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Squeezed state in superradiance

Qiao Gu

Published Apr 26, 1987• 0 citations
OpenAlex

Abstract

It has been shown recently that superradiance from N two-level atoms interacting with a single-mode field produces a squeezed field,1 but the analytical expression for field dispersion has not been given.

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Annual Meeting Optical Society of America•Jan 1, 1991•0 citations
The N-photon interaction of two two-level atoms with a single-mode quantized radiation field is studied. The general expression for the state vector of the atom–field system is presented with the probability amplitudes in analytic form. For the initial condition in which the atoms are both at their upper levels and the field is in a squeezed state, we study the time evolution of the atomic population inversions and that of the statistics of the field. We find that the ratio of the two coupling constants, the initial squeezing of the field, and N have significant effects on the features of the atoms and of the field.
We report unusual profiles in the resonance fluorescence spectrum of a two-level atom interacting with a resonant classical field of intermediate intensity and a squeezed vacuum. These have a dispersive profile, quite unlike any previously described, and are a distinctive feature of the interaction of atomic systems with nonclassical fields. An approximate analytic expression is obtained which explains these features, and it is shown that they arise from atomic correlations not probed in normal resonance fluorescence.
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.