Abstract Using the coherent state representation of Wigner operator and the technique of integration within an ordered product (IWOP) of operators, this paper derives the Wigner functions for the photon-depleted even and odd coherent states (PDEOCSs). Moreover, in terms of the Wigner functions with respect to the complex parameter $\alpha $ the nonclassical properties of the PDEOCSs are discussed. The results show that the nonclassicality for the state $\left| {\beta ,m} \right\rangle _{\rm o} $ (or $\left| {\beta ,m} \right\rangle _{\rm e} )$ is more pronounced when $m$ is even (or odd). According to the marginal distributions of the Wigner functions, the physical meaning of the Wigner functions is given. Further, the tomograms of the PDEOCSs are calculated with the aid of newly introduced intermediate coordinate-momentum representation in quantum optics.
Received: 09 July 2007
Revised: 02 August 2007
Accepted manuscript online:
PACS:
42.50.Ar
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10574060) and the
Natural Science Foundation of Shandong Province of China (Grant No
Y2004A09).
Cite this article:
Wang Ji-Suo(王继锁) and Meng Xiang-Guo(孟祥国) Wigner functions and tomograms of the photon-depleted even and odd coherent states 2008 Chin. Phys. B 17 1254
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