Impurity Entanglement in Spin-1 Heisenberg XX Chain

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

Chinese Physics C> 2007, Vol. 31> Issue(11) : 1082-1085

Impurity Entanglement in Spin-1 Heisenberg XX Chain

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

Abstract
HTML
Reference
Related

PDF

Abstract：
We investigate the impurity entanglement of the ground states and the thermal states at finite temperature for a three-qutrit system of the Heisenberg XX model in the presence of a uniform magnetic field. As a measure of the entanglement, negativity of the state is analyzed in detail as a function of the impurity parameter, temperature and magnetic fields. Magnetic fields are mainly to reduce entanglement. Impurity parameter plays an important role in enhancing the entanglement and improving the critical temperature. We can use them to control entanglement.

References

[1]

. Mattle K et al. Phys. Rev. Lett., 1996, 76: 46562. Schumacher B. Phys. Rev., 1995, A51: 27383. Kim Y H, Kulik S P, Shih Y. Phys. Rev. Lett., 2001, 86: 13704. Ekert A K. Phys. Rev. Lett., 1991, 67: 6615. Deutsch D, Ekert A, Jozsa R et al. Phys. Rev. Lett., 1996, 77: 28186. Nielsen M A. American: University of New Mexico, 19987. Arnesen M C, Bose S, Vedral V M. Phys. Rev. Lett., 2001, 87: 0179018. WANG X G. Phys. Rev., 2002, A66: 0343029. Connor K M O, Wooters W K. Phys. Rev., 2001, A63: 05230210. Asoudeh M, Karimipour V. Phys. Rev., 2005, A71: 0223011. XI Xiao-Qiang, CHEN Wen-Xue, LIU Qi et al. Acta Phys. Sin., 2006, 55: 3026 (in Chinese)(惠小强, 陈文学, 刘起等. 物理学报, 2006, 55: 3026)12. HU Ming-Liang, TIAN Dong-Ping. HEP NP, 2006,30(11): 1132-1136(in Chinese)(胡明亮, 田东平.高能物理与核物理, 2006, 30(11): 1132-1136)13. William K W. Phys. Rev. Lett., 1998, 80: 224514. Vidal G, Werner R F. Phys. Rev., 2002, A65: 03231415. ZHOU L, Y X X, SONG H S et al. quant-ph/031016916. WANG X, LI H B, SUN Z et al. quant-ph/050103217. Canosa N, Rossignoli R. Phys. Rev., 2006, A73: 02234718. Andreas L, Mila F, Karlo P. Phys. Rev. Lett., 2006, 97: 08720519. HAO X, ZHU S Q. Phys. Rev., 2005, A72: 04230620. TAO Y J, HU M L, TIAN D P et al. Global Bipartite Entanglement in the Impurity Three-Qubit Heisenberg XXX Spin Chain. HEP NP, 2007, 31(10): 990(in Chinese)(陶应娟, 胡明亮, 田东平等. 含杂质三最子位Heisenberg XXX链的全局两体纠缠, 高能物理与核物理, 2007, 31(10): 990)21. TIAN Dong-Ping, HU Ming-Liang. HEP NP, 2007, 3(5):509-512(in Chinese)(田东平, 胡明亮. 高能物理与核物理, 2007, 3(5): 509-512)22. Lieb E, Schultz T, Mattis D. Ann. Phys. NY, 1961, 16: 40723. Privman V, Vagner I D, Kventsel G. quant-ph/970701724. ZHENG S B, GUO G C. Phys. Rev. Lett., 2000, 85: 2392

