| First, we review the entanglement and the distribution characters of three kind of two-mode non-Gaussian sates (multiple-photon subtraction on two-mode squeezed coherent states, photon-added SU (2) coherent state, photon-added pair coherent state),explore how the photon addition (distribution) affects the quantum optical quality.Next, we take advantage of different parameters of the two cavity electro-optic modulators to get two kinds of Hamiltonian: the beam-splitter like Hamiltonian and the parametric amplification like Hamiltonian. In this paper, we study the two-mode non-Gaussian coupling with two microwave modes, respectively, in two cavity electro-optic systems. We give the photon distribution characters of the four modes,the entanglement and the correlations of every two modes. We discuss the influence of the average number of the photons in the microwave modes of the entanglement and the correlations of every two modes. We analyze the advantages and disadvantages of different parameters of the two cavity electro-optic modulators.We find the beam-splitter like Hamiltonian can transmit the photon distribution characters, while the average number of the photon in the microwave modes does not influence the optimal value of the sub-Poisson’s distribution. The parametric amplification like Hamiltonian can’t transmit the photon distribution character.And the violation of the Cauchy-Schwarz inequality can transmit through the beam-like Hamitonian, and the temperature does not influence the value at the half cycle, which is equal to the value of the two optic modes. The character of the violation of the Cauchy-Schwarz inequality cannot transmit through the parametric amplification like Hamiltonian, but can be generated.We find the beam-splitter like Hamiltonian can transmit the entanglement, while the average number of the photons in the microwave modes does not influence the value at the half cycle, which is equal to the value of the two optic modes. When the optical mode exhibits the sub-Poissonian, the Hamiltonian generate the entanglement,which is easily affected by the temperature. The parametric amplification like Hamiltonian can generate good entanglement. |