Abstract
We analysis within the quantum setting the effect of correlation of monochromatic fields of the Stokes and parametric radiation generated in a two-photon-absorbing medium by hyper-Raman scattering and four-wave mixing, respectively. Our results show that when there is destructive interference between the two processes, both modes are amplified in the medium in a correlated way, so that beyond a certain characteristic distance they propagate in a stationary manner with the same amplitudes and photon statistics but with opposite phases, while the medium becomes transparent to them. We calculate the intensity of the fields, the emission linewidths, and the diffusion of the total phase, the latter determining the extent of phase noise correlation at the output. We also show that no matter how the phases of the separate modes diffuse, the quantum fluctuations in the total phase may be completely squeezed.
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