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.
Received: 18 July 2008
Revised: 13 August 2008
Accepted manuscript online:
Fund: 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).
Cite this article:
Zhang Xiao-Yan(张晓燕), Wang Ji-Suo(王继锁), Meng Xiang-Guo(孟祥国), and Su Jie(苏杰) Wigner functions and tomograms of the even and odd binomial states 2009 Chin. Phys. B 18 604
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