Time Evolution and Characteristic Quantities of Squeezed Chaotic Field in Diffusion Channel

In exploring the time evolution law of squeezed chaotic state, described by the density operator,, in a diffusion channel, we find two physical quantities characteristic of this physical process, they are where is average photon number of the chaotic field, r is the squeezing parameter and rho (0) in normal ordering is We find in the diffusion process, tau and oee integral evolves into where kappa represent diffusion coefficient, thus this is the evolution law of squeezed chaotic state in diffusion channel. The photon number of the final state slightly increases by an amount kappa t. This diffusion process can be considered a quantum controlling scheme in the way of photon addition by adjusting kappa.