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Journal of Advanced Physics

Normal Amplitude Squeezing Effects and Poissonian Photon Statistics During Seven-Wave Mixing Process

Ashok Kumar, Jawahar Lal, Rammehar Singh

Published Jun 1, 2014• 0 citations
Publisher
DOI
10.1166/jap.2014.1112

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The squeezing and sub-Poissonian eects of light in third harmonic generation are investigated based on the fully quantum mechanical approach up to the rst order Hamiltonian interaction in gt, where g is the coupling constant between the modes per second and t is the interaction time between the waves during the process in a nonlinear medium.The coupled Heisenberg equations of motion involving real and imaginary parts of the quadrature operators are established.The occurrence of amplitude squeezing eects in both the quadratures of the radiation eld in the fundamental mode is investigated and found to be dependent on the selective phase values of the eld amplitude.The photon statistics of the pump mode in this process have also been investigated and found to be sub-Poissonian in nature.It is shown that for particular phase values the amplitude squeezing and sub-Poissonian photon statistics of light occur simultaneously.It is observed that there is no possibility to produce squeezed light in the harmonic mode up to rst-order interaction in gt.Further, it is found that the normal squeezing in the harmonic mode directly depends upon the amplitude-cubed squeezing of the initial pump eld to the case of second-order interaction in gt.This gives a method of converting higher-order (amplitude-cubed) squeezing of the fundamental mode into normal squeezing of the harmonic mode and vice versa.
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.