Abstract
The Jaynes-Cummings model (JMC) and its extended are the few exactly soluble models in quantum optics. Many interesting effects are predicted. But in all of the studies on this topic, quantizing of atomic momentum and position can not be included so that the dynamics of atomic external degrees of freedom can not be discussed. In realistic situations, one does experiments in cavities with the atomic beam at the almost same velocity and hence, one should know how the dynamics of this model is affected by the atomic external degrees of freedom and its initial states. In this paper, we quantize the atomic momentum and position, obtain the exact results for the time dependence of various physical quantities such as the momentum, radiation force and momentum diffusion. predict some new phenomena including quantum collapse and revivals of atomic external degree of freedom, and discuss the effects of initial atomic momentum diffusion.
© 1996 Optical Society of America
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