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We present a theoretical scheme based on su(2) algebra to investigate theinfluence of homogeneous gravitational field on the quantum nondemolitionmeasurement of atomic momentum in dispersive Jaynes-Cummings model. In thedispersive Jaynes-Cummings model, when detuning is large and the atomic motionis in a propagating light wave, we consider a two-level atom with quantizedcavity-field in the presence of a homogeneous gravitational field. We derive aneffective Hamiltonian describing the dispersive atom-field interaction in thepresence of gravitational field. We can see gravitational influence both on themomentum filter and momentum distribution. Moreover, gravitational fielddecreases both tooth spacing of momentum and the width of teeth of momentum.Comment: 21 pages, 8 figure

Influence of the gravitational field on the quantum-nondemolition measurement of atomic momentum in the dispersive Jaynes–Cummings model