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 A

Photon correlations in the spectrum of a superradiant system in a strong cavity field

H. M. Castro-Beltrán, S. M. Chumakov, J. J. Sánchez-Mondragón

Published Feb 1, 1998• 1 citation
Publisher

Abstract

We investigate correlations among photons from the components of the resonance fluorescence spectrum of a cooperative system of two-level atoms interacting with a strong field of a single-mode lossless cavity. The properties of the central band are more closely related to the superradiant effect in free space than the sidebands. The central band field has reduced fluctuations and the collective dipole has its largest uncertainty when half the atoms are initially excited. Partial atomic excitation destroys the sub-Poissonian character of the sideband field and leads to a bunching-antibunching transition in the correlation of a sideband photon followed by a central band photon.

DOI
10.1103/physreva.57.1458

Related papers

Collective-resonance fluorescence in an ideal cavity

H. M. Castro-Beltrán, J. J. Sánchez-Mondragón, S. M. Chumakov

We study cooperative properties of the emission spectrum of A two-level atoms interacting with a quantized field in a lossless cavity. We show, in a unified treatment, the system anharmonicity, the fine structure, and size of the spectral bands. Further, we show that for an initially inverted atomic system and a thermal cavity field the atomic cooperativity allows the merging of well-defined sidebands, absent in the single-atom case. Thus the cooperativity reduces the destructive effect of the large dispersion of the blackbody photon distribution. For an increasing number of atoms, the central band is split into a doublet. The dip in the doublet is filled when the cavity field is very strong. Also, the extra sidebands have smaller amplitudes than the time-dependent contributions to the spectrum. \textcopyright{} 1996 The American Physical Society.

Physical Review A•Jun 1, 1996•12 citations

Two-atom resonance fluorescence including the dipole-dipole interaction

R. D. Griffin, Samuel M. Harris

The spectrum of resonance fluorescence and the second-order correlation function are calculated for a system of two identical two-level cooperative systems interacting via the dipole-dipole interaction. The results are valid for arbitrary incident-field strengths and for atomic separations much less than the resonant wavelength. The intensity of the sidebands at the Rabi frequency is diminished by the dipole interaction, whereas that of the sidebands at twice the Rabi frequency is enhanced. Both the cooperative behavior and the dipole-dipole interaction act to diminish the photon antibunching, as shown by the second-order correlation function.

Physical Review A•Mar 1, 1982•29 citations

One- and two-photon resonance fluorescence of a three-level atom at high photon densities

Constantine Mavroyannis, M. P. Sharma

We consider the possible physical processes that may arise in a three-level atom when only two of its levels interact with a strong electromagnetic field and when the atomic transition frequency is nearly equal to once and twice the frequency of the laser field, respectively. There have been found pronounced cooperative effects in the spectrum of the two-level system, which is in resonance with the laser field, arising from the presence of the third level. The excitation spectra describing the transitions from the first excited state into the second excited state and from that to the ground state consist, apart from the two central peaks, of two pairs of sidebands which are induced by the laser field of the neighbouring system. Detailed expressions of the spectral functions for the physical processes of one- and two-photon resonance fluorescence have been derived and discussed in the limit of high photon densities. The excitation spectrum of the low frequency modes has been considered and discussed in detail. It is found that quantum beats in spontaneous emission may appear in the spectra of the one- and two-photon resonance fluorescence arising from the interference between the two atomic transition frequencies and the frequency of the laser field. The importance of the low frequency modes that occur in the processes in question has been pointed out.

Molecular Physics•Apr 20, 1981•4 citations

Photon density-density correlations in a system of two interacting atoms

Constantine Mavroyannis

The excitation spectrum arising from photon density-density correlations has been considered in a system of two interacting identical atoms. The two-level atoms are pumped near resonance by a strong electromagnetic field while they interact through their dipole-dipole interaction and radiate to each other as well. In such a system the photon density-density correlations arise from the interference spectrum due to the beating of the frequency of the pump field and the atomic transition frequency, as well as from the spectrum induced by the dipole-dipole and radiative interactions between the atoms. The spectral function of this system has been calculated in the limit of high photon densities. It consists of four terms describing four bands which are similar to those appearing in the two-atom resonance fluorescence spectrum for the symmetric modes when the central peak is missing. The collective behavior as well as the dynamics of the system are discussed in detail. By using the spectral function, an expression for the photon density-density correlation function at different times has been derived where thermal effects have been also included.

Physical Review A•Sep 1, 1980•9 citations

Photon correlations between the lines in the spectrum of resonance fluorescence

Henk F. Arnoldus, Gerard Nienhuis

The authors give a theoretical description of the spectrally resolved intensity correlations of an electromagnetic field, in analogy with the definition of the physical time-dependent spectrum. The results are applied to evaluate the time correlations between the three lines in the spectrum of resonance fluorescence of a two-level atom. The authors include the possibility of a finite bandwidth of the incident radiation, and they allow for collisions with perturber atoms. Photons in the central Rayleigh line are emitted in a fully random fashion, without any correlation with previous or subsequent emissions. Two photons from the same sideband display antibunching in time, whereas two photons from opposite sidebands tend to bunch with a strong asymmetry in time. The effect of collisions and of a finite bandwidth is to diminish this asymmetry.

