Thermal quantum correlations of a spin-1/2 Ising-Heisenberg diamond chain with Dzyaloshinskii-Moriya interaction

doi:10.1088/1674-1056/27/9/090306

中国物理B ›› 2018, Vol. 27 ›› Issue (9): 90306-090306.doi: 10.1088/1674-1056/27/9/090306

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Thermal quantum correlations of a spin-1/2 Ising-Heisenberg diamond chain with Dzyaloshinskii-Moriya interaction

Yidan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌)

Department of Physics, Hubei University, Wuhan 430062, China

收稿日期:2018-04-23 修回日期:2018-06-25 出版日期:2018-09-05 发布日期:2018-09-05
通讯作者: Zhu Mao, Zhu Mao E-mail:maozhu@hubu.edu.cn;binzhou@hubu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11274102), the New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-11-0960), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20134208110001).

Thermal quantum correlations of a spin-1/2 Ising-Heisenberg diamond chain with Dzyaloshinskii-Moriya interaction

Yidan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌)

Department of Physics, Hubei University, Wuhan 430062, China

Received:2018-04-23 Revised:2018-06-25 Online:2018-09-05 Published:2018-09-05
Contact: Zhu Mao, Zhu Mao E-mail:maozhu@hubu.edu.cn;binzhou@hubu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11274102), the New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-11-0960), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20134208110001).

摘要/Abstract

摘要：

We investigate the properties of thermal quantum correlations in an infinite spin-1/2 Ising-Heisenberg diamond chain with Dzyaloshinskii-Moriya (DM) interaction. The thermal quantum discord (TQD) and the thermal entanglement (TE) are discussed as two kinds of important methods to measure the quantum correlation, respectively. It is found that DM interaction plays an important role in the thermal quantum correlations of the system. It can enhance the thermal quantum correlations by increasing DM interaction. Furthermore, the thermal quantum correlations can be promoted by tuning the external magnetic field and the Heisenberg coupling parameter in the antiferromagnetic system. It is shown that the behaviors of TQD differ from those of TE. TQD is more robust against decoherence than TE. For the measurement of TQD, the “regrowth” phenomenon occurs in the ferromagnetic system. We also find that the anisotropy favors the thermal quantum correlations of the system with weak DM interaction.

关键词: thermal quantum discord, thermal entanglement, Ising-Heisenberg diamond chain

Abstract:

Key words: thermal quantum discord, thermal entanglement, Ising-Heisenberg diamond chain

中图分类号: (Entanglement production and manipulation)

03.67.Bg

03.67.Mn (Entanglement measures, witnesses, and other characterizations) 75.10.Pq (Spin chain models)

郑一丹, 毛竹, 周斌. Thermal quantum correlations of a spin-1/2 Ising-Heisenberg diamond chain with Dzyaloshinskii-Moriya interaction[J]. 中国物理B, 2018, 27(9): 90306-090306.

Yidan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌). Thermal quantum correlations of a spin-1/2 Ising-Heisenberg diamond chain with Dzyaloshinskii-Moriya interaction[J]. Chin. Phys. B, 2018, 27(9): 90306-090306.

