Photon-added chaotic field and its damping in a thermo environment

We propose a new photon field in quantum field theory, named Laguerre-polynomial-weighted chaotic field. This field will emerge when an initial photon-added chaotic field, which is represented by its density operator (1/s!)(1 - e^λ)^s+1a^†se^λa†aa^s, dissipates in an amplitude damping channel described by time evolution equation dρ(t)/dt = κ(2aρa^† - a^†aρ - ρa^†a), where κ is a damping coefficient, that is, the initial field will evolve into (1/T){[(1 - e^λ)T]/(1 - Te^λ)}^s+1 : L_s{(a^†ae^-2κt)/[Te^λ - 1)T]}exp[(e^λ - 1)/(1 - Te^λ)a^†a] : with T = 1 - e^-2κt, where L_s is the s-order Laguerre-polynomial, and : : denotes normal ordering. We employ the method of summation within an ordered product of operators to obtain our result. (author)