[1]	ZHANG Zhen-Xia , LIU Hong-Bang , WU Ning , YU Guo-Wei , SHEN Xiao-Yan , ZHENG Han-Qing . Search for exotic state 1^－+ π₁(1400) at BESⅢ. Chinese Physics C, 2008, 32(11): 857-861. doi: 10.1088/1674-1137/32/11/001
[2]	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.
[3]	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.
[4]	ZHAO Xiu-Mei , CAO Li-Ke , YANG Tao , YUE Rui-Hong . Integrability of a Quantum Derivative Nonlinear Schrodinger Model for Spin-1/2 Particle. Chinese Physics C, 2004, 28(9): 936-940.
[5]	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.
[6]	ZHOU Shu-Hua , ZHU Li-Hua , XIA Hai-Hong , ZHU Xiao-Feng , WU Xiao-Guang , HOU Long , YANG Chun-Xiang , LIU Zu-Hua . Experimental Study of Spin-Flip M1 Transition of ⁷_ΛLi. Chinese Physics C, 2000, 24(S1): 81-86.
[7]	Shi Kangiie , Li Guangliang , Fan Heng , Hou Boyu . Polyparametioner Solution to the Renflection Equationin the A_n－1⁽¹⁾ Face Model. Chinese Physics C, 1999, 23(12): 1163-1170.
[8]	Dong Baoguo , Shen Caiwan , Chen Yoagshou . Study of Odd-A Tm Isotopic Chain Properties of Decoupling parameter of [411 1/2] Band. Chinese Physics C, 1997, 21(9): 838-843.
[9]	Zhang Qingying , Feng Mang , Chen Xiaolin , Wang Baolin . Applications of 1/N Expansion Technique. Chinese Physics C, 1996, 20(3): 252-258.
[10]	Dong Yubing . Study of the Effect of Polarized Sea Quark Pairs on the Spin-Dependent Structures of Nucleon. Chinese Physics C, 1996, 20(2): 175-181.
[11]	Xie Wenfang , Bao Chengguang . Effect of Symmetry on Structure of 3-Fermion Systems With Spin S=1/2. Chinese Physics C, 1996, 20(1): 92-96.
[12]	SHEN Qixing , YU Hong . Determination of the Spin-parity of the Boson Resonance X for the Process J/ψ→V₁+X,X→γ+V₂. Chinese Physics C, 1993, 17(11): 988-992.
[13]	SHEN Qi-Xing , YU Hong . Determining the Spin and Parity of Particle X for the Process J/ψ→V₁,X→V₂+V₃ by Using the Generalized Moment Analysis Method. Chinese Physics C, 1993, 17(6): 503-510.
[14]	Zheng Bo , Guo Shuohong . A Solvable 1 + 1 Dimensional U(l) gauge model. Chinese Physics C, 1990, 14(S1): 65-69.
[15]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE 1+1-DIMENSIONAL U(1) GAUGE THEORY. Chinese Physics C, 1990, 14(2): 152-155.
[16]	YAN Wu-Guang , YU Hong . THE ANGULAR DISTRIBUTION FOR THE PROCESS e⁺e^－→J/ψ→γB,B→P₁P₂ AND THE SPIN ANALYSIS OF B. Chinese Physics C, 1989, 13(3): 234-240.
[17]	ZHU Zhong-Yuan , ZHANG Bo . TADPOLE DIAGRAM,ΔI=1/2 ENHANCEMENT AND ε′/ε. Chinese Physics C, 1988, 12(1): 50-54.
[18]	WANG Yuan , ZHUANG Qin . THE ENERGY SPECTRA OF 1f_7/2 SHELL NUCLEI WITH NONIDENTICAL NUCLEONS CONFIGURATION AND THE TWO BODY SPIN-ORBIT COUPLING FORCES. Chinese Physics C, 1985, 9(5): 618-621.
[19]	WAN Wu-Yi , LIU Rong-Guang , LIU Jie , LI Ru-Bai , DU Yun-He , ZHOU Jie , XIE Pei-Pei , DONG Xue-Sheng . 1m×1m LARGE SCALE DRIFT CHAMBER. Chinese Physics C, 1983, 7(2): 269-272.
[20]	HE JU , ZHANG ZHAO-XI , HE ZUO-XIU . THE APPROXIMATE B-S WAVE FUNCTION FOR ELECTROMAGNETIC BOUND STATES CONSISTING OF A FERMION AND AN ANTI-FERMION OF SPIN 1/2. Chinese Physics C, 1979, 3(6): 688-696.

Access

Get Citation

TIAN Dong-Ping, QIN Meng, TAO Ying-Juan and HU Ming-Liang. Impurity Entanglement in Spin-1 Heisenberg XX Chain[J]. Chinese Physics C, 2007, 31(11): 1082-1085.

TIAN Dong-Ping, QIN Meng, TAO Ying-Juan and HU Ming-Liang. Impurity Entanglement in Spin-1 Heisenberg XX Chain[J]. Chinese Physics C, 2007, 31(11): 1082-1085. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2006-12-22
Revised: 2007-05-19

Article Metric

Article Views(3331)
PDF Downloads(695)
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

Impurity Entanglement in Spin-1 Heisenberg XX Chain

Corresponding author: QIN Meng,

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

Received Date: 2006-12-22

Accepted Date: 2007-05-19

Available Online: 2007-11-05

Abstract: We investigate the impurity entanglement of the ground states and the thermal states at finite temperature for a three-qutrit system of the Heisenberg XX model in the presence of a uniform magnetic field. As a measure of the entanglement, negativity of the state is analyzed in detail as a function of the impurity parameter, temperature and magnetic fields. Magnetic fields are mainly to reduce entanglement. Impurity parameter plays an important role in enhancing the entanglement and improving the critical temperature. We can use them to control entanglement.

HTML

Reference (1)

Impurity Entanglement in Spin-1 Heisenberg XX Chain

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article