Quantum statistic properties of non-resonance interaction between a three-level atom and two mode cavities with Kerr medium

We have studied the non-resonance interaction between a V-type three-level atom and two-mode cavity with Kerr medium. The results show that if the det unings of the two-mode cavities are equal (delta(1)= delta(2)), when initia l strength xi of the two cavities remains unchanged and photon difference q of the two mode cavities is decreased, the non-classical coherence degree between the two mode cavities is increased; when q remains unchanged and xi is increased, the non-classical coherence degree between the two mode cavi ties is decreased. When Delta delta s = /delta(2) - delta(1)/ = 0 and q and xi remain unchanged, the non-classical coherence degree is decreased with the increase of Kerr effect, and the value of Delta delta has an importance influence on the non-classical coherence degree. The results also show tha t when delta(1)= delta(2), the second-order coherence degree of the cavity 1 shows g(11)(2) < 1, but the second-order coherence degree of cavity 2 sho ws g(22)(2) < 1 or g(22)(2) > 1. On the other hand, the amplitude evolution of the second-order coherence degree of two-mode cavity is decreased due t o the influence of Kerr effect.