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Frontiers in Optics

On the bichromatic excitation of a two-level atom with squeezed light

Amitabh Joshi, Reeta Vyas, Surendra Singh, Min Xiao

Published Jan 1, 2003• 0 citations
Publisher

Abstract

Dynamics of a two-level atom bichromatically excited with two squeezed fields derived from degenerate optical parametric oscillators is discussed by solving Heisenberg equation of motion. Oscillatory behavior in the fluorescent intensity as well as in intensity correlation function is found. These results are compared with the monochromatic excitation case.

DOI
10.1364/fio.2003.mt33

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Dynamics of a two-level atom bichromatically excited with two squeezed fields derived from degenerate optical parametric oscillators is discussed by solving Heisenberg equation of motion. Oscillatory behavior in the fluorescent intensity as well as in intensity correlation function is found. These results are compared with the monochromatic excitation case.
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.
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. This driving field can be described in terms of two real independent Gaussian processes. 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.
We consider intensity-field correlation functions for a two-level atom in a degenerate optical parametric oscillator (OPO). Analytic results are obtained in the limit of weak driving fields using quantum trajectory methods. We find large violations of inequalities satisfied by classical fields. We compare our results to those of an ordinary OPO. We also calculate the second-order intensity correlation function for transmitted and fluorescent light, as well as for cross correlations. Here we report large violations of inequalities for the intensity cross-correlation functions in the weak field limit.
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.
The dynamics of a coherently driven two-level atom with parametric amplifier and coupled to a vacuum reservoir is analyzed. The combination of the master equation and the quantum Langevin equation is presented to study the quantum properties of light. By using these equations, we have determined the time evolution of the expectation values of the cavity mode and atomic operators. Moreover, with the aid of these results, the correlation properties of noise operators, and the large-time approximation scheme, we calculate the mean photon number, power spectrum, second-order correlation function, and quadrature variances for the cavity-mode light and fluorescence. It is found that the half-width of the power spectrum for the fluorescent light in the presence of a parametric amplifier increases, while it decreases for the cavity-mode light. Moreover, we have found the probability for the atom to be in the upper level in the presence of a parametric amplifier.