Analytical solution for the spectrum of resonance fluorescence of a cooperative system of two atoms and the existence of additional sidebands

Abstract

The analytical solution for the spectrum of resonance fluorescence from a collective system of two atoms is presented. It is shown that the spectrum is a decreasing function of frequency in the neighborhood $\ensuremath{\omega}\ensuremath{-}{\ensuremath{\omega}}_{L}=\ifmmode\pm\else\textpm\fi{}2\ensuremath{\Omega}$ ($\ensuremath{\Omega}$ is the Rabi frequency) for moderately large $\ensuremath{\Omega}$ and exhibits resonant structure only for extremely large $\ensuremath{\Omega}\ensuremath{\approx}100\ensuremath{\gamma}$. For moderately large $\ensuremath{\Omega}$ the resonant contributions at $\ensuremath{\omega}\ensuremath{-}{\ensuremath{\omega}}_{L}=\ifmmode\pm\else\textpm\fi{}2\ensuremath{\Omega}$ are destroyed by the nonresonant contributions; hence the additional structures at $\ifmmode\pm\else\textpm\fi{}2\ensuremath{\Omega}$ can be resolved only by filtering the nonresonant contributions.