Acta Optica Sinica, Volume. 28, Issue 3, 549(2008)
Wigner Functions and Tomogram Functions of Even and Odd Pair Coherent States
With the entangled state η〉 representation of the Wigner operator, Wigner functions for even and odd pair coherent states (EOPCs) are reconstructed. In terms of variations of Wigner functions with the parameters ρ and γ in the phase space, nonclassical properties and quantum interference effects of EOPCSs are discussed. It is found that EOPCSs always exhibit nonclassical properties, especially when q is odd. Quantum interference effects of EOPCSs depend on the value of q, but for a fixed q quantum interference effects of the odd pair coherent state are more prominent. Based on the Radon transform between the entangled state η〉 representation and the project operator of the entangled state η,τ1,τ2〉, the quantum tomogram functions for the EOPCSs are obtained.
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Meng Xiangguo, Wang Jisuo, Liang Baolong. Wigner Functions and Tomogram Functions of Even and Odd Pair Coherent States[J]. Acta Optica Sinica, 2008, 28(3): 549