Wigner function for the generalized excited pair coherent state

Meng Xiang-Guo, Ji‐Suo Wang, Liang Bao-Long, Hongqi Li · Chinese Physics B · 2008

This paper introduces the generalized excited pair coherent state (GEPCS). Using the entangled state |η〉 representation of Wigner operator, it obtains the Wigner function for the GEPCS. In the ρ-γ phase space, the variations of the Wigner function distributions with the parameters q , α, 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 |η 1 , η 2 , τ 1 , τ 2 〉. The entangled states |η〉 and η 1 , η 2 , τ 1 , τ 2 〉 provide two good representative space for studying the Wigner functions and tomograms of various two-mode correlated quantum states.

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