Thermo Entangled State Representation Characteristic Function Representation And Solution Of Quantum Master Equation

Firstly, the Fan’s technique of Integration Within an Ordered Product (IWOP) of Operators and entangled state representation are briefly reviewed, And introduces the master equation for solve the thermal environment field density operator of the thermal entangled state representation theory. On this basis, we focus on the evolution rule of some quantum optical field with the amplitude dissipative channel and laser channel. The contents include the following aspects.1. For the first time, using the characteristic function method we solved the master equation in the dissipative channel and diffusion channel quantum respectively, The time evolution of the light field density function were obtained.2. For the first time, using IWOP technology we strictly proved the consistency operator in the thermal reservoir model of the transition matrix elements of the Hamiltonian for time evolution for dissipative channel master equation for the density operator Kraus operator and system-heat reservoir.3. For the first time, using IWOP technology we found the evolution of negative binomial states in the dissipative channel, and the attenuation rule of sign the quantum state coefficient were found.4. On the basis of the above study, further study the degeneracy parametric amplifier (DPA) optical field in quantum dissipative channel evolution. The problem in the previous literature are not involved, here we first give the partition function. Then in order to solve the density operator evolution, the evolution of optical field antinormal product form first, and then convert the normal product form and make comparisons, and ultimately to the photon number distribution and evolution, and finally,we make an analysis of the properties of light field. The above discussion helps to understand the physical mechanism about the decoherence of quantum dissipation.In the course of the study, we full use of thermal environment field density operator of the thermal entangled state representation theory and the integration technology of left and right arrow operator.