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Optica Acta International Journal of Optics

Modified Robertson Projection-operator Method for Coherently Driven Two-level Atoms in a Resonant Cavity

JOSIP SEKE

Published Dec 1, 1985• 1 citation
Publisher

Abstract

A modified Robertson projection-operator technique, developed by the author recently, is applied to a system of N two-level atoms driven by an external resonant field in a resonant cavity. An exact closed equation of motion for the collective atomic population inversion is derived.
DOI
10.1080/713821687

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We investigate properties of a two-level atom coupled to a single cavity mode, and driven by a strong, in general off-resonance, external field. The cavity field is tuned to resonance with a Mollow sideband. We show that the steady-state atomic population may be highly (nearly totally) inverted, a phenomenon forbidden in semiclassical theory, and that a strong enhancement of the resonance fluorescence results. This system is suggested as an alternative approach to create the atomic inversion necessary for laser or maser generation without using additional atomic levels. We also investigate properties of the cavity field, derive an analytical expression for the photon number distribution in the good cavity or strong-coupling limit, and discuss the conditions under which this system acts as a single-atom dressed-state laser.
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A quantum mechanical analysis of a two-level atom in a coherently driven optical cavity is shown to predict steady-state atomic population inversion. Semi-classically this is forbidden because of the factorization of operator-product expectation values. The full quantum theory is much richer and different field states may be correlated with different atomic states. One consequence is that damping of the cavity field allows atomic polarization to be transferred from higher to lower field states and thus steady-state inversion becomes possible.