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

Using the normally ordered Gaussian form of displaced-squeezed thermal field characteristic of average photon number n̄, we introduce the photon-added squeezed thermo state (PASTS) and investigate its statistical properties, such as Mandel’s Q-parameter, number distribution (as a Legendre polynomial), the Wigner function. We then 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 n̄ and the squeezing parameter r.