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Journal of Modern Optics

Quantum phase properties of a cubically behaved second-order nonlinear medium

Vlasta Peřinová

Published Jan 1, 1996• 7 citations
Publisher

Abstract

The travelling-wave second-harmonic generation can be studied in the cases of co- and contradirectional propagations provided that in the contradirectional case an approximative Heisenberg picture is accepted. Selected statistics makes evident the squeezing property and the Kerr-type behaviour in the fundamental mode.
DOI
10.1080/095003496156327

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We examine phase properties of the contradirectional nonlinear asymmetric coupler with the second harmonic generation. We derive a phase distribution using the concept of phase space. An interesting behavior of the linear mode, namely bifurcation of the phase distribution and phase switching are demonstrated. It is shown that light initially in the coherent state approximately maintains its phase properties during amplification through its Poissonian photon-number statistics are not conserved.© (1999) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
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.