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When an atom (or some other two-level system ) is illuminated by a coherent beam of photons, it will cyclically absorb photon and re-emit them by stimulated emission. One such cycle is called a Rabi cycle and the inverse of its duration the Rabi frequency of the photon beam.
This mechanism is fundamental to quantum optics. It can be modelled using the Jaynes-Cummings model and the Bloch vector formalism.
The name is in reference to Isidor Isaac Rabi.