Interaction Of A Two Level Atom With A Squeezed Light From Parametric Oscillators

In this project, we have studied the quantum properties of a light produced by a de-rngenerate parametric oscillator that contains a two-level atom. Employing the masterrnequation we have obtained the quantum Langevin equation and the equation of timernevolution for the expectation values of the cavity mode and atomic operators. Withrnthe aid of the solutions of these equations, we have calculated the correlation proper-rnties of noise operators. Using the obtained correlation properties of noise operatorsrnand the large time approximation scheme, we determined the mean and variance ofrnphoton number, the power spectrum, second order correlation function and quadra-rnture variance.rnWe have found that the variance of the photon number is greater than the meanrnphoton number, indicating that the light produced by a two level atom has super-rnPoissonian photon statistics. On the other hand, the photons in the rnuorescent lightrnare antibunching. In addition, the power spectrum of the rnuorescent light from arntwo-level atom driven by a coherent light, turns out to be a single peak. It is foundrnthat the width of the spectrum increases with "= . Finally, we found that the cavityrnmode is in a squeezed state and the squeezing occurs in the minus quadrature

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