AbstractThis paper introduces the generalized excited pair coherent state (GEPCS). Using the entangled state $|\eta\rangle$ representation of Wigner operator, it obtains the Wigner function for the GEPCS. In the $\rho$--$\gamma$ phase space, the variations of the Wigner function distributions with the parameters $q$, $\alpha$, $k$ and $l$ are discussed. The tomogram of the GEPCS is calculated with the help of the Radon transform between the Wigner operator and the projection operator of the entangled state $|\eta_1, \eta_2, \tau_1, \tau_2\rangle$. The entangled states $|\eta\rangle$ and $|\eta_1, \eta_2, \tau_1, \tau_2$ provide two good representative space for studying the Wigner functions and tomograms of various two-mode correlated quantum states.
Received: 30 August 2007
Revised: 08 November 2007
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 of China (Grant No
Y2004A09).
Cite this article:
Meng Xiang-Guo(孟祥国), Wang Ji-Suo(王继锁), Liang Bao-Long(梁宝龙), and Li Hong-Qi(李洪奇) Wigner function for the generalized excited pair coherent state 2008 Chin. Phys. B 17 1791
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