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We propose a scheme to generate arbitrary Fock states |N> in a cavity QEDusing N resonant Rydberg atoms. The atom-field interaction times are controlledvia Stark-shifts adjusted in a way that each atom transfers a photon to thecavity, turning atomic detections useless. Fluctuations affecting the controlof the atom-field interactions are also considered.

Generation of arbitrary Fock states via resonant interactions in cavity QED