Squeezing and Antibunching in Phase-matched Many-atom Resonance Fluorescence

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Abstract
We present two approaches to the correlation properties of the fluorescence field emitted by a many-atom source. The first approach is an extension of resonance-fluorescence theory, while the second one is based on scattering theory. Both approaches lead to an understanding of why the ‘anomalous’ correlation properties associated with squeezing and antibunching appear when some phase-matching condition is satisfied and why this condition is the four-wave-mixing one. We show that the effect of atomic motion can be taken into account in the scattering approach and that the many-atom antibunching effect cannot be considered as Doppler-free.