Entanglement in a two-qubit Heisenberg XXZ chain with different Dzyaloshinskii-Moriyacouplings and an inhomogeneous magnetic field

QIN Meng; LI Yan-Biao; BAI Zhong; LIN Shang-Jin; LIU Wei

doi:10.1088/1674-1137/34/11/004

Chinese Physics C> 2010, Vol. 34> Issue(11) : 1693-1695 DOI: 10.1088/1674-1137/34/11/004

Entanglement in a two-qubit Heisenberg XXZ chain with different Dzyaloshinskii-Moriyacouplings and an inhomogeneous magnetic field

Abstract
HTML
Reference
Related

PDF

Abstract：
Ground state entanglement and thermal entanglement of a two-qubit Heisenberg XXZ chain in the presence of the different Dzyaloshinski-Moriya interaction and inhomogeneous magnetic field are investigated. By the concept of concurrence, we find that the inhomogeneity of the magnetic field may make entanglement last for a long time and the critical temperature is dependent on J_z and b. The entanglement can be increased by increasing the temperature in some cases. We also find that the x-component parameter D_x has a higher critical temperature and more entanglement for a certain condition than the z-component parameter D_z.

References

[1]

Einstein A,Podolsky B,Rosen N.Phys.Rev.,1935,47:777-780[2] Schrdinger E.Naturwissenschaften,1935,23:807-808[3] Arnesen M C,Bose S,Vedral V.Phys.Rev.Lett.,2001,87:017901[4] Nishiyama M,Inada Y,ZHENG Guo-Qing.Phys.Rev.Lett.2007,98:047002[5] Trauzettel B,Denis V,Bulaev et al.Nature Phys.,2007,3:192[6] Hanson R,Kouwenhoven L P,Petta J R et al.Rev.Mod.Phys.,2007,79:1217[7] Porras D,Cirac J I.Phys.Rev.Lett.,2004,92:207901[8] QIN Meng,TIAN Dong-Ping.Chinese Physics C,2009,33(04):249-251[9] WANG Xiao-Guang.Phys.Rev.A,2002,66:034302[10] Asoudeh M,Karimipour V.Phys.Rev.A,2005,71:02230[11] QIN Meng,TIAN Dong-Ping.Chinese Physics B,2009,19(04):1338-1341[12] MA Xiao-San,ZHANG Jia-Yan,CONG Hong-Shou et al.Science in China Series G-Physics Mechanics Astron,2008,51(12):1897-1904[13] WANG Fei,JIA Hong-Hui,ZHANG Hai-Liang et al.Science in China Series G-Physics Mechanics Astron,2009,52(12):1919-1924[14] ZHANG Jing-Fu,LONG Gui-Lu,ZHANG Wei et al.Phys.Rev.A,2005,72:012331[15] LIU Wen-Zhang,ZHANG Jing-Fu,LONG Gui-Lu.Chinese Science Bulletin,2009,54(22):4262-4265[16] WEI Da-Xiu,YANG Xiao-Dong,LUO Jun et al.Chinese Science Bulletin,2004,49(5):423-426[17] XI Xiao-Qiang,ZHANG Tao,YUE Rui-Hong.Science in China Series G-Physics Mechanics Astron,2008,51(10):1515-1522[18] HU Ming-Liang,TIAN Dong-Ping.Science in China Series G-Physics Mechanics Astron,2007,50(2):208-214[19] QIN Meng,TAO Ying-Juan,HU Ming-Liang et al.Science in China Series G-Physics Mechanics Astron.2008,51(7):817-822[20] LI Da-Chuang,CAO Zuo-Liang.Chin.Phys.Lett.,2009,26:2020309[21] Nielsen M A,1998,arXiv:quant-ph/0011036[22] Hill S,Wootters W K.Phys.Rev.Lett.,1997,78:5022[23] Wotters W K.Phys.Key.Lett.,1998,80:2245

