Chin. Phys. Lett.  2007, Vol. 24 Issue (9): 2475-2478    DOI:
Original Articles |
Thermal Entanglement of Anisotropic XY Chains in a Transverse Field
ZHAI Xiao-Yue1,2;TONG Pei-Qing1
1Department of Physics, Nanjing Normal University, Nanjing 2100972Institute of Science, PLA University of Science and Technology, Nanjing 210007
Cite this article:   
ZHAI Xiao-Yue, TONG Pei-Qing 2007 Chin. Phys. Lett. 24 2475-2478
Download: PDF(325KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

By using the concept of concurrence, we numerically investigate the
thermal entanglement between any two nearest-neighbour spins in uniform
and periodic anisotropic XY chains in a transverse field at finite
temperature T. It is found that the entanglement has more than one
critical temperatures on some parameter regions for uniform and periodic
chains. We also discuss the behaviour of the thermal entanglement at the
vicinity of quantum phase transition of periodic anisotropic XY chains
and find that all the derivatives ∂λ have similar behaviour as that of the uniform chain.

Keywords: 03.67.-a      03.65.Ud      05.50.+q      75.10.Jm     
Received: 01 April 2007      Published: 16 August 2007
PACS:  03.67.-a (Quantum information)  
  03.65.Ud (Entanglement and quantum nonlocality)  
  05.50.+q (Lattice theory and statistics)  
  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/I9/02475
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
ZHAI Xiao-Yue
TONG Pei-Qing
[1] Bouwmeester D, Ekert A and Zeilinger A (ed) 2000 ThePhysics of Quantum Information (Berlin: Springer)
[2] Bennett C H et al 1996 Phys. Rev. A 54 3824
[3] Bennett C H et al 1996 Phys. Rev. Lett. 76 722
[4] Wootters W K 2001 Quantum Inf. Comput. 1 27
[5] Hill S and Wootters W K 1997 Phys. Rev. Lett. 78 5022 Wootters W K 1998 Phys. Rev. Lett. 80 2245
[6] Osborne T J and Nielsen M A 2002 Phys. Rev. A 66032110
[7] Vidal G et al 2003 Phys. Rev. Lett. 90 227902
[8] Gu S J et al 2003 Phys. Rev. A 68 042330
[9] Wang X G 2001 Phys. Rev. A 64 012313
[10] Arnesen M C et al 2001 Phys. Rev. Lett. 87 017901
[11] Gu S J et al 2004 Phys. Rev. A 70 052302
[12] Kamta G L and Starace A F 2002 Phys. Rev. Lett. 88 107901
[13] Amico L and Patane D 2007 Europhys. Lett. 77 17001
[14] Tong P Q and Zhong M 2002 Phys. Rev. B 65 064421 Tong P Q and Zhong M 2001 Physica B 304 91
[15] Zhang L F and Tong P Q 2005 J. Phys. A: Math. Gen. 38 1
[16] Lieb E et al 1961 Ann. Phys. (N.Y.) 16 407
Related articles from Frontiers Journals
[1] 天琦 窦,吉鹏 王,振华 李,文秀 屈,舜禹 杨,钟齐 孙,芬 周,雁鑫 韩,雨晴 黄,海强 马. A Fully Symmetrical Quantum Key Distribution System Capable of Preparing and Measuring Quantum States*

Supported by the Fundamental Research Funds for the Central Universities (Grant No. 2019XD-A02), and the State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications (Grant No. IPO2019ZT06).

[J]. Chin. Phys. Lett., 2020, 37(11): 2475-2478
[2] LIU Kui, CUI Shu-Zhen, YANG Rong-Guo, ZHANG Jun-Xiang, GAO Jiang-Rui. Experimental Generation of Multimode Squeezing in an Optical Parametric Amplifier[J]. Chin. Phys. Lett., 2012, 29(6): 2475-2478
[3] 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): 2475-2478
[4] XIANG Shao-Hua**,DENG Xiao-Peng,SONG Ke-Hui. Protection of Two-Qubit Entanglement by the Quantum Erasing Effect[J]. Chin. Phys. Lett., 2012, 29(5): 2475-2478
[5] 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): 2475-2478
[6] QIAN Yi,XU Jing-Bo**. Enhancing Quantum Discord in Cavity QED by Applying Classical Driving Field[J]. Chin. Phys. Lett., 2012, 29(4): 2475-2478
[7] 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): 2475-2478
[8] Arpita Maitra, Santanu Sarkar. On Universality of Quantum Fourier Transform[J]. Chin. Phys. Lett., 2012, 29(3): 2475-2478
[9] QIN Meng, ZHAI Xiao-Yue, CHEN Xuan, LI Yan-Biao, WANG Xiao, BAI Zhong. Effect of Spin-Orbit Interaction and Input State on Quantum Discord and Teleportation of Two-Qubit Heisenberg Systems[J]. Chin. Phys. Lett., 2012, 29(3): 2475-2478
[10] GE Rong-Chun, LI Chuan-Feng, GUO Guang-Can. Spin Dynamics in the XY Model[J]. Chin. Phys. Lett., 2012, 29(3): 2475-2478
[11] M. Ramzan. Decoherence and Multipartite Entanglement of Non-Inertial Observers[J]. Chin. Phys. Lett., 2012, 29(2): 2475-2478
[12] Piotr Zawadzki**. New View of Ping-Pong Protocol Security[J]. Chin. Phys. Lett., 2012, 29(1): 2475-2478
[13] GU Shi-Jian**, WANG Li-Gang, WANG Zhi-Guo, LIN Hai-Qing. Repeater-Assisted Zeno Effect in Classical Stochastic Processes[J]. Chin. Phys. Lett., 2012, 29(1): 2475-2478
[14] LI Jun-Gang, **, ZOU Jian, **, XU Bao-Ming, SHAO Bin, . Quantum Correlation Generation in a Damped Cavity[J]. Chin. Phys. Lett., 2011, 28(9): 2475-2478
[15] YU You-Bin**, WANG Huai-Jun, FENG Jin-Xia . Generation of Enhanced Three-Mode Continuously Variable Entanglement[J]. Chin. Phys. Lett., 2011, 28(9): 2475-2478
Viewed
Full text


Abstract