Chin. Phys. Lett.  2007, Vol. 24 Issue (8): 2167-2169    DOI:
Original Articles |
General Properties of Thermal Entanglement in an Arbitrary-Length Heisenberg Spin Chain
ZHANG Ting;WU Wei;CHEN Ping-Xing;LI Cheng-Zu
Department of Physics, Science College, National University of Defense Technology, Changsha 410073
Cite this article:   
ZHANG Ting, WU Wei, CHEN Ping-Xing et al  2007 Chin. Phys. Lett. 24 2167-2169
Download: PDF(214KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract We investigate general properties of thermal entanglement in arbitrary-length 1D Heisenberg spin-1/2 chain based on classifications of its eigenstates. The influences of magnetic field and temperature on entanglement are qualitatively discussed and three features are presented. The conclusions hold for both bipartite and multipartite entanglement, and are in agreement with the results numerically proven by Arnesen et al. [Phys. Rev. Lett. 59(2001)017901].
Keywords: 03.65.Ud      75.10.Jm     
Received: 16 April 2007      Published: 25 July 2007
PACS:  03.65.Ud (Entanglement and quantum nonlocality)  
  75.10.Jm (Quantized spin models, including quantum spin frustration)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2007/V24/I8/02167
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
ZHANG Ting
WU Wei
CHEN Ping-Xing
LI Cheng-Zu
[1] Einstein A, Podolsky B and Rosen N 1935 Phys. Rev. 47 777
[2] Schrodinger E 1935 Naturwissenschaften 23 807
[3] Bell J S 1964 Physics 1 195
[4] Nielsen M A and Chuang I L 2000 Quantum Computation and QuantumInformation (Cambridge: Cambridge University Press)
[5] Bennett C H and DiVincenzo D P 2000 Nature 404 247
[6] Mattis D C 1965 The Theory of Magnetism (New York:Harper and Row)
[7] Thompson C J 1972 Phase Transitions and CriticalPhenomena ed Domb C and Green M S (London: Academic)
[8] Takahashi M 1999 Thermodynamics of One-Dimensional SolvableModels (Cambridge: Cambridge University Press)
[9] Hammar P R, Stone M B and Reich D H 1999 Phys. Rev. B 59 1008
[10] Arnesen M C, Bose S and Vedral V 2001 Phys. Rev. Lett. 87 017901
[11] Wang X G and Zanardi P 2002 Phys. Lett. A 301 1(2002)
[12] Wang X G 2002 Phys. Rev. A 66 034302
[13] O'Connore K M and Wootters W K 2001 Phys. Rev. A 63 052302
[14] Wang X G 2004 Phys. Lett. A 329 439
[15] Asoudeh M and Karimipour V 2005 Phys. Rev. A 71 022308
[16] Rossignoli R and Canosa N 2005 Phys. Rev. A 72 012335
[17] Brukner \u{C and Vedral V Preprint quant-ph/0406040
[18] Wie\'{sniak M, Vedral V and Brukner\u{C Preprintquant-ph/0503037
[19] Zhou L,Yi X X,Song H S and Guo Y Q 2005 Chin. Phys. 14 1168
[20] Osborne T L and Nielsen M A 2002 Phys. Rev. A 66 032110
[21] Yeo Y, Liu T, Lu Y E and Yang Q Z 2005 J. Phys. A: Math.Gen. 38 3235
[22] Bethe H A 1931 Z. Phys. 71 205
[23] Zachary N C Ha 1996 Quantum Many-Body System in OneDimension (Singapore: World Scientific)
[24] Karbach M and Muller G Preprint cond-mat/9809162 Karbach M, Hu K and Muller G Preprint cond-mat/9809163,0008018
[25] Horodecki M, Horodecki P and Horodecki R 1996 Phys.Lett. A 223 1 Terhal B M 2002 J. Therm. Comput. Sci. 287 313
Related articles from Frontiers Journals
[1] REN Jie, WU Yin-Zhong, ZHU Shi-Qun. Quantum Discord and Entanglement in Heisenberg XXZ Spin Chain after Quenches[J]. Chin. Phys. Lett., 2012, 29(6): 2167-2169
[2] SHAN Chuan-Jia,**,CAO Shuai,XUE Zheng-Yuan,ZHU Shi-Liang. Anomalous Temperature Effects of the Entanglement of Two Coupled Qubits in Independent Environments[J]. Chin. Phys. Lett., 2012, 29(4): 2167-2169
[3] LI Hong-Rong**,ZHANG Pei,GAO Hong,BI Wen-Ting,ALAMRI M. D.,LI Fu-Li. Non-Equilibrium Quantum Entanglement in Biological Systems[J]. Chin. Phys. Lett., 2012, 29(4): 2167-2169
[4] GE Rong-Chun, LI Chuan-Feng, GUO Guang-Can. Spin Dynamics in the XY Model[J]. Chin. Phys. Lett., 2012, 29(3): 2167-2169
[5] M. Ramzan. Decoherence and Multipartite Entanglement of Non-Inertial Observers[J]. Chin. Phys. Lett., 2012, 29(2): 2167-2169
[6] Piotr Zawadzki**. New View of Ping-Pong Protocol Security[J]. Chin. Phys. Lett., 2012, 29(1): 2167-2169
[7] LI Jun-Gang, **, ZOU Jian, **, XU Bao-Ming, SHAO Bin, . Quantum Correlation Generation in a Damped Cavity[J]. Chin. Phys. Lett., 2011, 28(9): 2167-2169
[8] ZHU Ren-Gui** . Frustrated Ferromagnetic Spin Chain near the Transition Point[J]. Chin. Phys. Lett., 2011, 28(9): 2167-2169
[9] ZHANG Ai-Ping**, QIANG Wen-Chao, LING Ya-Wen, XIN Hong, YANG Yong-Ming . Geometric Phase for a Qutrit-Qubit Mixed-Spin System[J]. Chin. Phys. Lett., 2011, 28(8): 2167-2169
[10] QIAN Yi, XU Jing-Bo** . Quantum Discord Dynamics of Two Atoms Interacting with Two Quantized Field Modes through a Raman Interaction with Phase Decoherence[J]. Chin. Phys. Lett., 2011, 28(7): 2167-2169
[11] Abbass Sabour, Mojtaba Jafarpour** . A Probability Measure for Entanglement of Pure Two-Qubit Systems and a Useful Interpretation for Concurrence[J]. Chin. Phys. Lett., 2011, 28(7): 2167-2169
[12] TIAN Li-Jun, **, QIN Li-Guo, ZHANG Hong-Biao . Entanglement of Two-Superconducting-Qubit System Coupled with a Fixed Capacitor[J]. Chin. Phys. Lett., 2011, 28(5): 2167-2169
[13] QIU Liang . Nonlocality Sudden Birth and Transfer in System and Environment[J]. Chin. Phys. Lett., 2011, 28(3): 2167-2169
[14] Sudha, **, B. G. Divyamani, A. R. Usha Devi, . Loss of Exchange Symmetry in Multiqubit States under Ising Chain Evolution[J]. Chin. Phys. Lett., 2011, 28(2): 2167-2169
[15] ZHA Xin-Wei**, MA Gang-Long . Classification of Four-Qubit States by Means of a Stochastic Local Operation and the Classical Communication Invariant[J]. Chin. Phys. Lett., 2011, 28(2): 2167-2169
Viewed
Full text


Abstract