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

Coupling between left- and right-going waves in the initial state of superfluorescence

Maciej Lewenstein, Kazimierz Rza̧żewski

Published Sep 1, 1982• 15 citations
Publisher

Abstract

Equations of motion for a sample filled with totally inverted two-level atoms coupled to one-dimensional radiation field are solved in the linear regime without the slowly-varying-envelope approximation. The comparison with known results neglecting the coupling between left- and right-going waves is made.
DOI
10.1103/physreva.26.1510

Related papers

Superfluorescence and cooperative frequency shift

Gian Piero Banfi, R. Bonifacio

We discuss from first principles the cooperative decay of a system of two-level atoms, initially prepared in an uncorrelated excited state with population inversion $N$, and we give the conditions under which the superfluorescence effect occurs. Describing the atomic system in terms of collective variables, we derive a master equation for the reduced atomic density operator, which gives rise both to a damping and to a time-dependent frequency shift in the dynamics of collective modes. The coupled equations of motion are solved with a self-consistent approach. It is found that the system goes through a nonexponential decay if the maximum length of the active volume is smaller than a "cooperation range" and larger than a "threshold length," in agreement with the one-mode theory. The radiation burst has a time width proportional to ${N}^{\ensuremath{-}1}$, and its intensity is proportional to ${N}^{2}$. Specializing to a pencil-shaped volume, we find that only two atomic modes need to be considered; in this case, the average emitted radiation is all condensed in the two diffraction patterns of the opposite axial modes.

Physical Review A•Nov 1, 1975•43 citations

Three-dimensional theory of initiation of superfluorescence

Jan Mostowski, Božena Sobolewska

We have formulated the quantum theory of formation of the superfluorescence pulse from a pencil-like amplifier. The coupled system of the linearized Bloch equations for two-level atoms and the three-dimensional wave equation for the electric field has been solved in the geometrical-optics approximation for Fresnel numbers $F \ensuremath{\ge} 1$. Several properties of the superfluorescence pulse are discussed. The spatial coherence function of the pulse has been found as a function of the Fresnel number. This function provides a precise formulation of the concept of "diffraction modes." The delay-time distribution function for various Fresnel numbers has been found. The results are consistent with experimental data and numerical simulations.

Physical Review A•Sep 1, 1984•15 citations

Correlation of counterpropagating superfluorescence pulses: Solution of the Maxwell-Bloch equations without the slowly varying envelope approximation

Yu. A. Avetisyan, Evgenii Dmitrievich Trifonov

OptSp•Mar 1, 1997•0 citations

Simulation of superfluorescence of a filmlike sample

Yuri A. Avetisyan

The simulation of superfluorescence of a thin layer of two-level atoms was performed on the basis of semiclassical approach without using approximation of slowly varying in space amplitudes of electric field and medium polarization (paraxial approximation). The evolution of atomic characteristics and the structure of the radiation directivity pattern inside the total solid angle have been investigated. The comparison of the results obtained with the results based on the paraxial approximation has been done.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•May 10, 1996•0 citations

Coherent trapping and beats in superfluorescence

Cristina Leonardi, Alessandro Vaglica

A set of quantum equations describing the superfluorescent emission by two groups of sources having different resonance frequencies is presented. Numerical solutions are derived which in particular show significant differences between the quantum and the semiclassical results.

Journal of Physics B Atomic and Molecular Physics•Apr 28, 1981•7 citations

Solution of the Heisenberg equations for an atom interacting with radiation

Brian H Buck, C V Sukumar

It is shown that the nonlinear equation of motion for the energy operator of a few-level atom interacting with a single mode radiation field can be solved explicitly.

Journal of Physics A Mathematical and General•Mar 11, 1984•76 citations
We discuss from first principles the cooperative decay of a system of two-level atoms, initially prepared in an uncorrelated excited state with population inversion NNN, and we give the conditions under which the superfluorescence effect occurs. Describing the atomic system in terms of collective variables, we derive a master equation for the reduced atomic density operator, which gives rise both to a damping and to a time-dependent frequency shift in the dynamics of collective modes. The coupled equations of motion are solved with a self-consistent approach. It is found that the system goes through a nonexponential decay if the maximum length of the active volume is smaller than a "cooperation range" and larger than a "threshold length," in agreement with the one-mode theory. The radiation burst has a time width proportional to ${N}^{\ensuremath{-}1}$, and its intensity is proportional to N2{N}^{2}N2. Specializing to a pencil-shaped volume, we find that only two atomic modes need to be considered; in this case, the average emitted radiation is all condensed in the two diffraction patterns of the opposite axial modes.
We have formulated the quantum theory of formation of the superfluorescence pulse from a pencil-like amplifier. The coupled system of the linearized Bloch equations for two-level atoms and the three-dimensional wave equation for the electric field has been solved in the geometrical-optics approximation for Fresnel numbers $F \ensuremath{\ge} 1$. Several properties of the superfluorescence pulse are discussed. The spatial coherence function of the pulse has been found as a function of the Fresnel number. This function provides a precise formulation of the concept of "diffraction modes." The delay-time distribution function for various Fresnel numbers has been found. The results are consistent with experimental data and numerical simulations.
The simulation of superfluorescence of a thin layer of two-level atoms was performed on the basis of semiclassical approach without using approximation of slowly varying in space amplitudes of electric field and medium polarization (paraxial approximation). The evolution of atomic characteristics and the structure of the radiation directivity pattern inside the total solid angle have been investigated. The comparison of the results obtained with the results based on the paraxial approximation has been done.