参考文献 54

[1]	Ekert A K 1991 Phys. Rev. Lett. 67 661 doi: 10.1103/PhysRevLett.67.661
[2]	Bennett C H and Wiesner S J 1992 Phys. Rev. Lett. 69 2881 doi: 10.1103/PhysRevLett.69.2881
[3]	Datta A, Shaji A and Caves C M 2008 Phys. Rev. Lett. 100 050502 doi: 10.1103/PhysRevLett.100.050502
[4]	Gu M, Chrzanowski H M, Assad S M, Symul T, Modi K, Ralph T C, Vedral V and Lam P K 2012 Nat. Phys. 8 671 doi: 10.1038/nphys2376
[5]	Aspect A, Grangier P and Roger G 1981 Phys. Rev. Lett. 47 460 doi: 10.1103/PhysRevLett.47.460
[6]	Aspect A, Dalibard J and Roger G 1982 Phys. Rev. Lett. 49 1804 doi: 10.1103/PhysRevLett.49.1804
[7]	Aspect A, Grangier P and Roger G 1982 Phys. Rev. Lett. 49 91 doi: 10.1103/PhysRevLett.49.91
[8]	Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865 doi: 10.1103/RevModPhys.81.865
[9]	Jozsa R and Linden N 2003 Proc. R. Soc. A 459 2011 doi: 10.1098/rspa.2002.1097
[10]	Shor P W 1994 Proceedings of the 35th Annual Symposium on the Foundations of Computer Science, Nov 20-22, 1994, Santa Fe, USA, p.~124
[11]	Torrico J, Rojas M, de Souza S M, Rojas O and Ananikian N S 2014 Europhys. Lett. 108 50007 doi: 10.1209/0295-5075/108/50007
[12]	Ananikian N S, Ananikyan L N, Chakhmakhchyan L A and Rojas O 2012 J. Phys.:Condens. Matter 24 256001 doi: 10.1088/0953-8984/24/25/256001
[13]	Ollivier H and Zurek W H 2001 Phys. Rev. Lett. 88 017901 doi: 10.1103/PhysRevLett.88.017901
[14]	Henderson L and Vedral V 2001 J. Phys. A 34 6899 doi: 10.1088/0305-4470/34/35/315
[15]	Luo S 2008 Phys. Rev. A 77 042303 doi: 10.1103/PhysRevA.77.042303
[16]	Ali M, Rau A R P and Alber G 2010 Phys. Rev. A 81 042105 doi: 10.1103/PhysRevA.81.042105
[17]	Sarandy M S 2009 Phys. Rev. A 80 022108 doi: 10.1103/PhysRevA.80.022108
[18]	Lu X M, Ma J, Xi Z and W X 2011 Phys. Rev. A 83 012327 doi: 10.1103/PhysRevA.83.012327
[19]	Chen Q, Zhang C, Yu S, Yi X X and Oh C H 2011 Phys. Rev. A 84 042313 doi: 10.1103/PhysRevA.84.042313
[20]	Terzis A F, Androvitsaneas P and Paspalakis E 2012 Quant. Inf. Proc. 11 1931 doi: 10.1007/s11128-011-0345-8
[21]	Motamedifar M 2017 Quant. Inf. Proc. 16 162 doi: 10.1007/s11128-017-1611-1
[22]	Wang L C, Yan J Y and Yi X X 2011 Chin. Phys. B 20 040305 doi: 10.1088/1674-1056/20/4/040305
[23]	Werlang T and Rigolin G 2010 Phys. Rev. A 81 044101 doi: 10.1103/PhysRevA.81.044101
[24]	Gao K, Xu Y L, Kong X M and Liu Z Q 2015 Physica A 429 10 doi: 10.1016/j.physa.2015.02.007
[25]	Guo J L, Mi Y J, Zhang J and Song H S 2011 J. Phys. B:At. Mol. Opt. Phys. 44 065504 doi: 10.1088/0953-4075/44/6/065504
[26]	Girolami D and Adesso G 2011 Phys. Rev. A 83 052108 doi: 10.1103/PhysRevA.83.052108
[27]	Dillenschneider R 2008 Phys. Rev. B 78 224413 doi: 10.1103/PhysRevB.78.224413
[28]	Liu B Q, Shao B, Li J G, Zou J and Wu L A 2011 Phys. Rev. A 83 052112 doi: 10.1103/PhysRevA.83.052112
[29]	Xu L, Yuan J B, Tan Q S, Zhou L and Kuang L M 2011 Eur. Phys. J. D 64 565 doi: 10.1140/epjd/e2011-20195-y
[30]	Arnesen M C, Bose S and Vedral V 2001 Phys. Rev. Lett. 87 017901 doi: 10.1103/PhysRevLett.87.017901
