Optical parametric amplifiers are known in the literature as a tool for the generation of quantum correlated beams. Forward four-wave mixing (FWM) with gain factors on the order of 10 associated with strong intensity squeezing  is behind, for example, the generation of entangled fields .
In this work, we explore both the internal and external atomic degrees of freedom to demonstrate the observation of giant gain and parametric oscillation in multiple FWM processes in a sample of cold cesium atoms. The parametric probe-beam amplification exceeds 2000 and is accompanied by the generation of three other beams of equivalent power emitted along the directions satisfying the phase-matching conditions for multiple cascade forward and backward FWM [3, 4].
The quantum correlations among these fields are investigated by combining in-quadrature electronic local oscillators and heterodyne detection, allowing the measurement of the fields' quadratures and the reconstruction of the covariance matrix.
Also, a full Liouville–Maxwell equations calculation in the extended Hilbert space of the internal and external atomic degrees of freedom allows us to obtain, from first principles, the four-wave propagation equations.
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|Presenter name||Gabriel C. Borba|
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