利用纠缠态η〉表象下的维格纳算符,重构了奇偶对相干态的维格纳函数。根据维格纳函数在相空间中随变量ρ和γ的变化规律,讨论了奇偶对相干态的非经典性质和量子干涉效应。研究发现,奇偶对相干态总呈现非经典性质,并且当q取奇数时,奇偶对相干态更容易出现非经典性质。奇偶对相干态的量子干涉效应的显著程度与q取值有关,但对于q的同一取值,奇对相干态的量子干涉效应更为显著。利用纠缠态η〉表象下的维格纳算符Δ1,2(ρ,γ)和纠缠态η,τ1,τ2〉的投影算符之间满足的拉东变换,获得了奇偶对相干态的量子层析图函数。

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.