Photon-added squeezed thermal states: Statistical properties and its decoherence in a photon-loss channel

In this paper, we introduce the photon-added squeezed thermal state (PASTS), the excitation of displaced-squeezed chaotic field, and investigate its statistical properties, such as Mandel's Q-parameter, number distribution (as a Legendre polynomial), the Wigner function (WF). The way we study it is using the normally ordered Gaussian form of displaced-squeezed thermal field characteristic of average photon-number n¯. Then we study its decoherence in a photon-loss channel in term of the negativity of WF by deriving the analytical expression of WF for PASTS. It is found that the WF with single photon-added is always partial negative for the arbitrary values of n¯ and the squeezing parameter r.