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Physical Review A

Resonance fluorescence in a bichromatic field as a source of nonclassical light

Gagik Yu. Kryuchkyan, Matthias Jakob, A.S. Sargsian

Published Mar 1, 1998• 34 citations
Publisher

Abstract

The photon correlation phenomenon and photon count statistics in the resonance fluorescence of a two-level atom interacting with a strong bichromatic field are investigated. An analytical result is obtained for the second-order correlation function. Unusual quantum-statistical properties of the fluorescent radiation are obtained, and effects on the photon correlation influenced by electromagnetic reservoirs is shown.

DOI
10.1103/physreva.57.2091

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The photon correlation phenomenon and photon count statistics in the resonance fluorescence of a two-level atom interacting with a strong bichromatic field are investigated. An analytical result is obtained for the second-order correlation function. Unusual quantum-statistical properties of the fluorescent radiation are obtained, and effects on the photon correlation influenced by electromagnetic reservoirs is shown.
A new possibility of generating one-mode squeezed light by coupling a system of two-level atom with a bichromatic pump field in an optical cavity is suggested. The non-classical character of light in this process is caused by two-photon radiation at the central frequency of the spectrum of resonance fluorescence in the bichromatic field. The intensity of the resonance fluorescence cavity output field as well as the variance of the quadrature amplitudes and the second-order correlation function of intensity are calculated.
We consider effects of a broadband squeezed reservoir on the second-order intensity correlation, and on squeezing properties in the resonance fluorescence of a bichromatically driven two-level atom in a cavity of moderate Q. Phase-dependent squeezed reservoir effects change the photon statistics, and lead to an amplification of the degree of squeezing. Squeezed reservoir effects in the second-order correlation function ${g}^{(2)}(\ensuremath{\tau})$ are determined by two-photon emission processes which can be enhanced or suppressed in dependence on the squeezing phase.
The statistical properties of fluorescent light from a single two-level atom driven by nonclassical light beams that exhibit antibunching and squeezing are discussed in the weak-field limit. The fields produced in intracavity second-harmonic generation and those produced by superposing the light from a degenerate parametric oscillator with a coherent field are considered to be the models of nonclassical light beams. These fields can be described in terms of real Gaussian random processes with nonzero mean coherent components. Analytical expressions for the fluorescent light intensity, the second-order intensity correlation function, and the variance of the photon number in the steady state are obtained. The effects of driving-field correlations, detuning, and other parameters characterizing the atom-field interaction on the statistics of scattered light are investigated. It is found that for a certain range of parameters the second-order intensity correlation function may vanish at nonzero times. Under certain other circumstances the antibunching of the fluorescent photons is enhanced. These and other interesting features that appear in the scattered light are discussed.
We examine the correlation between photons in the resonance fluorescence of a bichromatically driven four-level atom. The four-level atom consists of two twofold degenerate states and, as a consequence, spontaneous emission events become sensitive to polarization. Depending on the interaction strength with the bichromatic field as well as its polarization direction, nonlinear two-photon emission takes place which, in turn, leads to extremely strong correlations between certain polarized photons. On the other hand, correlations between photons differently polarized from the distinctive ones are suppressed. Thus, the light source establishes a promising candidate for the generation of Bell-type correlated photon pairs. We explain the unusual large correlations with a nonlinear four-photon process which crucially depends on the strength of the driving as well as its polarization.
The normalised intensity correlation function of resonance fluorescence radiation from two-level atoms is studied in various respects. In the first part of the paper the author discusses only interference effects for several uncoupled, linearly arranged, atoms. It is shown that, depending on the distance between the atoms, the direction of observation and the strength of the driving field, an antibunching effect as well as a very big bunching effect may be observed. In the second part of the paper he studies for the case of two atoms and weak external fields the influence of the interaction between the atoms by means of a perturbation theory. It is shown that the coupling between the atoms strongly modifies the normalised intensity correlation function in comparison with the case of uncoupled atoms. He takes as the driving field a coherent external field as well as laser light and thermal light.