[1]	Sheng-Qin Feng , Xin Ai , Lei Pei , Fei Sun , Yang Zhong , Zhong-Bao Yin . Estimation of the chiral magnetic effect considering the magnetic field response of the QGP medium. Chinese Physics C, 2018, 42(5): 054102. doi: 10.1088/1674-1137/42/5/054102
[2]	ZHONG Yang , YANG Chun-Bin , CAI Xu , FENG Sheng-Qin . Spatial distributions of magnetic field in the RHICand LHC energy regions. Chinese Physics C, 2015, 39(10): 104105. doi: 10.1088/1674-1137/39/10/104105
[3]	LI Dong-Fen , WANG Rui-Jin , ZHANG Feng-Li . Quantum information splitting of a two-qubit Bell state using a four-qubit entangled state. Chinese Physics C, 2015, 39(4): 043103. doi: 10.1088/1674-1137/39/4/043103
[4]	XU Shou-Yan , WANG Sheng , AN Yu-Wen , LI Zhi-Ping . Study on the effects of chromaticity and magnetic field tracking errors at CSNS/RCS. Chinese Physics C, 2014, 38(11): 117003. doi: 10.1088/1674-1137/38/11/117003
[5]	LIAN Han-Li . Loschmidt Echo of a central spin coupled to an XY spin chain：The role of the Dzyaloshinsky-Moriya interaction. Chinese Physics C, 2014, 38(7): 074102. doi: 10.1088/1674-1137/37/7/074102
[6]	JIA Xiang-Hong , JIA Shao-Xia , XU Feng , BAI Yan-Qiang , WAN Jun , LIU Hong-Tao , JIANG Rui , MA Hong-Bo , WANG Shou-Guo . Study of magnetic field expansion using a plasma generator for space radiation active protection. Chinese Physics C, 2013, 37(9): 098201. doi: 10.1088/1674-1137/37/9/098201
[7]	ZHOU Xia , KANG Miao , WANG Na . Effect of magnetic field decay on the chemical heating of cooling neutron stars. Chinese Physics C, 2013, 37(8): 085102. doi: 10.1088/1674-1137/37/8/085102
[8]	QIN Meng , WANG Xiao , LI Yan-Biao , BAI Zhong , LIN Shang-Jin . Effects of inhomogeneous magnetic fields and different Dzyaloshinskii-Moriya interaction on entanglement and teleportation in a two-qubit Heisenberg XY Z chain. Chinese Physics C, 2013, 37(11): 113102. doi: 10.1088/1674-1137/37/11/113102
[9]	ZHENG Qiang , ZHI Qi-Jun , ZHANG Xiao-Ping , REN Zhong-Zhou . Controllable entanglement sudden birth of Heisenberg spins. Chinese Physics C, 2011, 35(2): 135-138. doi: 10.1088/1674-1137/35/2/005
[10]	QIN Meng , LI Yan-Biao . Effect of spin-orbit interaction on entanglement of two-qutrit Heisenberg XYZ systems in an inhomogeneous magnetic field. Chinese Physics C, 2010, 34(4): 448-451. doi: 10.1088/1674-1137/34/4/005
[11]	ZHENG Qiang , SUN Ping , ZHANG Xiao-Ping , REN Zhong-Zhou . Controlling of entanglement sudden death induced by Dzyaloshinskii-Moriya interaction. Chinese Physics C, 2010, 34(10): 1583-1586. doi: 10.1088/1674-1137/34/10/006
[12]	LIU Jun , JIA Wen-Zhi , WANG Shun-Jin . Microscopic calculation of the magnetic field of neutron stars. Chinese Physics C, 2009, 33(9): 737-742. doi: 10.1088/1674-1137/33/9/005
[13]	QIN Meng , TIAN Dong-Ping . Bipartite entanglement in a two-qubit Heisenberg XXZ chain under aninhomogeneous magnetic field. Chinese Physics C, 2009, 33(4): 249-251. doi: 10.1088/1674-1137/33/4/002
[14]	MA Qiao-Sheng , WU Yong , FAN Zhi-Kai , GAN Yan-Qing , JIN Xiao , ZHOU Chuan-Ming . Experimental investigation of backward wave oscillator with low magnetic field. Chinese Physics C, 2008, 32(3): 222-226. doi: 10.1088/1674-1137/32/3/013
[15]	HU Ming-Liang , TIAN Dong-Ping . Bipartite entanglement in spin-1/2 Heisenberg model. Chinese Physics C, 2008, 32(4): 303-307. doi: 10.1088/1674-1137/32/4/013
[16]	QIN Meng , TAO Ying-Juan , TIAN Dong-Ping . Teleportation via thermally entangled states of a two-qubit Heisenberg XXZ chain. Chinese Physics C, 2008, 32(9): 710-713. doi: 10.1088/1674-1137/32/9/007
[17]	TIAN Dong-Ping , QIN Meng , TAO Ying-Juan , HU Ming-Liang . Impurity Entanglement in Spin-1 Heisenberg XX Chain. Chinese Physics C, 2007, 31(11): 1082-1085.
[18]	TIAN Dong-Ping , HU Ming-Liang . Dynamics of Multipartite Entanglement in the Heisenberg Model. Chinese Physics C, 2007, 31(5): 509-512.
[19]	TAO Ying-Juan , HU Ming-Liang , TIAN Dong-Ping , QIN Meng . Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity. Chinese Physics C, 2007, 31(10): 990-994.
[20]	HU Ming-Liang , TIAN Dong-Ping . Effects of the Next-Nearest-Neighbor Interaction on the Entanglement of the Heisenberg XX Chain. Chinese Physics C, 2006, 30(11): 1132-1136.

Access

Get Citation

QIN Meng, LI Yan-Biao, BAI Zhong, LIN Shang-Jin and LIU Wei. Entanglement in a two-qubit Heisenberg XXZ chain with different Dzyaloshinskii-Moriyacouplings and an inhomogeneous magnetic field[J]. Chinese Physics C, 2010, 34(11): 1693-1695. doi: 10.1088/1674-1137/34/11/004

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-01-25
Revised: 2010-03-28

Article Metric

Article Views(2942)
PDF Downloads(543)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Entanglement in a two-qubit Heisenberg XXZ chain with different Dzyaloshinskii-Moriyacouplings and an inhomogeneous magnetic field

Corresponding author: QIN Meng,

Received Date: 2010-01-25

Accepted Date: 2010-03-28

Available Online: 2010-11-05

Abstract:

Ground state entanglement and thermal entanglement of a two-qubit Heisenberg XXZ chain in the presence of the different Dzyaloshinski-Moriya interaction and inhomogeneous magnetic field are investigated. By the concept of concurrence, we find that the inhomogeneity of the magnetic field may make entanglement last for a long time and the critical temperature is dependent on J_z and b. The entanglement can be increased by increasing the temperature in some cases. We also find that the x-component parameter D_x has a higher critical temperature and more entanglement for a certain condition than the z-component parameter D_z.

HTML

Reference (1)

Entanglement in a two-qubit Heisenberg XXZ chain with different Dzyaloshinskii-Moriyacouplings and an inhomogeneous magnetic field

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article