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Optics Communications

The transient fluorescence spectrum of a strongly driven two-atom Dicke model including dipole interaction in a squeezed vacuum

Amitabh Joshi, Ravinder Rupchand Puri

Published Dec 1, 1991• 5 citations
Publisher
DOI
10.1016/0030-4018(91)90147-6

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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.

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We report exact results concerning the effect of dipole-dipole interaction (dispersion forces) on dynamic and steady-state characteristics of squeezing in the emitted fluorescent field from two identical coherently driven two-level atoms. The atomic system is subjected to three different damping baths in particular the normal vacuum, a broad band thermal field and a broad band squeezed vacuum. The atomic model is the Dicke model, hence possible experiments are most likely to agree with theory when performed on systems of Rydberg atoms making microwave transitions. The presence of dipole-dipole interaction can enhance squeezing for realizable values of the various parameters involved.

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Resonance fluorescence with bichromatic excitation and nonresonant squeezed reservoir: iterative approach

Saad S. M. Hassan, R.A. Alharbey

An iterative approach, not restricted to field strength nor to resonance conditions, is used to solve the nonautonomous Bloch equations modeling the interaction of a bichromatically driven two-level atom in the presence of an off-resonant broadband squeezed vacuum (SV) radiation reservoir. The system parameters are chosen such that the absolute difference between the iterative and (exact) numerical solutions is [Formula: see text](10−2) or less. For some limiting cases, range of validity of the iterative procedure is estimated analytically. The derived analytical solutions are used to calculate the transient fluorescent spectrum. Some previously obtained results (both experimental and theoretical) in the normal vacuum case are recovered. In the SV case, with strong resonant (off-resonant) bichromatic field strength, the transient spectrum shows many symmetrical (asymmetrical) resonances of weights and locations dependent on the SV detuning parameter.

Canadian Journal of Physics•May 1, 2012•2 citations
We report exact results concerning the effect of dipole-dipole interaction (dispersion forces) on dynamic and steady-state characteristics of squeezing in the emitted fluorescent field from two identical coherently driven two-level atoms. The atomic system is subjected to three different damping baths in particular the normal vacuum, a broad band thermal field and a broad band squeezed vacuum. The atomic model is the Dicke model, hence possible experiments are most likely to agree with theory when performed on systems of Rydberg atoms making microwave transitions. The presence of dipole-dipole interaction can enhance squeezing for realizable values of the various parameters involved.
An iterative approach, not restricted to field strength nor to resonance conditions, is used to solve the nonautonomous Bloch equations modeling the interaction of a bichromatically driven two-level atom in the presence of an off-resonant broadband squeezed vacuum (SV) radiation reservoir. The system parameters are chosen such that the absolute difference between the iterative and (exact) numerical solutions is [Formula: see text](10−2) or less. For some limiting cases, range of validity of the iterative procedure is estimated analytically. The derived analytical solutions are used to calculate the transient fluorescent spectrum. Some previously obtained results (both experimental and theoretical) in the normal vacuum case are recovered. In the SV case, with strong resonant (off-resonant) bichromatic field strength, the transient spectrum shows many symmetrical (asymmetrical) resonances of weights and locations dependent on the SV detuning parameter.