Using the quasiprobability positive P of phase space representation, we examine the features of squeezing over two octaves of frequency difference with each octave integrating two-channel nonlinear waveguides. The second harmonic coupling of the light fields is taken into account in the current arrangement. We discovered that single-mode squeezing is decreased by second harmonic coupling.
We demonstrate the generation of squeezed states of light due to the second harmonic generation and Kerr effect in an array of nonlinear waveguides mediated through a linear one. We characterized the electromagnetic field by a quantum mechanical Hamiltonian and the density operator time evolution is obtained from the Von-Neumann equation of motion. Using the quasiprobability positive P of phase space representation, the classical Fokker-Planck equation is obtained from the master equation and translated to its classical matching set of nonlinear differential equations. We showed that because of the new possibilities of correlation between the linear and nonlinear channel waveguides, highly nonclassical light may be produced.
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