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Journal of Modern Optics

Cooperative Effects on Rabi Oscillations in a Damped Cavity

Sajid Mahmood, Muhammad Suhail Zubairy

Published Feb 1, 1990• 5 citations
Publisher

Abstract

Exact closed equations of motion for the population inversion of two two-level atoms interacting with the vacuum field inside a damped resonant cavity are derived. Numerical results exhibiting the effect of cooperation on the dynamics of the atoms are presented. In particular, single-atom Rabi oscillations are studied under the influence of another atom for various coupling strengths.

DOI
10.1080/09500349014550311

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Exact closed equations of motion for the population inversion of two two-level atoms interacting with the vacuum field inside a damped resonant cavity are derived. Numerical results exhibiting the effect of cooperation on the dynamics of the atoms are presented. In particular, single-atom Rabi oscillations are studied under the influence of another atom for various coupling strengths.
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We predict a large cooperative effect involving two-atom two-photon vacuum Rabi oscillations in a high-quality cavity. The two-photon emission occurs as a result of simultaneous deexcitation of both atoms with two-photon resonance condition ${\ensuremath{\omega}}_{1}+{\ensuremath{\omega}}_{2}\ensuremath{\approx}{\ensuremath{\omega}}_{a}+{\ensuremath{\omega}}_{b}$, where ${\ensuremath{\omega}}_{1}$,${\ensuremath{\omega}}_{2}$ are the atomic transition frequencies and ${\ensuremath{\omega}}_{a}$,${\ensuremath{\omega}}_{b}$ are the frequencies of the emitted photons. The actual resonance condition depends on the vacuum Rabi couplings. The effect can be realized either with identical atoms in a bimodal cavity or with nonidentical atoms in a single-mode cavity.