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

Modern Physics Letters B

ANALYTICAL SPECTRA AND INTENSITY-INTENSITY CORRELATIONS IN COOPERATIVE OPTICAL DOUBLE RESONANCE

B. N. Jagatap, S. V. Lawande

Published Jul 1, 1988• 0 citations
Publisher

Abstract

We study the cooperative effects in the fluorescent radiation emitted from a system of N three-level atoms driven by two intense coherent fields. It is shown that the analytical expressions for fluorescent spectra and intensity-intensity correlations can be obtained for arbitrary N in a special case. These expressions manifest the essential cooperative effects.

DOI
10.1142/s0217984988000485

Related papers

Cooperative effects in a system of strongly driven three-level atoms

S. V. Lawande, B. N. Jagatap

Cooperative effects in a system of three-level atoms in cascade configuration interacting with intense resonant fields are investigated. Analytical expressions for atomic populations in the excited levels, fluorescence intensities, and normalized intensity correlations are presented. The intensity correlations are used to test the violation of the Cauchy-Schwarz inequalities. The analytical results predict in the cooperative limit N\ensuremath{\rightarrow}\ensuremath{\infty}, a discontinuous behavior of all atomic observables with respect to a parameter related to the field amplitudes and the atomic decay coefficients. This discontinuous behavior is analogous to a typical nonequilibrium first-order phase transition.

Physical Review A•Jan 1, 1989•10 citations

Optical-double-resonance spectra and intensity-intensity correlations under intense fields with finite bandwidths: Some analytical results

S. V. Lawande, Ravinder Rupchand Puri, Richard D’Souza

A formalism is presented to treat the effects of finite-bandwidth excitations on the fluorescent spectra and second-order intensity-correlation functions in optical double resonance. It is assumed that the bandwidth arises from the phase and/or amplitude fluctuations in the fields driving a three-level atom. Under the conditions that one or both these fields are intense, secular approximation and the theory of multiplicative stochastic processes are invoked to derive a Markovian master equation for the atomic-density operator averaged over both phase and amplitude ensembles. The quantum regression theorem is used to derive analytical expressions for the fluorescent spectra and the second-order intensity-correlation functions.

Physical Review A•Apr 1, 1986•12 citations

Effects of detuning and fluctuations on fluorescence radiation from a strongly driven three-level atom: Some analytical results

S. V. Lawande, Richard D’Souza, Ravinder Rupchand Puri

We generalize our earlier formalism to treat the effects of both the finite-bandwidth excitations and finite arbitrary detunings, on the fluorescent spectra and second-order intensity correlation functions in optical double resonance. It is assumed that the bandwidth arises from the phase and/or amplitude fluctuations in the fields driving a three-level atom in cascade configuration. Under the conditions that one or both of these fields are intense, secular approximation and the theory of multiplicative stochastic processes are invoked to derive a Markovian master equation for the atomic-density operator averaged over both phase and amplitude. The quantum regression theorem is used to derive analytical expressions for the fluorescent spectra and the second-order intensity correlation functions which explicitly display the effects due to detunings and fluctuations.

Physical Review A•Oct 1, 1987•9 citations

Cooperative fluorescence by three-level atoms in a strong excitation field

Helen S. Freedhoff

When a system of two-level atoms interacts with a very intense field, the phenomena associated with superradiance do not appear in the fluorescent radiation. The question has been raised, "Can pumping by an intense field inhibit the occurrence of superradiance in the fluorescence of a system of three-level atoms to the third (nonresonant) level?" In this paper, we calculate the fluorescence spectrum of 2 three-level atoms. We find that superradiance, while absent in that part of the radiation corresponding to resonance fluoresence, is present in the radiation to the nonresonant level.

Canadian Journal of Physics•Jan 1, 1985•4 citations

Influence of the cooperative effects on the emission and absorption spectra of atoms in a strong field

M. G. Gladush, A. A. Panteleev

The spectral dependences of absorption and emission by an optically dense concentrated system of two-level atoms are studied with allowance made for the cooperative effects. Analytical expressions are derived for the stationary spectrum of resonance fluorescence and the absorption spectrum of a probe signal. The results obtained suggest that the system can have a bistable behavior and its spectral characteristics are significantly modified.

