中国物理B ›› 2008, Vol. 17 ›› Issue (3): 794-800.doi: 10.1088/1674-1056/17/3/010

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Entanglement control in one-dimensional s=1/2 random XY spin chain

单传家1, 程维文1, 刘堂昆1, 黄燕霞1, 李宏1, 夏云杰2   

  1. (1)Department of Physics, Hubei Normal University, Huangshi 435002, China; (2)epartment of Physics, Qufu Normal University, Qufu 273165,China
  • 收稿日期:2007-06-09 修回日期:2007-09-24 出版日期:2008-03-04 发布日期:2008-03-04
  • 基金资助:
    Project supported by the Key Higher Education Program of Hubei Province, China (Grant No Z20052201), Natural Science Foundation of Hubei Province, China (Grant No 2006ABA055) and Postgraduate Program of Hubei Normal University of China (Grant No 2007D20).

Entanglement control in one-dimensional s=1/2 random XY spin chain

Shan Chuan-Jia(单传家)a)†, Cheng Wei-Wen(程维文)a), Liu Tang-Kun(刘堂昆)a), Huang Yan-Xia(黄燕霞)a), Li Hong(李宏)a), and Xia Yun-Jie(夏云杰)b)   

  1. a Department of Physics, Hubei Normal University, Huangshi 435002, China; b College of Physics and Engineering, Qufu Normal University, Qufu 273165, China
  • Received:2007-06-09 Revised:2007-09-24 Online:2008-03-04 Published:2008-03-04
  • Supported by:
    Project supported by the Key Higher Education Program of Hubei Province, China (Grant No Z20052201), Natural Science Foundation of Hubei Province, China (Grant No 2006ABA055) and Postgraduate Program of Hubei Normal University of China (Grant No 2007D20).

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摘要： The entanglement in one-dimensional random XY spin systems where the impurities of exchange couplings and the external magnetic fields are considered as random variables is investigated by solving the different spin--spin correlation functions and the average magnetization per spin. The entanglement dynamics near particular locations of the system is also studied when the exchange couplings (or the external magnetic fields) satisfy three different distributions (the Gaussian distribution, double-Gaussian distribution, and bimodal distribution). We find that the entanglement can be controlled by varying the strength of external magnetic field and the distributions of impurities. Moreover, the entanglement of some nearest-neighbouring qubits can be increased for certain parameter values of the three different distributions.

关键词: the entanglement, spin chain, spin--spin correlation function, Gaussian distribution

Abstract: The entanglement in one-dimensional random XY spin systems where the impurities of exchange couplings and the external magnetic fields are considered as random variables is investigated by solving the different spin--spin correlation functions and the average magnetization per spin. The entanglement dynamics near particular locations of the system is also studied when the exchange couplings (or the external magnetic fields) satisfy three different distributions (the Gaussian distribution, double-Gaussian distribution, and bimodal distribution). We find that the entanglement can be controlled by varying the strength of external magnetic field and the distributions of impurities. Moreover, the entanglement of some nearest-neighbouring qubits can be increased for certain parameter values of the three different distributions.

Key words: the entanglement, spin chain, spin--spin correlation function, Gaussian distribution

中图分类号:  (Spin chain models)

  • 75.10.Pq
75.10.Jm (Quantized spin models, including quantum spin frustration) 75.30.Et (Exchange and superexchange interactions) 75.30.Hx (Magnetic impurity interactions) 75.60.Ej (Magnetization curves, hysteresis, Barkhausen and related effects)