The properties of the photon-counting distribution, for arbitrary intervals, produced by a mixture of coherent radiation and the radiation scattered by a strongly pumped two-level atom are calculated. Such properties reflect in an important way on the squeezing characteristics and the anomalous correlators of the scattered radiation.
The photon-counting statistics of squeezed states in collective time-dependent resonance fluorescence is calculated for the homodyne detection technique. The secular approximation is applied to obtain analytical expressions for the photon-counting distribution produced by homodyning the fluorescent field and coherent radiation. Squeezing is shown to appear only in the transient regime of resonance fluorescence. The time location of squeezing is independent of the number of atoms, N, but squeezing increases with increasing N. Moreover, squeezing occurs only for a judicious choice of the phase of the local oscillator and occurs over long counting times T. The time interval T is strongly dependent on the initial atomic population. If initially all atoms are in their excited states, squeezing appears with a delay twice as long as that for initially nonexcited atoms.
We present some effects of a squeezed vacuum on the photon statistics of a coherently driven two-level atom. The intensity-intensity correlation function g(2)(\ensuremath{\tau}), Mandel's response function Q(T), and the photon-counting distribution P(0,T) show the manifestation of the inhibition of atomic phase decay in the presence of a squeezed vacuum.
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 study the statistical properties of fluorescence from a coherently driven two-level atom placed in a broadband squeezed vacuum. The photon statistics are studied in terms of waiting time distribution or the delay function that describes the probability of emission of the very next photon following an emission of a photon initially. In an intense field limit, we analytically obtain the delay function for total emission and examine its phase-dependent behavior in a squeezed vacuum. We further analytically calculate the delay functions for the Mollow sidebands and use them to discuss the time correlation and successive emission of photons belonging to the left and right sidebands.