Optics and Spectroscopy•Jun 1, 2002•0 citations

Squeezing in cooperative resonance fluorescence

Q. V. Lawande, S. V. Lawande

Cooperative effects on squeezing in resonance fluorescence from a finite number N of atoms are examined. Analytical expressions for the spectrum of squeezing and a quantity Q(T) related to the photon-counting statistics of the squeezed states are presented for N=1 and 2. These expressions are obtained by invoking the high-field approximation of the relevant master equation. The analytical results are supplemented by the numerical solutions of the exact master equation for N\ensuremath{\le}10. It is shown that for intense fields or large detunings, squeezing in resonance fluorescence is predominantly due to the quantum nature of the sidebands of the Mollow triplet. As a manifestation of cooperative effects, squeezing present in the total as well as the sideband radiation increases with the number of atoms. This is further confirmed from the behavior of the photon-statistics function Q(T).

Physical Review A•Jul 1, 1988•8 citations
We study the cooperative effects in the fluorescent radiation emitted from a system of N three-level atoms driven by two intense coherent fields. It is shown that the analytical expressions for fluorescent spectra and intensity-intensity correlations can be obtained for arbitrary N in a special case. These expressions manifest the essential cooperative effects.
Cooperative effects in a system of three-level atoms in cascade configuration interacting with intense resonant fields are investigated. Analytical expressions for atomic populations in the excited levels, fluorescence intensities, and normalized intensity correlations are presented. The intensity correlations are used to test the violation of the Cauchy-Schwarz inequalities. The analytical results predict in the cooperative limit N\ensuremath{\rightarrow}\ensuremath{\infty}, a discontinuous behavior of all atomic observables with respect to a parameter related to the field amplitudes and the atomic decay coefficients. This discontinuous behavior is analogous to a typical nonequilibrium first-order phase transition.
A formalism is presented to treat the effects of finite-bandwidth excitations on the fluorescent spectra and second-order intensity-correlation functions in optical double resonance. It is assumed that the bandwidth arises from the phase and/or amplitude fluctuations in the fields driving a three-level atom. Under the conditions that one or both these fields are intense, secular approximation and the theory of multiplicative stochastic processes are invoked to derive a Markovian master equation for the atomic-density operator averaged over both phase and amplitude ensembles. The quantum regression theorem is used to derive analytical expressions for the fluorescent spectra and the second-order intensity-correlation functions.
We generalize our earlier formalism to treat the effects of both the finite-bandwidth excitations and finite arbitrary detunings, on the fluorescent spectra and second-order intensity correlation functions in optical double resonance. It is assumed that the bandwidth arises from the phase and/or amplitude fluctuations in the fields driving a three-level atom in cascade configuration. Under the conditions that one or both of these fields are intense, secular approximation and the theory of multiplicative stochastic processes are invoked to derive a Markovian master equation for the atomic-density operator averaged over both phase and amplitude. The quantum regression theorem is used to derive analytical expressions for the fluorescent spectra and the second-order intensity correlation functions which explicitly display the effects due to detunings and fluctuations.
When a system of two-level atoms interacts with a very intense field, the phenomena associated with superradiance do not appear in the fluorescent radiation. The question has been raised, "Can pumping by an intense field inhibit the occurrence of superradiance in the fluorescence of a system of three-level atoms to the third (nonresonant) level?" In this paper, we calculate the fluorescence spectrum of 2 three-level atoms. We find that superradiance, while absent in that part of the radiation corresponding to resonance fluoresence, is present in the radiation to the nonresonant level.
Cooperative effects on squeezing in resonance fluorescence from a finite number N of atoms are examined. Analytical expressions for the spectrum of squeezing and a quantity Q(T) related to the photon-counting statistics of the squeezed states are presented for N=1 and 2. These expressions are obtained by invoking the high-field approximation of the relevant master equation. The analytical results are supplemented by the numerical solutions of the exact master equation for N\ensuremath{\le}10. It is shown that for intense fields or large detunings, squeezing in resonance fluorescence is predominantly due to the quantum nature of the sidebands of the Mollow triplet. As a manifestation of cooperative effects, squeezing present in the total as well as the sideband radiation increases with the number of atoms. This is further confirmed from the behavior of the photon-statistics function Q(T).