The interference of the nonclassical light pulse with a coherent one and the sub-Poissonian statistics formation

Abstract

Using the theoretical model of the optical beam-splitter, the interference of the self-phase modulated ultrashort light pulse (SPM-USP) with the coherent one is investigated. It is found that, the choice of the coefficient of transmission of the beam-splitter allows one to get the spectra of quadrature fluctuations with forms of interest to us. It is shown that the choice of the geometrical phase gives one the control of the position of the ellipse of squeezing in the quadrature space XY. The extended Mandel parameter is introduced and the photon statistics is scanned at all frequencies. It is established that the sub- and super-Poissonian statistics formation can be determined by the choice of the nonlinear phase addition and initial linear phase shift between pulses. It is also shown that the self-phase modulation (SPM) leads to the additional modulation of total photon number at the outputs of the beam-splitter.