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 Experimental and Theoretical Physics Letters

Resonance fluorescence of localized multiatomic ensembles

Leonid V. Il'ichov, A. V Taychenachev

Published Dec 1, 2014• 0 citations
Publisher

Abstract

The issue of fluorescing multiatomic ensembles is addressed in a somewhat unconventional fashion. We are concerned with the case of an ensemble being localized within a volume small compared to the wavelength. Collective phenomena in resonance fluorescence make its analytical description problematic. We employ the representation due to Holstein and Primakoff of atomic pseudo-spin operators. When the dispersion of the number of excited atoms is small, the kinetic equation turns into that for an effective quantum photonic mode. The new equation is nonlinear. Its stationary solution can easily be found nevertheless. The motion of two fluorescing ensembles is considered as well. Their interaction appears to have geometric nature.

DOI
10.1134/s0021364014190059

Related papers

Localization of a small collection of fluorescing atoms

Mihai Macovei, Jörg Evers, Muhammad Suhail Zubairy

We describe a scheme capable of localizing an ensemble of interacting two-level atoms. The atoms are assumed to be bunched together in a volume much smaller than an emission wavelength, and they interact with a standing wave laser field. Due to the laser-pumping of the atomic sample, it collectively emits fluorescence light with properties depending on the ensemble position in the standing wave. This relation can be described by a fluorescence intensity profile, which depends on the standing wave field parameters, the ensemble properties, and which is modified due to collective effects in the ensemble of nearby particles. We demonstrate that the intensity profile can be tailored to suit different localization setups.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jun 7, 2007•0 citations

Collective Atomic Dynamics in Resonance Fluorescence

Andrew I. Trubilko, Ashat M. Basharov

A new collective effect has been revealed in resonance fluorescence: the side and central components of the triplet in the emission spectrum of an atomic ensemble excited by an intense coherent field are narrowed in the case of the critical number of atoms in the ensemble.

Journal of Experimental and Theoretical Physics Letters•Jun 1, 2020•5 citations

Theory of resonance fluorescence from a gas of identical two level atoms

Haider R. Zaidi

A Green's function formulation of the problem of resonance fluorescence from a system of identical two level atoms is presented. The general formulation is suitable for the investigation of a variety of nonlinear phenomena, e.g., propagation of electromagnetic waves inside the medium, fluorescence from a finite medium, optical bistability, atomic correlations, and additional side bands. Translational motion, collisions, Coulomb dipole–dipole interaction, excitation transfer, and local field corrections are also included in the basic equations. The effect of atom–atom correlations in the relaxation mechanism (radiative or collisional) is also taken into account. Finally, the results are also presented in the "generalized dressed atom" (GDA) representation. Applications of the general theory will be given in a future paper.

Canadian Journal of Physics•Feb 1, 1983•2 citations

Resonance fluorescence spectrum in a two-band photonic bandgap crystal

Ray‐Kuang Lee, Yinchieh Lai

Steady state resonance fluorescence spectra from a two-level atom embedded in a photonic bandgap crystal and resonantly driven by a classical pump light are calculated. The photonic crystal is considered to be with a small bandgap which is in the order of magnitude of the Rabi frequency and is modeled by the anisotropic two-band dispersion relation. Non-Markovian noises caused by the non-uniform distribution of photon density states near the photonic bandgap are taken into account by a new approach which linearizes the optical Bloch equations by using the Liouville operator expansion. Fluorescence spectra that only exhibit sidebands of the Mollow triplet are found, indicating that there is no coherent Rayleigh scattering process.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•May 16, 2003•0 citations

Modeling of resonance fluorescence excitation spectra of two different two-level interacting nanoparticles

V. A. Morozov

Numerical simulations of the excitation spectra of resonant fluorescence bound by the dynamic interaction of two different two-level nanoparticles have been performed. We considered the excitation of one of the particles by monochromatic light with a frequency close to the transition frequency of this particle, at an irradiation intensity leading to a small population of its excited state. The formalism for the description of resonance fluorescence by the Heitler--Ma method was applied to a complete compound system of the marked particle pair and quantized emission field. The resulting expressions for the excitation spectrum reflect consideration of the absorption of the fluorescence photon without attributing it to the emission of any one particle. Expressions for the excitation spectra when taking into account such absorption of the fluorescence photon that allows us to attribute it to the radiation of one or another of the particles were obtained by solving a modified system of equations of the Heitler--Ma method, which reflects the addition of non-interfering amplitudes of the emission field states of each particle. It was found that the shape of the excitation spectra of the stationary resonance fluorescence of the particles in question is determined by the shape of the corresponding intensity spectra of the spontaneous fluorescence of these particles. Keywords: mathematical modeling, interacting two-level nanoparticles, resonant fluorescence, excitation spectrum.

