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

Journal of Physics B Atomic and Molecular Physics

Line strengths in spectra of saturated nearly resonant light scattering from collisionally perturbed atoms

Gerard Nienhuis, F Schuller

Published Nov 14, 1979• 10 citations
Publisher

Abstract

The authors apply the dressed-atom model to evaluate the spectrum of nearly resonant light scattering from atoms in a perturber gas. The intensity of the monochromatic incident light may be sufficiently high to cause saturation effects, and the detuning from resonance may be large enough to invalidate the impact limit. The results for a two-state or a three-state atom, which are valid in the limit that the lines in the scattered spectrum are well separated, generalise previous work that assumed either the impact or the low-intensity limit.

DOI
10.1088/0022-3700/12/21/006

Related papers

Collisional broadening of saturated resonance fluorescence spectra by two-state atoms irradiated by monochromatic light

Gerard Nienhuis, F Schuller

The authors derive an expression for the spectrum of fluorescence by a two-state atom in a perturber gas irradiated by nearly resonant monochromatic light of arbitrary intensity. The result is fully expressed in terms of the absorption profile that would be measured in a conventional low-intensity absorption experiment and of the rate of radiative and collisional transitions. The present result generalises previous work and the authors demonstrate that expressions obtained before in special cases are recovered by taking the appropriate limits.

Journal of Physics B Atomic and Molecular Physics•Jun 14, 1980•12 citations

Collisional broadening of resonance fluorescence with excitation by intense radiation of finite bandwidth

Gerard Nienhuis

A two-state atom in a perturber gas is irradiated by intense light with an arbitrary spectral profile. The authors derive a general expression for the fluorescence spectrum in terms of the conventional low-intensity absorption profile and the spectral density of the incident light. This result, which contains previous results as special limiting cases, describes the transition from the three-line fluorescence spectrum excited by intense monochromatic light and the power-broadened Lorentzian spectrum produced by broad-band excitation.

Journal of Physics B Atomic and Molecular Physics•Jun 14, 1980•9 citations

The effect of collisions on resonance fluorescence and Rayleigh scattering at high intensities

Jan Fiutak, Jan Van Kranendonk

The theory of the collisional and radiative relaxation of an atom perturbed by foreign-gas atoms in the presence of an intense monochromatic laser beam is developed. The spatial degeneracy of the levels and the reorientation effects of the collisions are included. The impact approximation is not made, but the Doppler effect is neglected. The spectrum of the fluorescent and scattered light is obtained from an eigenvalue problem in Liouville space using the dressed-atom approach and rotationally irreducible tensors. Minimal symmetry-adapted bases in Liouville space are constructed for linear, circular and elliptical incident polarisation. The method is illustrated for S 0 -P 1 transitions.

Journal of Physics B Atomic and Molecular Physics•Aug 14, 1980•33 citations

Elastic and inelastic collisional and radiative damping effects on saturated line shapes in the limit of well-separated spectral lines

B. R. Mollow

Resonant scattering of intense light is analyzed in the limit in which the separation of the spectral lines is large compared to their widths. The effect on the line intensities and widths of elastic and inelastic collisions in the impact approximation and of radiative damping is found. The limit of well-separated spectral lines allows simple solutions in a wide class of cases not easily treated outside this limit, in particular the case in which the upper laser-coupled state decays through a complicated cascade sequence to the lower laser-coupled ground state, or suffers collisional reorientation (depolarization) during the emission process.

Physical Review A•Mar 1, 1977•80 citations

Pure-state analysis of resonant light scattering: Radiative damping, saturation, and multiphoton effects

B. R. Mollow

A fully quantum-mechanical treatment of resonant light scattering is presented. The incident field is assumed to be described by a coherent state, and is allowed to be intense enough to cause saturation. Complete solutions are obtained for the correlated atom-field pure state vector, including multiphoton contributions of arbitrary order. The frequency spectrum of the scattered field is evaluated and is found to agree exactly with the result previously obtained by means of the quantum fluctuation-regression theorem. A derivation of the fluctuation-regression theorem and of the optical Bloch equations is given which is fully quantum mechanical and which relies upon no assumption of statistical factorization of atom and field states. The accuracy of the result found for the scattered - field spectrum is thus shown to be limited only by the assumption of the smallness of the saturated linewidth compared to the (optical) atomic resonance frequency. The one-photon approximation is analyzed in some detail. The method of adding an imaginary term to the upper-atomic-state energy is clarified, and it is shown how the vacuum and one-photon amplitudes thereby obtained may be used, within a simple and plausible iteration scheme, to construct the complete multiphoton spectrum. A variety of commonly used injection schemes and methods of representing atomic relaxation are discussed, and comparisons are made with results found by other authors. The entire analysis is performed with the aid of a canonical transformation which replaces the applied field by a $c$ number. It is thus proved quite rigorously and generally that the use of a $c$-number applied field is a fully quantum-mechanical procedure, provided only that radiation-reaction terms are retained.

