中国物理B ›› 2009, Vol. 18 ›› Issue (2): 604-610.doi: 10.1088/1674-1056/18/2/036

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Wigner functions and tomograms of the even and odd binomial states

张晓燕, 王继锁, 孟祥国, 苏杰   

  1. School of Physics Science and Information Engineering, Liaocheng University, Liaocheng 252059, China
  • 收稿日期:2008-07-18 修回日期:2008-08-13 出版日期:2009-02-20 发布日期:2009-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10574060) and the Natural Science Foundation of Shandong Province, China (Grant No Y2008A23).

Wigner functions and tomograms of the even and odd binomial states

Zhang Xiao-Yan(张晓燕), Wang Ji-Suo(王继锁)†, Meng Xiang-Guo(孟祥国), and Su Jie(苏杰)   

  1. School of Physics Science and Information Engineering, Liaocheng University, Liaocheng 252059, China
  • Received:2008-07-18 Revised:2008-08-13 Online:2009-02-20 Published:2009-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10574060) and the Natural Science Foundation of Shandong Province, China (Grant No Y2008A23).

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摘要： Using the coherent state representation of Wigner operator and the technique of integration within an ordered product (IWOP) of operators, the Wigner functions of the even and odd binomial states (EOBSs) are obtained. The physical meaning of the Wigner functions for the EOBSs is given by means of their marginal distributions. Moreover, the tomograms of the EOBSs are calculated by virtue of intermediate coordinate-momentum representation in quantum optics.

Abstract: Using the coherent state representation of Wigner operator and the technique of integration within an ordered product (IWOP) of operators, the Wigner functions of the even and odd binomial states (EOBSs) are obtained. The physical meaning of the Wigner functions for the EOBSs is given by means of their marginal distributions. Moreover, the tomograms of the EOBSs are calculated by virtue of intermediate coordinate-momentum representation in quantum optics.

Key words: even and odd binomial states, integration within an ordered product (IWOP) technique, Wigner function, marginal distribution

中图分类号: 

  • 42.50.Ar
03.65.Db (Functional analytical methods) 02.50.Ng (Distribution theory and Monte Carlo studies)