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 $\omega -{\omega }_L=\pm 2\Omega$ ($\Omega$ is the Rabi frequency) for moderately large $\Omega$ and exhibits resonant structure only for extremely large $\Omega \approx 100\gamma$. For moderately large $\Omega$ the resonant contributions at $\omega -{\omega }_L=\pm 2\Omega$ are destroyed by the nonresonant contributions; hence the additional structures at $\pm 2\Omega$ can be resolved only by filtering the nonresonant contributions.