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Squeezing, Sub-Poissonian and Total Noise in Degenerate Six-Wave Mixing Process

We study a single-mode squeezing, sub-Poissonian and total noise in degenerate six-wave mixing process. We establish the analytic expression of first-order and second-order squeezing in terms of total noise under short-time approximation in degenerate six-wave mixing process. It shows that higher-order squeezing allows a much larger fractional noise reduction than lower-order squeezing. We observe that the squeezed states are associated with large number of photons. We find that squeezing is greater in stimulated process than corresponding squeezing in spontaneous interaction. The photon statistics of the pump mode in the process is investigated and found to be sub-Poissonian in nature. The effect of sub-Poissonian nature of an optical field in terms of total noise is also incorporated. We show that the depth of nonclassicality directly depends on the amount of total noise present in the system. This suggests that the more squeezed the state is, the greater is its total noise in the system.