标题： 用于光子增加（-减少）压缩热态的归一化和光子数分布的新方法 显示英文标题

标题： New approach for normalization and photon-number distributions of photon-added (-subtracted) squeezed thermal states

摘要： 使用热场动力学理论将热态转换为双倍福克空间中的“纯”态，发现压缩热态（STS）下 e^{fa^{{\dag }}a}的平均值正是勒让德多项式的生成函数，这是一个显著的结果。 基于此观点，m 光子增加（或减少）的 STS 的归一化和光子数分布可以方便地表示为勒让德多项式。 这种方法可以扩展到纠缠情况。 显示英文摘要

摘要： Using the thermal field dynamics theory to convert the thermal state to a "pure" state in doubled Fock space, it is found that the average value of e^{fa^{{\dag}}a} under squeezed thermal state (STS) is just the generating function of Legendre polynomials, a remarkable result. Based on this point, the normalization and photon-number distributions of m-photon added (or subtracted) STS are conviently obtained as the Legendre polynomials. This new concise method can be expanded to the entangled case.