Kerr 介质中三能级原子与双模场非共振相互作用的量子统计性质

研究了Kerr介质中双模场与V型三能级原子的非共振相互作用. 对Cauchy-Schwartz不等式的研究表明，在两模场失谐量相等(δ₁=δ₂)条件下，当初始场强ξ一定而两模场的光子数差q减小时，场的非经典相关程度加强；q一定而ξ增大时，场的非经典相关程度减弱. 当Δδ=|δ₂-δ₁|≠0且q和ξ的取值一定时，随介质常量x的增大，光场两模间的非经典相关程度减弱，且Δδ的大小对这种非经典相关程度的减弱有重要影响. 对场的关键词：Kerr介质非共振相互作用Cauchy-Schwartz不等式场的二阶关联函数

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 detunings of the two-mode cavities are equal (δ₁＝δ₂), when initial strength ξ 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 ξ is increased, the non-classical coherence degree between the two mode cavities is decreased. When Δδ=|δ₂-δ₁|=0 and q and ξ remain unchanged, the non-classical coherence degree is decreased with the increase of Kerr effect, and the value of Δδ has an importance influence on the non-classical coherence degree. The results also show that when δ₁=δ₂, the second-order coherence degree of the cavity 1 shows g²₁₁<1, but the second-order coherence degree of cavity 2 shows g²₂₂<1 or g²₂₂>1. On the other hand, the amplitude evolution of the second-order coherence degree of two-mode cavity is decreased due to the influence of Kerr effect.