Field Fluctuations in a Fabry-Pérot Cavity in Resonance with a Reservoir of Two-level Atoms: I. Adiabatic fluctuations

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Abstract
A canonical approach using variable mass parameters presented in an earlier paper is applied to the case of an electromagnetic field of slowly varying intensity in a cavity in the presence of a reservoir of resonant two-level atoms. The effect is to replace any cavity frequency y s by a reduced variable frequency z s (t). Calculations have been carried out for the changes in the atomic transition amplitudes that are produced by an externally imposed adiabatic change in the field intensity, or by a small low-frequency periodic fluctuation in the photon population which could be due to the Rabi flopping of the atoms.