Abstract: The statistic properties of photon in the system of a two-mode entangled coherent state interacting with a Ξ-type three-level atom are investigated by solving Schr〖AKo¨D〗dinger equation and using numerical calculations. The effects on the statistic properties of photon induced by the degree of entanglement of the two-mode entangled coherent state, the ground st ate probability amplitude of the atomic initial state, the detuning, the atom-f ield coupling constant and the mean photon number are analyzed. The results indi cate that the influence of the degree of entanglement of the two-mode entangled coherent state on the statistic properties of photon is small. The increasing o f the ground state probability amplitude of the atomic initial state causes the center of the time evolution curve to move up distinctly. The increasing of the detuning results in the decrease of the oscillating frequency of the time evolution curve. The influences of the atom-field coupling constant and the mean photon number on the statistic properties of photon are noticeable. The correlation of the two modes of light is non-classical all the time.

Key words: quantum optics, two-mode entangled coherent state,