中国物理B ›› 2010, Vol. 19 ›› Issue (2): 24210-024210.doi: 10.1088/1674-1056/19/2/024210

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Partial entropy change and entanglement in the mixed state for a Jaynes－Cummings model with Kerr medium

张玉青, 谭磊, 朱中华, 熊祖周, 刘利伟   

  1. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
  • 收稿日期:2009-06-08 修回日期:2009-06-15 出版日期:2010-02-15 发布日期:2010-02-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No.~10704031), the National Science Foundation for Fostering Talents in Basic Research of the National Natural Science Foundation of China (Grant No.~J0630313), the Fundamental Research Fund for Physics and Mathematics of Lanzhou University (Grant No.~Lzu05001), and the Natural Science Foundation of Gansu Province, China (Grant No.~3ZS061-A25-035).

Partial entropy change and entanglement in the mixed state for a Jaynes－Cummings model with Kerr medium

Zhang Yu-Qing(张玉青), Tan Lei(谭磊)†, Zhu Zhong-Hua(朱中华), Xiong Zu-Zhou(熊祖周), and Liu Li-Wei(刘利伟)   

  1. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
  • Received:2009-06-08 Revised:2009-06-15 Online:2010-02-15 Published:2010-02-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10704031), the National Science Foundation for Fostering Talents in Basic Research of the National Natural Science Foundation of China (Grant No. J0630313), the Fundamental Research Fund for Physics and Mathematics of Lanzhou University (Grant No. Lzu05001), and the Natural Science Foundation of Gansu Province, China (Grant No. 3ZS061-A25-035).

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摘要： By using the algebraic dynamical approach, an atom--field bipartite system in mixed state is employed to investigate the partial entropy change and the entanglement in a cavity filled with Kerr medium. The effects of different nonlinear intensities are studied. One can find that the Kerr nonlinearity can reduce the fluctuation amplitudes of the partial entropy changes and the entanglement of the two subsystems, and also influence their periodic evolution. Meanwhile, increasing the Kerr nonlinear strength can convert the anti-correlated behaviour of the partial entropy change to the positively correlated behaviour. Furthermore, the entanglement greatly depends on the temperature. When the temperature or the nonlinear intensity increases to a certain value, the entanglement can be suppressed greatly.

Abstract: By using the algebraic dynamical approach, an atom--field bipartite system in mixed state is employed to investigate the partial entropy change and the entanglement in a cavity filled with Kerr medium. The effects of different nonlinear intensities are studied. One can find that the Kerr nonlinearity can reduce the fluctuation amplitudes of the partial entropy changes and the entanglement of the two subsystems, and also influence their periodic evolution. Meanwhile, increasing the Kerr nonlinear strength can convert the anti-correlated behaviour of the partial entropy change to the positively correlated behaviour. Furthermore, the entanglement greatly depends on the temperature. When the temperature or the nonlinear intensity increases to a certain value, the entanglement can be suppressed greatly.

Key words: entanglement, algebraic dynamical method, Jaynes--Cummings model, Kerr medium

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv
32.80.-t (Photoionization and excitation) 42.50.Ct (Quantum description of interaction of light and matter; related experiments) 42.65.Hw (Phase conjugation; photorefractive and Kerr effects)