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International Journal of Modern Physics B

THE TWO-ATOM DICKE MODEL IN A SQUEEZED VACUUM: THE FLUORESCENT SPECTRUM INCLUDING DIPOLE-DIPOLE INTERACTION

Ravinder Rupchand Puri, Amitabh Joshi, R. Bullough

Published Nov 20, 1991• 7 citations
Publisher

Abstract

The spectrum of resonance fluorescence from a system of two identical coherently driven two-level atoms interacting with a broadband squeezed bath is studied by including the atomic dipole-dipole interaction. The spectral characteristics are studied by solving the master equation numerically and also by deriving the analytic expressions in the limit of strong driving field.

DOI
10.1142/s0217979291001231

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The spectrum of resonance fluorescence from a system of two identical coherently driven two-level atoms interacting with a broadband squeezed bath is studied by including the atomic dipole-dipole interaction. The spectral characteristics are studied by solving the master equation numerically and also by deriving the analytic expressions in the limit of strong driving field.
We present analytical and numerical results for the steady-state resonance fluorescence spectrum produced by a coherently driven two-level atom in the presence of a broadband squeezed vacuum. Here the central frequency of the squeezed vacuum is off-resonant with the driving field frequency, while maintaining resonance between the driving frequency and the atomic resonance. Numerical solutions of the Bloch equations of the system are obtained under the strong driving field approximation which agree well with the analytic results.
We study fluorescence from a three-level atom in a cascade configuration driven by two coherent fields and damped by a broadband squeezed vacuum. Under the conditions that one or both of these fields are intense, a secular approximation is invoked to derive an analytical solution of the relevant master equation. When the two fields are in exact resonance with their respective transitions, expressions for the fluorescent spectra show a narrowing of the central peak for some specific values of the parameters of the squeezed vacuum and the phases between the driving fields and the squeezed vacuum. We also present analytical expressions for second-order intensity correlations. The inhibition of fluorescence in a squeezed vacuum is reflected in the quantum-jump-like behavior shown by these correlations.
The authors investigate the dipole-dipole interaction role in the resonance fluorescence of two identical two-level atoms, which are confined to a region much smaller than the resonant wavelength and which are damped by a squeezed vacuum. The spectrum consists of seven or five lines, depending on the relative phase between the driving field and the squeezed vacuum, whereas the spectrum without the dipole-dipole interaction displays three lines. The widths of these lines depend on the parameters of the squeezed vacuum and can be subnatural or supernatural depending on the phase. The central line and additional sidebands at double the Rabi frequency can have intensities larger than in the normal vacuum but the intensities of lines at one Rabi frequency are always less than in the normal vacuum.
The resonance fluorescence system of a coherently driven two-level atom in the presence of a broadband squeezed vacuum field whose central frequency is not in resonance with either the driving field frequency or the atomic transition frequency is analyzed. Solutions of the Bloch equations of the system are presented in terms of continued fractions for arbitrary strength of the coherent driving field. Numerical results are presented for the first-harmonic quadrature components of the absorption spectrum and the fluorescent intensity. The effects of the squeezed vacuum field detuning on the absorption spectrum result in hole burning or a dip structure in the weak-field case and two absorption–amplification peaks in the strong-field case. Results are sensitive to the relative phase of the squeezed vacuum.
Resonance fluorescence from a single two-level atom driven by a beam of squeezed light is studied in the weak-field limit. We consider the situation where the atom is coupled to the ordinary vacuum and only a few field modes corresponding to the driving field are squeezed. The field produced by the degenerate optical parametric oscillator is used as the driving field. Heisenberg equations of motion are solved in the steady-state and analytic expressions for the fluorescent-light intensity and the spectrum of fluorescent light are derived. We also consider photon statistics of fluorescent light. In particular, squeezing, antibunching, and sub-Poissonian statistics of fluorescent photons are discussed, and analytic expressions for the quadrature variance and the two-time intensity correlation function are presented. Contrary to the case of coherent excitation, the second-order intensity correlation function does not factorize. This and other differences are discussed, and curves are presented to illustrate the behavior of various quantities. We also present results for thermal excitation of the atom.