Impact factor of Chinese Physics C is 3.6 in 2022 2021 Impact Factor 2.944
Advanced Search
Chinese Physics C> 2012, Vol. 36> Issue(4) : 311-315 DOI: 10.1088/1674-1137/36/4/003

The entanglement property in matrix product spin systems

  •  College of Optoelectronic Technology, Chengdu University of Information Technology, Chengdu 610225, China

  • We study the entanglement property in matrix product spin-ring systems systemically by von Neumann entropy. We nd that: (i) the Hilbert space dimension of one spin determines the upper limit of the maximal value of the entanglement entropy of one spin, while for multiparticle entanglement entropy, the upper limit of the maximal value depends on the dimension of the representation matrices. Based on the theory, we can realize the maximum of the entanglement entropy of any spin block by choosing the appropriate control parameter values. (ii) When the entanglement entropy of one spin takes its maximal value, the entanglement entropy of an asymptotically large spin block, i.e. the renormalization group fixed point, is not likely to take its maximal value, and so only the entanglement entropy Sn of a spin block that varies with size n can fully characterize the spin-ring entanglement feature. Finally, we give the entanglement dynamics, i.e. the Hamiltonian of the matrix product system.
      PCAS:
  • 加载中

  • References

    [1] Fannes M, Nachtergaele B, Werner R F. Commun. Math. Phys., 1992, 144: 4432 Verstraete F, Porras D, Cirac J I. Phys. Rev. Lett., 2004,93: 2272053 Garcia D P, Verstraete F, Wolf M M et al. arXiv: quantph/06081972v24 Asoudeh M, Karimipour V, Sadrolashra A. arXiv: quantph/0701160v55 Wolf M M, Ortiz G, Verstraete F et al. Phys. Rev. Lett.,2006, 97: 1104036 Asoudeh M, Karimipour V, Sadrolashra L A. Phys. Rev. B, 2007, 75: 2244277 Verstraete F, Cirac J I. arXiv: cond-mat/0505140; Osborne T J. arXiv: quant-ph/0508031; Hastings M B. arXiv:condmat/05085548 Greenberger D M, Horne M, Zeilinger A. Bell's Teorem, Quantum Theory and Conception of the Universe. Kluwer: Dordrecht, 19899 Briegel H J, Raussendorf R. Phys. Rev. Lett., 2001, 86:91010 A eck I, Kennedy T, Lieb E H et al. Commun. Math. Phys., 1988, 115: 47711 Klumper A, Schadschneider A, Zittartz J. J. Phys. A, 1991,24: L955; Z. Phys. B, 1992, 87: 28112 CAO Wan-Cang, LIU Dan, PAN Feng et al. Science in China Series G-Physics Mechanics Astron, 2006, 49(5): 60613 LIU Dan, ZHAO Xin, LONG Gui-Lu. Commun. Theor. Phys., 2010, 54: 825-828 (or arXiv: quant-ph/07053904)14 LIU Dan, ZHAO Xin, LONG Gui-Lu. Commun. Theor. Phys., 2008, 49: 32915 WU Hua, ZHAO Xin, LI Yan-Song et al. International Journal Of Quantum Information, 2010, 8(7): 1169-117716 Muralidharan S, Panigrahi P K. Phys. Rev. A, 2008, 77:03232117 Muralidharan S, Panigrahi P K. Phys. Rev. A, 2008, 78:06233318 Verstraete F, Cirac J I, Latorre J I et al. Phys. Rev. Lett.,2005, 94: 14060119 ZHU Jing-Min. Commun. Theor. Phys., 2010, 54(2): 373-37920 ZHU Jing-Min. Chin. Phys. Lett., 2008, 25(10): 3574-357721 ZHU Jing-Min. Chinese Physics C, 2011, 35(02): 144-14822 DONG Hui, LIU Xu-Feng, SUN Chang-Pu. Chinese Science Bulletin, 2010, 55(29): 3256-326023 AI Qing, WANG Ying-Dan, LONG Gui-Lu et al. Sci. China Ser. G, 2009, 52(12): 1898-190524 AI Qing, TAO Shi, LONG Gui-Lu et al. Phys. Rev. A,2008, 78: 022327

  • Access

    加载中

Get Citation
ZHU Jing-Min. The entanglement property in matrix product spin systems[J]. Chinese Physics C, 2012, 36(4): 311-315. doi: 10.1088/1674-1137/36/4/003
ZHU Jing-Min. The entanglement property in matrix product spin systems[J]. Chinese Physics C, 2012, 36(4): 311-315.  doi: 10.1088/1674-1137/36/4/003 shu
Milestone
Received: 2011-07-19
Revised: 2011-07-28
Article Metric

Article Views(1371)
PDF Downloads(520)
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

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

The entanglement property in matrix product spin systems

  • College of Optoelectronic Technology, Chengdu University of Information Technology, Chengdu 610225, China
  • Received Date: 2011-07-19
  • Accepted Date: 2011-07-28
  • Available Online: 2012-04-05

Abstract: We study the entanglement property in matrix product spin-ring systems systemically by von Neumann entropy. We nd that: (i) the Hilbert space dimension of one spin determines the upper limit of the maximal value of the entanglement entropy of one spin, while for multiparticle entanglement entropy, the upper limit of the maximal value depends on the dimension of the representation matrices. Based on the theory, we can realize the maximum of the entanglement entropy of any spin block by choosing the appropriate control parameter values. (ii) When the entanglement entropy of one spin takes its maximal value, the entanglement entropy of an asymptotically large spin block, i.e. the renormalization group fixed point, is not likely to take its maximal value, and so only the entanglement entropy Sn of a spin block that varies with size n can fully characterize the spin-ring entanglement feature. Finally, we give the entanglement dynamics, i.e. the Hamiltonian of the matrix product system.

    HTML

Reference (1)

目录

Link
IOPScience
SCOAP3
arXiv
Chinese Physical Society
Journal information
Introduction
Editorial Board
Others
Subscribe
Contact us
QQ: 1307685413
Tel: +86-010-88235947
Fax: +86-010-88233126
E-mail: cpc@ihep.ac.cn

  • CPC Website

  • IOP Website

  • CPC WeChat

Copyright © Institute of High Energy Physics, Chinese Academy of Sciences, 19B Yuquan Road, Beijing 100049, China 京ICP备05002789号-1

Supported by: Beijing Renhe Information Technology Co. Ltd  E-mail: info@rhhz.net

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return