中国物理B ›› 2009, Vol. 18 ›› Issue (8): 3265-3270.doi: 10.1088/1674-1056/18/8/029

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Entanglement sudden death induced by the Dzialoshinskii--Moriya interaction

曾红芳, 邵彬, 杨林广, 李建, 邹健   

  1. Department of Physics, School of Sciences, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2008-10-14 修回日期:2008-12-02 出版日期:2009-08-20 发布日期:2009-08-20
  • 基金资助:
    Project supported by National Natural Science Foundation of China (Grant No 10374007).

Entanglement sudden death induced by the Dzialoshinskii--Moriya interaction

Zeng Hong-Fang(曾红芳), Shao Bin(邵彬)†, Yang Lin-Guang(杨林广), Li Jian(李建), and Zou Jian(邹健)   

  1. Department of Physics, School of Sciences, Beijing Institute of Technology, Beijing 100081, China
  • Received:2008-10-14 Revised:2008-12-02 Online:2009-08-20 Published:2009-08-20
  • Supported by:
    Project supported by National Natural Science Foundation of China (Grant No 10374007).

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摘要： In this paper, we study the entanglement dynamics of two-spin Heisenberg XYZ model with the Dzialoshinskii--Moriya (DM) interaction. The system is initially prepared in the Werner state. The effects of purity of the initial state and DM coupling parameter on the evolution of entanglement are investigated. The necessary and sufficient condition for the appearance of the entanglement sudden death (ESD) phenomenon has been deduced. The result shows that the ESD always occurs if the initial state is sufficiently impure for the given coupling parameter or the DM interaction is sufficiently strong for the given initial state. Moreover, the critical values of them are calculated.

Abstract: In this paper, we study the entanglement dynamics of two-spin Heisenberg XYZ model with the Dzialoshinskii--Moriya (DM) interaction. The system is initially prepared in the Werner state. The effects of purity of the initial state and DM coupling parameter on the evolution of entanglement are investigated. The necessary and sufficient condition for the appearance of the entanglement sudden death (ESD) phenomenon has been deduced. The result shows that the ESD always occurs if the initial state is sufficiently impure for the given coupling parameter or the DM interaction is sufficiently strong for the given initial state. Moreover, the critical values of them are calculated.

Key words: entanglement sudden death, concurrence, purity, Dzialoshinskii-Moriya interaction

中图分类号:  (Land transportation)

  • 89.40.Bb
02.50.Cw (Probability theory) 05.45.Tp (Time series analysis) 05.45.Xt (Synchronization; coupled oscillators) 45.70.Vn (Granular models of complex systems; traffic flow)