Interaction of a Two Level Atom with a Squeezed Light from Parametric Oscillators
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Date
2017-08
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Addis Ababa University
Abstract
In this project, we have studied the quantum properties of a light produced by a de-
generate parametric oscillator that contains a two-level atom. Employing the master
equation we have obtained the quantum Langevin equation and the equation of time
evolution for the expectation values of the cavity mode and atomic operators. With
the aid of the solutions of these equations, we have calculated the correlation proper-
ties of noise operators. Using the obtained correlation properties of noise operators
and the large time approximation scheme, we determined the mean and variance of
photon number, the power spectrum, second order correlation function and quadra-
ture variance.
We have found that the variance of the photon number is greater than the mean
photon number, indicating that the light produced by a two level atom has super-
Poissonian photon statistics. On the other hand, the photons in the
uorescent light
are antibunching. In addition, the power spectrum of the
uorescent light from a
two-level atom driven by a coherent light, turns out to be a single peak. It is found
that the width of the spectrum increases with "= . Finally, we found that the cavity
mode is in a squeezed state and the squeezing occurs in the minus quadrature
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Keywords
Interaction of a Two Level Atom