增光子奇偶相干态的Wigner函数

Wigner function for the photon-added even and odd coherent state

利用相干态表象下的Wigner算符,重构了增光子奇偶相干态的Wigner函数.根据此Wigner函数在相空间中随复变量α的变化关系,讨论了增光子奇偶相干态的非经典性质.结果表明,增光子奇偶相干态总可呈现非经典性质,且在m取奇(或偶)数时,增光子偶(或奇)相干态更容易出现非经典性质.根据增光子奇偶相干态的Wigner函数的边缘分布,阐明了此Wigner函数的物理意义.同时,利用中介表象理论获得了增光子奇偶相干态的量子tomogram函数.

Using the coherent state representation of the Wigner operator, the Wigner function for the photon-added even and odd coherent state （PAEOCS） is obtained. In terms of the variations of the Wigner function with the complex parameter α in the phase space, the non-classical properties of the PAEOCS are discussed. It is found that the PAEOCS always exhibits the nonclassical properties, and the photon-added even （or odd） coherent state exhibits the non-classical properties more easily when m is odd （or even）. By virtue of the marginal distributions of the Wigner function for the PAEOCS, we illuminate the physical meaning of the Wigner function. Finally, based on the intermidate coordinate-momentum presentation the quantum tomogram function for the PAEOCS is obtained.