Оптика и спектроскопия•Jan 1, 2022•0 citations

Modeling local decoherence of a spin ensemble using a generalized Holstein–Primakoff mapping to a bosonic mode

Andrew Kolmer Forbes, Philip Daniel Blocher, Ivan Deutsch

We show how the decoherence that occurs in an entangling atomic spin–light interface can be simply modeled as the dynamics of a bosonic mode. Although one seeks to control the collective spin of the atomic system in the permutationally invariant (symmetric) subspace, diffuse scattering and optical pumping are local, making an exact description of the many-body state intractable. To overcome this issue we develop a generalized Holstein–Primakoff approximation for collective states which is valid when decoherence is uniform across a large atomic ensemble. In different applications the dynamics is conveniently treated as a Wigner function evolving according to a thermalizing diffusion equation, or by a Fokker–Planck equation for a bosonic mode decaying in a zero-temperature reservoir. We use our formalism to study the combined effect of Hamiltonian evolution, local and collective decoherence, and measurement backaction in preparing nonclassical spin states for application in quantum metrology.

arXiv:2403.19801•Optica Quantum•Aug 8, 2024•4 citations
The issue of fluorescing multiatomic ensembles is addressed in a somewhat unconventional fashion. We are concerned with the case of an ensemble being localized within a volume small compared to the wavelength. Collective phenomena in resonance fluorescence make its analytical description problematic. We employ the representation due to Holstein and Primakoff of atomic pseudo-spin operators. When the dispersion of the number of excited atoms is small, the kinetic equation turns into that for an effective quantum photonic mode. The new equation is nonlinear. Its stationary solution can easily be found nevertheless. The motion of two fluorescing ensembles is considered as well. Their interaction appears to have geometric nature.
We describe a scheme capable of localizing an ensemble of interacting two-level atoms. The atoms are assumed to be bunched together in a volume much smaller than an emission wavelength, and they interact with a standing wave laser field. Due to the laser-pumping of the atomic sample, it collectively emits fluorescence light with properties depending on the ensemble position in the standing wave. This relation can be described by a fluorescence intensity profile, which depends on the standing wave field parameters, the ensemble properties, and which is modified due to collective effects in the ensemble of nearby particles. We demonstrate that the intensity profile can be tailored to suit different localization setups.
A Green's function formulation of the problem of resonance fluorescence from a system of identical two level atoms is presented. The general formulation is suitable for the investigation of a variety of nonlinear phenomena, e.g., propagation of electromagnetic waves inside the medium, fluorescence from a finite medium, optical bistability, atomic correlations, and additional side bands. Translational motion, collisions, Coulomb dipole–dipole interaction, excitation transfer, and local field corrections are also included in the basic equations. The effect of atom–atom correlations in the relaxation mechanism (radiative or collisional) is also taken into account. Finally, the results are also presented in the "generalized dressed atom" (GDA) representation. Applications of the general theory will be given in a future paper.
Steady state resonance fluorescence spectra from a two-level atom embedded in a photonic bandgap crystal and resonantly driven by a classical pump light are calculated. The photonic crystal is considered to be with a small bandgap which is in the order of magnitude of the Rabi frequency and is modeled by the anisotropic two-band dispersion relation. Non-Markovian noises caused by the non-uniform distribution of photon density states near the photonic bandgap are taken into account by a new approach which linearizes the optical Bloch equations by using the Liouville operator expansion. Fluorescence spectra that only exhibit sidebands of the Mollow triplet are found, indicating that there is no coherent Rayleigh scattering process.
Numerical simulations of the excitation spectra of resonant fluorescence bound by the dynamic interaction of two different two-level nanoparticles have been performed. We considered the excitation of one of the particles by monochromatic light with a frequency close to the transition frequency of this particle, at an irradiation intensity leading to a small population of its excited state. The formalism for the description of resonance fluorescence by the Heitler--Ma method was applied to a complete compound system of the marked particle pair and quantized emission field. The resulting expressions for the excitation spectrum reflect consideration of the absorption of the fluorescence photon without attributing it to the emission of any one particle. Expressions for the excitation spectra when taking into account such absorption of the fluorescence photon that allows us to attribute it to the radiation of one or another of the particles were obtained by solving a modified system of equations of the Heitler--Ma method, which reflects the addition of non-interfering amplitudes of the emission field states of each particle. It was found that the shape of the excitation spectra of the stationary resonance fluorescence of the particles in question is determined by the shape of the corresponding intensity spectra of the spontaneous fluorescence of these particles. Keywords: mathematical modeling, interacting two-level nanoparticles, resonant fluorescence, excitation spectrum.
We show how the decoherence that occurs in an entangling atomic spin–light interface can be simply modeled as the dynamics of a bosonic mode. Although one seeks to control the collective spin of the atomic system in the permutationally invariant (symmetric) subspace, diffuse scattering and optical pumping are local, making an exact description of the many-body state intractable. To overcome this issue we develop a generalized Holstein–Primakoff approximation for collective states which is valid when decoherence is uniform across a large atomic ensemble. In different applications the dynamics is conveniently treated as a Wigner function evolving according to a thermalizing diffusion equation, or by a Fokker–Planck equation for a bosonic mode decaying in a zero-temperature reservoir. We use our formalism to study the combined effect of Hamiltonian evolution, local and collective decoherence, and measurement backaction in preparing nonclassical spin states for application in quantum metrology.