The time evolution of atomic occupancy in the system of twomode field interacting with two coupling atoms in Kerr medium is studied by means of quantum theory.The influences of the Kerr Medium and twomode field coupling constant χ,the initial average photon numbers n0 and the atomic initial state are discussed respectively.
The statistic properties of photons in the system of two-mode squeezing vacuum field interacting with two coupling atoms in Kerr medium are studied by means of quantum theory.The influences of coupling constant χ, initial squeezed parameter r and the atomic initial state are discussed. The results obtained by means of numerical method show that the photon bunching and anti-bunching appear alternately, and the correlation of the two modes of light is both positive and non-classical. The periodical collapse-revival phenomenon of the time evolution of the second-order coherence degree of the two-mode field appears due to the influence of the Kerr effect. The periods of the collapse-revival become short up to disappearance with increasing Kerr effect.