Velocity-selective population and quantum collapse-revival phenomena of the atomic motion for a motion-quantized Raman-coupled Jaynes-Cummings model.

Abstract

An extension of the standard Raman-coupled Jaynes-Cummings model has been made to include atomic external effects due to quantization of atomic motion. The collapse-and-revival phenomena in population inversion and in atomic motion, the velocity-selective population and their relation for a motion-quantized atom are given on the basis of a fundamental constant characterizing the interaction strength between the field modes and the atomic internal and external states. This study reveals how the initial statistics of atomic momentum affect the atomic internal dynamics and how those of the fields affect the atomic external dynamics through the atomic internal states. An exact expression for the time evolution of the density operator has been given for two fields and the center-of-mass motion initially in coherent states and in an arbitrary superposition of atomic momentum eigenstates. The statistics of atomic external and internal quantities such as the radiation force and the atomic momentum are given. \textcopyright{} 1996 The American Physical Society.