[31]	Werlang T, Ribeiro G A P and Rigolin G 2013 Int. J. Mod. Phys. B 27 1345032 doi: 10.1142/S021797921345032X
[32]	Tian L J, Yan Y Y and Qin L G 2012 Commun. Theor. Phys. 58 39 doi: 10.1088/0253-6102/58/1/08
[33]	Xiao R H, Guo Z Y and Fang J X 2012 Mod. Phys. Lett. B 26 1150028 doi: 10.1142/S021798491150028X
[34]	Tan X D, Huang S S and Jin B Q 2013 Commun. Theor. Phys. 59 146 doi: 10.1088/0253-6102/59/2/04
[35]	Gong J M and Hui Z Q 2014 Physica B 444 40 doi: 10.1016/j.physb.2014.03.032
[36]	Li D C and Cao Z L 2008 Eur. Phys. J. D 50 207 doi: 10.1140/epjd/e2008-00208-x
[37]	Wang X, Fu H and Solomon A I 2001 J. Phys. A:Math. Gen. 34 11307 doi: 10.1088/0305-4470/34/50/312
[38]	Kikuchi H, Fujii Y, Chiba M, Mitsudo S and Idehara T 2003 Physica B 329 967
[39]	Kikuchi H, Fujii Y, Chiba M, Mitsudo S, Idehara T, Tonegawa T, Okamoto K, Sakai T, Kuwai T and Ohta H 2005 Phys. Rev. Lett. 94 227201 doi: 10.1103/PhysRevLett.94.227201
[40]	Jaščur M and Strečka J 2004 J. Magn. Magn. Mater. 272-276 984 doi: 10.1016/j.jmmm.2003.12.167
[41]	Čanová L, Strečka J and Jaščur M 2006 J. Phys.:Condens. Matter 18 4967 doi: 10.1088/0953-8984/18/20/020
[42]	Strečka J, Čanová L, Lučivjanský T and Jaščur M 2009 J. Phys.:Conf. Series 145 012058 doi: 10.1088/1742-6596/145/1/012058
[43]	Zheng Y D, Mao Z and Zhou B 2017 Chin. Phys. B 26 070302 doi: 10.1088/1674-1056/26/7/070302
[44]	Rojas O, Rojas M, Ananikian N S and de Souza S M 2012 Phys. Rev. A 86 042330 doi: 10.1103/PhysRevA.86.042330
[45]	Qiao J and Zhou B 2015 Chin. Phys. B 24 110306 doi: 10.1088/1674-1056/24/11/110306
[46]	Faizi E and Eftekhari H 2014 Rep. Math. Phys. 74 251 doi: 10.1016/S0034-4877(15)60019-2
[47]	Dzyaloshinsky I 1958 J. Phys. Chem. Solids. 4 241 doi: 10.1016/0022-3697(58)90076-3
[48]	Moriya T 1960 Phys. Rev. 120 91 doi: 10.1103/PhysRev.120.91
[49]	Chen Y X and Yin Z 2010 Commun. Theor. Phys. 54 60 doi: 10.1088/0253-6102/54/1/12
[50]	Kikuchi H, Fujii Y, Chiba M, Mitsudo S, Idehara T, Tonegawa T, Okamoto K, Sakai T, Kuwai T and Ohta H 2005 Phys. Rev. Lett. 94 227201 doi: 10.1103/PhysRevLett.94.227201
[51]	Kikuchi H, Fujii Y, Chiba M, Mitsudo S, Idehara T, Tonegawa T, Okamoto K, Sakai T, Kuwai T, Kindo K, Matsuo A, Higemoto W, Nishiyama K, Horvatić M and Bertheir C 2005 Prog. Theore. Phys. Suppl. 159 1
[52]	Rule K C, Reehuis M, Gibson M C R, Ouladdiaf B, Gutmann M J, Hoffmann J U, Gerischer S, Tennant D A, Süllow S and Lang M 2011 Phys. Rev. B 83 104401 doi: 10.1103/PhysRevB.83.104401
[53]	Wootters W K 1998 Phys. Rev. Lett. 80 2245 doi: 10.1103/PhysRevLett.80.2245
[54]	Hill S and Wootters W K 1997 Phys. Rev. Lett. 78, 5022 doi: 10.1103/PhysRevLett.78.5022

Thermal quantum correlations of a spin-1/2 Ising-Heisenberg diamond chain with Dzyaloshinskii-Moriya interaction

Thermal quantum correlations of a spin-1/2 Ising-Heisenberg diamond chain with Dzyaloshinskii-Moriya interaction

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