Physical Review A•Nov 1, 1975•396 citations

Light scattering on theF= 1 →F′ = 0 transition in a cold and high density87Rb vapor

A. S. Sheremet, Igor M. Sokolov, Dmitriy V. Kupriyanov +3 more

We report an experimental study of near resonance light scattering on the component of the line in atomic . Experiments are performed on spatially bi-Gaussian ultracold gas samples having peak densities ranging from about – atoms/cm and for a range of resonance saturation parameters and detunings from atomic resonance. Time resolution of the scattered light intensity reveals the dynamics of light scattering, optical pumping, and saturation effects. The experimental line shape for optical excitation in steady state is found to be significantly narrower than that for the transition studied previously under similar conditions. This difference is qualitatively reproduced by a theoretical model of the two transitions at similar density.

Journal of Modern Optics•Jan 2, 2014•11 citations
The authors apply the dressed-atom model to evaluate the spectrum of nearly resonant light scattering from atoms in a perturber gas. The intensity of the monochromatic incident light may be sufficiently high to cause saturation effects, and the detuning from resonance may be large enough to invalidate the impact limit. The results for a two-state or a three-state atom, which are valid in the limit that the lines in the scattered spectrum are well separated, generalise previous work that assumed either the impact or the low-intensity limit.
The authors derive an expression for the spectrum of fluorescence by a two-state atom in a perturber gas irradiated by nearly resonant monochromatic light of arbitrary intensity. The result is fully expressed in terms of the absorption profile that would be measured in a conventional low-intensity absorption experiment and of the rate of radiative and collisional transitions. The present result generalises previous work and the authors demonstrate that expressions obtained before in special cases are recovered by taking the appropriate limits.
A two-state atom in a perturber gas is irradiated by intense light with an arbitrary spectral profile. The authors derive a general expression for the fluorescence spectrum in terms of the conventional low-intensity absorption profile and the spectral density of the incident light. This result, which contains previous results as special limiting cases, describes the transition from the three-line fluorescence spectrum excited by intense monochromatic light and the power-broadened Lorentzian spectrum produced by broad-band excitation.
The theory of the collisional and radiative relaxation of an atom perturbed by foreign-gas atoms in the presence of an intense monochromatic laser beam is developed. The spatial degeneracy of the levels and the reorientation effects of the collisions are included. The impact approximation is not made, but the Doppler effect is neglected. The spectrum of the fluorescent and scattered light is obtained from an eigenvalue problem in Liouville space using the dressed-atom approach and rotationally irreducible tensors. Minimal symmetry-adapted bases in Liouville space are constructed for linear, circular and elliptical incident polarisation. The method is illustrated for S 0 -P 1 transitions.
Resonant scattering of intense light is analyzed in the limit in which the separation of the spectral lines is large compared to their widths. The effect on the line intensities and widths of elastic and inelastic collisions in the impact approximation and of radiative damping is found. The limit of well-separated spectral lines allows simple solutions in a wide class of cases not easily treated outside this limit, in particular the case in which the upper laser-coupled state decays through a complicated cascade sequence to the lower laser-coupled ground state, or suffers collisional reorientation (depolarization) during the emission process.
A fully quantum-mechanical treatment of resonant light scattering is presented. The incident field is assumed to be described by a coherent state, and is allowed to be intense enough to cause saturation. Complete solutions are obtained for the correlated atom-field pure state vector, including multiphoton contributions of arbitrary order. The frequency spectrum of the scattered field is evaluated and is found to agree exactly with the result previously obtained by means of the quantum fluctuation-regression theorem. A derivation of the fluctuation-regression theorem and of the optical Bloch equations is given which is fully quantum mechanical and which relies upon no assumption of statistical factorization of atom and field states. The accuracy of the result found for the scattered - field spectrum is thus shown to be limited only by the assumption of the smallness of the saturated linewidth compared to the (optical) atomic resonance frequency. The one-photon approximation is analyzed in some detail. The method of adding an imaginary term to the upper-atomic-state energy is clarified, and it is shown how the vacuum and one-photon amplitudes thereby obtained may be used, within a simple and plausible iteration scheme, to construct the complete multiphoton spectrum. A variety of commonly used injection schemes and methods of representing atomic relaxation are discussed, and comparisons are made with results found by other authors. The entire analysis is performed with the aid of a canonical transformation which replaces the applied field by a ccc number. It is thus proved quite rigorously and generally that the use of a ccc-number applied field is a fully quantum-mechanical procedure, provided only that radiation-reaction terms are retained.
We report an experimental study of near resonance light scattering on the component of the line in atomic . Experiments are performed on spatially bi-Gaussian ultracold gas samples having peak densities ranging from about – atoms/cm and for a range of resonance saturation parameters and detunings from atomic resonance. Time resolution of the scattered light intensity reveals the dynamics of light scattering, optical pumping, and saturation effects. The experimental line shape for optical excitation in steady state is found to be significantly narrower than that for the transition studied previously under similar conditions. This difference is qualitatively reproduced by a theoretical model of the two transitions at similar density.