Journal of Physics B Atomic and Molecular Physics•Mar 28, 1984•57 citations

Resonance fluorescence from atoms in a cavity

A.S. Shumovsky, Tran Quang

We consider the problem of resonance fluorescence from N two-level atoms interacting with an intense cavity mode. The novel results for the spectral and statistical properties of the fluorescence field, which are quite different from collective resonance fluorescence in a free space, are obtained. The correlation, anti-correlation between spectrum components and violation of the Cauchy-Schwarz inequality are discussed.

Journal de physique•Jan 1, 1989•2 citations
We investigate correlations among photons from the components of the resonance fluorescence spectrum of a cooperative system of two-level atoms interacting with a strong field of a single-mode lossless cavity. The properties of the central band are more closely related to the superradiant effect in free space than the sidebands. The central band field has reduced fluctuations and the collective dipole has its largest uncertainty when half the atoms are initially excited. Partial atomic excitation destroys the sub-Poissonian character of the sideband field and leads to a bunching-antibunching transition in the correlation of a sideband photon followed by a central band photon.
We study cooperative properties of the emission spectrum of A two-level atoms interacting with a quantized field in a lossless cavity. We show, in a unified treatment, the system anharmonicity, the fine structure, and size of the spectral bands. Further, we show that for an initially inverted atomic system and a thermal cavity field the atomic cooperativity allows the merging of well-defined sidebands, absent in the single-atom case. Thus the cooperativity reduces the destructive effect of the large dispersion of the blackbody photon distribution. For an increasing number of atoms, the central band is split into a doublet. The dip in the doublet is filled when the cavity field is very strong. Also, the extra sidebands have smaller amplitudes than the time-dependent contributions to the spectrum. \textcopyright{} 1996 The American Physical Society.
The spectrum of resonance fluorescence and the second-order correlation function are calculated for a system of two identical two-level cooperative systems interacting via the dipole-dipole interaction. The results are valid for arbitrary incident-field strengths and for atomic separations much less than the resonant wavelength. The intensity of the sidebands at the Rabi frequency is diminished by the dipole interaction, whereas that of the sidebands at twice the Rabi frequency is enhanced. Both the cooperative behavior and the dipole-dipole interaction act to diminish the photon antibunching, as shown by the second-order correlation function.
We consider the possible physical processes that may arise in a three-level atom when only two of its levels interact with a strong electromagnetic field and when the atomic transition frequency is nearly equal to once and twice the frequency of the laser field, respectively. There have been found pronounced cooperative effects in the spectrum of the two-level system, which is in resonance with the laser field, arising from the presence of the third level. The excitation spectra describing the transitions from the first excited state into the second excited state and from that to the ground state consist, apart from the two central peaks, of two pairs of sidebands which are induced by the laser field of the neighbouring system. Detailed expressions of the spectral functions for the physical processes of one- and two-photon resonance fluorescence have been derived and discussed in the limit of high photon densities. The excitation spectrum of the low frequency modes has been considered and discussed in detail. It is found that quantum beats in spontaneous emission may appear in the spectra of the one- and two-photon resonance fluorescence arising from the interference between the two atomic transition frequencies and the frequency of the laser field. The importance of the low frequency modes that occur in the processes in question has been pointed out.
The excitation spectrum arising from photon density-density correlations has been considered in a system of two interacting identical atoms. The two-level atoms are pumped near resonance by a strong electromagnetic field while they interact through their dipole-dipole interaction and radiate to each other as well. In such a system the photon density-density correlations arise from the interference spectrum due to the beating of the frequency of the pump field and the atomic transition frequency, as well as from the spectrum induced by the dipole-dipole and radiative interactions between the atoms. The spectral function of this system has been calculated in the limit of high photon densities. It consists of four terms describing four bands which are similar to those appearing in the two-atom resonance fluorescence spectrum for the symmetric modes when the central peak is missing. The collective behavior as well as the dynamics of the system are discussed in detail. By using the spectral function, an expression for the photon density-density correlation function at different times has been derived where thermal effects have been also included.
The authors give a theoretical description of the spectrally resolved intensity correlations of an electromagnetic field, in analogy with the definition of the physical time-dependent spectrum. The results are applied to evaluate the time correlations between the three lines in the spectrum of resonance fluorescence of a two-level atom. The authors include the possibility of a finite bandwidth of the incident radiation, and they allow for collisions with perturber atoms. Photons in the central Rayleigh line are emitted in a fully random fashion, without any correlation with previous or subsequent emissions. Two photons from the same sideband display antibunching in time, whereas two photons from opposite sidebands tend to bunch with a strong asymmetry in time. The effect of collisions and of a finite bandwidth is to diminish this asymmetry.