Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review Letters

Additional Sidebands in Cooperative Resonance Fluorescence

H. J. Carmichael

Published Oct 8, 1979• 56 citations
Publisher

Abstract

Fluorescent spectra for two, three, four, and five atoms in a volume of dimension less than the resonant wavelength have been obtained numerically. For high laser intensities, resonances displaced from line center by twice the Rabi frequency are found in addition to the usual Stark sidebands.
DOI
10.1103/physrevlett.43.1106

Related papers

Additional sidebands due to cooperative interaction in a spatially distributed collection of two-level atoms driven by a resonant laser field

Y. Ben-Aryeh, Charles M. Bowden

The fluorescence spectrum of a system of a large number of two-level atoms driven by a strong resonant field has been treated, so far, for atoms contained in a region that is small compared to a wavelength. For high laser intensities resonances displaced from the line center by twice the Rabi frequency were predicted1-3 in addition to the usual Stark sidebands.4 We show that the explicit spatial distribution of the two-level atoms affects the shape of the radiation spectra and leads to the appearance of additional sidebands.

Journal of the Optical Society of America B•Feb 1, 1986•0 citations

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

G. S. Agarwal, Ragini Saxena, Lorenzo M. Narducci +2 more

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.

Physical Review A•Jan 1, 1980•66 citations

Vacuum modified resonance fluorescence in intense laser fields

Christoph H. Keitel

Resonance fluorescence is considered for a two-level atom in an intense laser field with a Rabi frequency that is an appreciable fraction of the transition frequency of the atom. The dressed sideband transitions then feel a significantly different density of modes of the vacuum, giving rise to substantial deviations from the common resonance fluorescence spectrum for reasonably strong driving fields.

Journal of Modern Optics•Aug 1, 1996•24 citations

Appearance Of Sidebands in Cooperative Resonance Fluorescence in Intense Laser-Pumped Three-Level System

Chi C. Sung, C. M. Bowden

Springer eBooks•Jan 1, 1984•0 citations

Dipole-dipole-interacting two-level emitters in a moderately intense laser field

P. Bardetski, Mihai Macovei

We investigate the resonance fluorescence features of a small ensemble of closely packed and moderately laser-pumped two-level emitters at resonance. The mean distance between any two-level radiators is smaller than the corresponding emission wavelength, such that the dipole-dipole interactions are not negligible. We have found that under the secular approximation, the collective resonance fluorescence spectrum consists of 2 N + 1 spectral lines, where N is the number of emitters from the sample. The 2 N spectral sidebands, symmetrically located around the generalized Rabi frequency with respect to the central line at the laser frequency, are distinguishable if the dipole-dipole coupling strength is larger than the collective spontaneous decay rate. This way, one can estimate the radiators number within the ensemble via measuring of the spontaneously scattered collective resonance fluorescence spectrum. Contrarily, if the dipole-dipole coupling is of the order of or smaller than the cooperative spontaneous decay rate, but still non-negligible, the spectrum turns into a Mollow-like fluorescence spectrum, where the two sidebands' spectral lines broaden proportional to the dipole-dipole coupling strength. Published by the American Physical Society 2024

arXiv:2403.15193•Physical Review A•Oct 29, 2024•1 citation

Sidebands in cooperative resonance fluorescence in collections of N three-level atoms in strong excitation laser fields

Chi C. Sung, C. M. Bowden

Optics Communications•Apr 1, 1983•13 citations
The fluorescence spectrum of a system of a large number of two-level atoms driven by a strong resonant field has been treated, so far, for atoms contained in a region that is small compared to a wavelength. For high laser intensities resonances displaced from the line center by twice the Rabi frequency were predicted1-3 in addition to the usual Stark sidebands.4 We show that the explicit spatial distribution of the two-level atoms affects the shape of the radiation spectra and leads to the appearance of additional sidebands.
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.
We investigate the resonance fluorescence features of a small ensemble of closely packed and moderately laser-pumped two-level emitters at resonance. The mean distance between any two-level radiators is smaller than the corresponding emission wavelength, such that the dipole-dipole interactions are not negligible. We have found that under the secular approximation, the collective resonance fluorescence spectrum consists of 2 N + 1 spectral lines, where N is the number of emitters from the sample. The 2 N spectral sidebands, symmetrically located around the generalized Rabi frequency with respect to the central line at the laser frequency, are distinguishable if the dipole-dipole coupling strength is larger than the collective spontaneous decay rate. This way, one can estimate the radiators number within the ensemble via measuring of the spontaneously scattered collective resonance fluorescence spectrum. Contrarily, if the dipole-dipole coupling is of the order of or smaller than the cooperative spontaneous decay rate, but still non-negligible, the spectrum turns into a Mollow-like fluorescence spectrum, where the two sidebands' spectral lines broaden proportional to the dipole-dipole coupling strength. Published by the American Physical Society 2024