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

QUANTUM STATISTIC PROPERTIES OF NON-RESONANCE INTERACTION BETWEEN A THREE-LEVEL ATOM AND TWO MODE CAVITIES WITH KERR MEDIUM 

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 .对场的二阶相干度的研究表明 ,当δ1=δ2 时 ,模场 1始终呈现出反聚束效应 ;而模场 2却呈现了聚束效应与反聚束效应交替出现的现象 ;

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 (\%δ\% 1=\%δ\% 2), 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 Δ δ =| δ \-2- δ \-1|=0 and \%q\% and \%ξ\% remain unchanged, the non\|classical coherence degree is decreased with the increase of Kerr effect, and the value of Δ δ has an importance influence on the non\|classical coherence degree. The results also show that when δ \-1= δ \-2, the second\|order coherence degree of the cavity 1 shows g \+\{2\}\-\{11\}<1, but the second\|order coherence degree of cavity 2 shows g \+\{2\}\-\{22\}<1 or g\+\{2\}\-\{22\}>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.