (2009) 042319.

[30] X. Hao, Phys. Rev. A 81 (2010) 044301.

[31] W.W. Cheng and J.M. Liu, Phys. Rev. A 81 (2010) 044304.

[32] Y.X. Chen and Z. Yin, Commun. Theor. Phys. 54 (2010) 60.

[33] B.Q. Liu, B. Shao, J.G. Li, J. Zou, and L.A. Wu, Phys. Rev. A 83 (2011) 052112.

[34] X.G. Wang, Phys. Rev. A 64 (2001) 012313.

[35] W. D黵, G. Vidal, and J.I. Cirac, Phys. Rev. A 62 (2000) 062314.

[36] M. Siomau and S. Fritzsche, Eur. Phys. J. D 60 (2010) 397.

[37] X.G. Wang, H.C. Fu, and A.I. Solomon, J. Phys. A: Math. Gen. 34 (2001) 11307.

[38] L. Henderson and V. Vedral, J. Phys. A: Math. Gen. 34 (2001) 6899.

[39] W.K. Wootters, Phys. Rev. Lett. 80 (1998) 2245.

[40] H. Carmichael, An Open Systems Approach to Quantum Optics, Springer, Berlin (1993).

Quantum Correlation in Three-Qubit Heisenberg Model with Dzyaloshinskii-Moriya Interaction

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0

[1]	Miao Xu(徐淼),Wei-Feng Zhou(周伟峰),Feng Chen(陈峰),Li-Zhen Jiang(蒋丽珍),Xiao-Yu Chen(陈小余). Entanglement witnesses of four-qubit tripartite separable quantum states [J]. Commun. Theor. Phys. 74 (2022) 35102.
[2]	Artur Czerwinski. Quantifying entanglement of two-qubit Werner states [J]. Commun. Theor. Phys. 73 (2021) 85101.
[3]	Yu-Xia Xie. Steady-state teleportation fidelity and Bell nonlocality in dissipative environments [J]. Commun. Theor. Phys. 73 (2021) 75102.
[4]	Ran Li,Jin Wang. Hawking radiation and page curves of the black holes in thermal environment [J]. Commun. Theor. Phys. 73 (2021) 75401.
[5]	Yuhong Ye(叶玉洪), Hongwei Yu(余洪伟), Jiawei Hu(胡佳伟). Entanglement generation and protection for two atoms in the presence of two parallel mirrors [J]. Commun. Theor. Phys. 73 (2021) 65104.
[6]	Jamal El Qars. Total versus quantum correlations in a two-mode Gaussian state [J]. Commun. Theor. Phys. 73 (2021) 55103.
[7]	Xiao-Ming Li(李晓明),Yong-Xu Chen(陈勇旭),Yun-Jie Xia(夏云杰),Zhong-Xiao Man(满忠晓). Effect of entanglement embedded in environment on quantum non-Markovianity based on collision model [J]. Commun. Theor. Phys. 73 (2021) 55104.
[8]	Yang-Yang Wang,Rong Zhang,Stefano Chesi,Ying-Dan Wang. Reservoir-engineered entanglement in an unresolved-sideband optomechanical system [J]. Commun. Theor. Phys. 73 (2021) 55105.
[9]	Qian-Tong Men(门前同),Li-Zhen Jiang(蒋丽珍),Xiao-Yu Chen(陈小余). Separability of evolving W state in a noise environment [J]. Commun. Theor. Phys. 73 (2021) 45101.
[10]	Ya Yang,Yan Liu,Jing Lu,Lan Zhou. Entanglement of two Jaynes-Cummings atoms in single-excitation space [J]. Commun. Theor. Phys. 73 (2021) 25101.
[11]	Chaojian Li,Bang-Hai Wang,Bujiao Wu,Xiao Yuan. Detecting entanglement of quantum channels [J]. Commun. Theor. Phys. 73 (2021) 115101.
[12]	Kun-Jie Zhou(周坤杰),Jian Zou(邹健),Bao-Ming Xu(徐宝明),Lei Li(李磊),Bin Shao(邵彬). Effect of non-Markovianity on synchronization [J]. Commun. Theor. Phys. 73 (2021) 105101.
[13]	Yun Cao,Dong Wang,Xiao-Gang Fan,Fei Ming,Zhang-Yin Wang,Liu Ye. Complementary relation between quantum entanglement and entropic uncertainty [J]. Commun. Theor. Phys. 73 (2021) 15101.
[14]	Yu Han,Zhen Li,Le-Man Kuang. Quantum dynamics of an impurity-doped Bose–Einstein condensate system [J]. Commun. Theor. Phys. 72 (2020) 95102.
[15]	Li-Min Gao,Feng-Li Yan,Ting Gao. Tighter monogamy relations of multiqubit entanglement in terms of Rényi-α entanglement [J]. Commun. Theor. Phys. 72 (2020) 85102.