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研究了Bargman指标为k=1/4和k=3/4的两种SU(1,1)相干态光场的特性,证明了两种相干态具有不同的量子统计特性,并讨论了光场初始处于SU(1,1)相干态时,双光子Jaynes-Cummings(J-C)模型中,原子的动力学行为及粒子数反转随时间的演化,证明了与初始一般相干态光场不同,原子展现出特殊的周期振荡和脉冲行为。In this paper, we study the properties of two kinds of SU(1,1) coherent states of light with Bargman index k=1/4 and k=3/4 and show that they posses different quantum statistical properties. The atomic dynamical behavior in a two-photon Jaynes-Cummings model with initial SU(1,1)coherent state field are discussed. We show that the time evolution of atomic inversion displays peculiar periodic oscillation and pulse which are very different from coherent states of light.
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