中国物理B ›› 2011, Vol. 20 ›› Issue (5): 50510-050510.doi: 10.1088/1674-1056/20/5/050510

• GENERAL • 上一篇    下一篇

Chaos and quantum Fisher information in the quantum kicked top

王晓茜1 2, 马健2, 张喜和1, 王晓光2   

  1. (1)Department of Physics, Changchun University of Science and Technology, Changchun 130022, China; (2)Department of Physics, Changchun University of Science and Technology, Changchun 130022, China;Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China; (3)Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China
  • 收稿日期:2010-09-28 修回日期:2010-12-09 出版日期:2011-05-15 发布日期:2011-05-15
  • 基金资助:
    Project supported by National Natural Science Foundation of China (Grant Nos. 11025527, 10874151, and 10935010).

Chaos and quantum Fisher information in the quantum kicked top

Wang Xiao-Qian(王晓茜)a)b), Ma Jian(马健) b), Zhang Xi-He(张喜和)a), and Wang Xiao-Guang(王晓光)b)†   

  1. a Department of Physics, Changchun University of Science and Technology, Changchun 130022, China; b Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China
  • Received:2010-09-28 Revised:2010-12-09 Online:2011-05-15 Published:2011-05-15
  • Supported by:
    Project supported by National Natural Science Foundation of China (Grant Nos. 11025527, 10874151, and 10935010).

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摘要： Quantum Fisher information is related to the problem of parameter estimation. Recently, a criterion has been proposed for entanglement in multipartite systems based on quantum Fisher information. This paper studies the behaviours of quantum Fisher information in the quantum kicked top model, whose classical correspondence can be chaotic. It finds that, first, detected by quantum Fisher information, the quantum kicked top is entangled whether the system is in chaotic or in regular case. Secondly, the quantum Fisher information is larger in chaotic case than that in regular case, which means, the system is more sensitive in the chaotic case.

Abstract: Quantum Fisher information is related to the problem of parameter estimation. Recently, a criterion has been proposed for entanglement in multipartite systems based on quantum Fisher information. This paper studies the behaviours of quantum Fisher information in the quantum kicked top model, whose classical correspondence can be chaotic. It finds that, first, detected by quantum Fisher information, the quantum kicked top is entangled whether the system is in chaotic or in regular case. Secondly, the quantum Fisher information is larger in chaotic case than that in regular case, which means, the system is more sensitive in the chaotic case.

Key words: quantum information, quantum kicked top, quantum Fisher information, quantum chaos

中图分类号:  (Quantum chaos; semiclassical methods)

  • 05.45.Mt
03.65.Ud (Entanglement and quantum nonlocality) 06.20.Dk (Measurement and error theory)