Self- and cross-phase modulation of ultrashort light pulses in an inertial Kerr medium: spectral control of squeezed light

摘要

Quantum theory of self-phase and cross-phase modulation of ultrashort lightpulses in the Kerr medium is developed with taking into account the responsetime of an electronic nonlinearity. The correspondent algebra of time-dependentBose-operators is elaborated. It is established that the spectral region of thepulse, where the quadrature fluctuations level is lower than the shot-noiseone, depends on the value of the nonlinear phase shift, the intensity ofanother pulse, and the relaxation time of the nonlinearity. It is shown thatthe frequency of the pulse spectrum at which the suppression of fluctuations ismaximum can be controlled by adjusting the other pulse intensity.