Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity

TAO Ying-Juan; HU Ming-Liang; TIAN Dong-Ping; QIN Meng

Chinese Physics C> 2007, Vol. 31> Issue(10) : 990-994

Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity

School of Science, Xi'an Jiaotong University, Xi'an 710049, China2 Xi'an Institute of Post and Telecommunication, Xi'an 710061, China

Abstract
HTML
Reference
Related

PDF

Abstract：
We study the global bipartite entanglement of the three-qubit Heisenberg XXX spin chain with impurity. Through calculating the negativities N_1-23 and N_12-3, we show that the critical temperature T_c above which the entanglement vanishes increases with the increase of the impurity parameter J₁. For a given T, the corresponding critical impurity parameter J_1c below which the entanglement vanishes increases with the increase of the magnetic field B, and by adjusting J₁ and B one can control the values of N_1-23 and N_12-3. The maximum value of N_12-3 decreases from 0.5 to 0.3727 as the temperature rises, but the one of N_1-23 keeps the constant value of about 0.4714.

References

[1]

. Verstraete F, Martin-Delgado M A, Cirac J I. Phys. Rev.Lett., 2004, 92: 0872012. Vidal G, Latorre J I, Rico E et al. Phys. Rev. Lett., 2003,90: 2279023. Bennett C H, Brassard G, Crepeau C et al. Phys. Rev.Lett., 1993, 70: 1895-18994. YE Y, LIU T Q et al. J. Phys., 2005, A38: 3235-32435. Ekert A K. Phys. Rev. Lett., 1991, 67(6): 661-6636. Bennett C H. Phys. Rev. Lett., 1992, 69: 2881-28847. Dagmar Bru, DiVincenzo D P, Ekert A et al. Phys. Rev.,1998, A57: 2368-23788. Loss D, DiVincenzo D P. Phys. Rev., 1998, A57: 120-1269. Nielsen M A. 1998 Ph.D. Thesis, University of New Mexico10. WANG X G. Phys. Rev., 2002, A66: 03430211. WANG X G. Phys. Rev., 2001, A64: 01231312. WANG X G. Phys. Lett., 2001, A281: 10113. WANG X G, FU H, Solomon A I. J. Phys., 2001, A34:1130714. HU M L, TIAN D P. HEP NP, 2006, 30(11): 1132-113615. Canosa N, Rossignoli R. Phys. Rev., 2006, A73: 02234616. Zyczkowski K, Horodecki P, Samperm A. Phys. Rev., 1998,A58: 883-892

[1]	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
[2]	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
[3]	QIN Meng , LI Yan-Biao , BAI Zhong , LIN Shang-Jin , LIU Wei . Entanglement in a two-qubit Heisenberg XXZ chain with different Dzyaloshinskii-Moriyacouplings and an inhomogeneous magnetic field. Chinese Physics C, 2010, 34(11): 1693-1695. doi: 10.1088/1674-1137/34/11/004
[4]	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
[5]	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
[6]	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
[7]	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.
[8]	TIAN Dong-Ping , HU Ming-Liang . Dynamics of Multipartite Entanglement in the Heisenberg Model. Chinese Physics C, 2007, 31(5): 509-512.
[9]	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.
[10]	Ibrahim K , WANG Jia-Ou , SU Run , WU Zi-Yu , SONG Li , XIE Si-Shen , . X Ray Absorption Spectroscopy Study of Graphite and Contaminated Single Wall Carbon Nanotubes Using Surface Annealing Treatment. Chinese Physics C, 2003, 27(S1): 45-48.
[11]	Liu Yingtai , Liao Jizhi . Correction on the Energy Spectra of the O(6) Limit of IBM1 Containing af-Boson With Three-Body Potential. Chinese Physics C, 1999, 23(1): 59-64.
[12]	Duan Yiwu . Three-Body Model of ¹¹Li. Chinese Physics C, 1995, 19(1): 59-63.
[13]	Wen Wanxin , Dai Guangxi , Wu Heyu , He Zhiyong , Luo Qingzheng , Duan Limin , Cai Wei , Jin Genming , Li Zuyu , Zhang Baoguo , Qi Yujin . Tracks of Binary Decay. Chinese Physics C, 1995, 19(7): 598-602.
[14]	SUN Chang-Pu , PAN Lin , GE Mo-Lin . Effective topological action in Heisenberg spin model as Berry's phase. Chinese Physics C, 1992, 16(3): 202-207.
[15]	Sun Changpu , Pang Lin , Ge Molin . Effective Topological Action in Heisenberg Spin Model as Berry's Phase. Chinese Physics C, 1992, 16(S1): 51-56.
[16]	SU Gang , NIU Yun . THE CANONICAL TRANSFORMATION AND THE SPIN WAVE IN TWO DIMENSIONAL HEISENBERG ANTIFER-ROMAGNETIC SYSTEM. Chinese Physics C, 1990, 14(6): 500-503.
[17]	BAO Cheng-Guang , . SOLVING THE QUANTUM MECHANIC 5-BODY PROBLEMS. Chinese Physics C, 1988, 12(2): 273-276.
[18]	XU Yong-Xing , MA Ying-Jie . CALCULATION OF THE 3-DIMENSIONAL MAGNETIC FIELD BY USE OF THE MODIFIED SCALAR POTENTIAL. Chinese Physics C, 1984, 8(3): 370-373.
[19]	GOU Liang , HAO Chun . TWO-BODY DECAY OF THE PROTON. Chinese Physics C, 1983, 7(4): 437-442.
[20]	CHEN YONG-SHOU , ZHENG YU-MING , LU ZHAO-QI . THE SUB-BODY CORRELATION IN THE CHAIN-LIKE MOLECULAR STRUCTURE STATE. Chinese Physics C, 1979, 3(4): 494-500.

Access

Get Citation

TAO Ying-Juan, HU Ming-Liang, TIAN Dong-Ping and QIN Meng. Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity[J]. Chinese Physics C, 2007, 31(10): 990-994.

TAO Ying-Juan, HU Ming-Liang, TIAN Dong-Ping and QIN Meng. Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity[J]. Chinese Physics C, 2007, 31(10): 990-994. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2006-11-14
Revised: 2007-01-26

Article Metric

Article Views(2990)
PDF Downloads(594)
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

Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity

Corresponding author: TAO Ying-Juan,

School of Science, Xi'an Jiaotong University, Xi'an 710049, China2 Xi'an Institute of Post and Telecommunication, Xi'an 710061, China

Received Date: 2006-11-14

Accepted Date: 2007-01-26

Available Online: 2007-10-05

Abstract: We study the global bipartite entanglement of the three-qubit Heisenberg XXX spin chain with impurity. Through calculating the negativities N_1-23 and N_12-3, we show that the critical temperature T_c above which the entanglement vanishes increases with the increase of the impurity parameter J₁. For a given T, the corresponding critical impurity parameter J_1c below which the entanglement vanishes increases with the increase of the magnetic field B, and by adjusting J₁ and B one can control the values of N_1-23 and N_12-3. The maximum value of N_12-3 decreases from 0.5 to 0.3727 as the temperature rises, but the one of N_1-23 keeps the constant value of about 0.4714.

HTML

Reference (1)

Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article