The pure-state evolution of the atomic as well as the field states in the resonant two-photon Jaynes-Cummings model with the field initially in the coherent state is studied. Analytic expressions for various quantities involved are obtained under the large-n approximation. It is shown that the atom as well as the field are approximately in the pure state for gt =k~/4, where k is an integer and in a completely pure state for gt =k~. The field states generated at the times gt =km/4 are shown to be a quantum superposition of the coherent states for a particular choice of the relative phase. The interference between these states leads to a spiked photon-number distribution but the field is still Poissonian. PACS number(s): 42.50.p, 03.65.w The advent of experiments on single Rydberg atoms involving one-photon transitions in high-Q cavities [1,2] has opened up new possibilities of exploring nonclassical effects in the atom-field interaction. Some of these effects include vacuum-field Rabi oscillations [3], the collapses and revivals [4], and emission and cavity-field spectra [5], etc. Most of these studies are based upon the one-photon Jaynes-Cummings model (JCM). While these novel effects relate to the atom or field alone, it should be noted
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