Superposition of Second Harmonic Light Beam with Twin One-mode Subharmonic Light Beams

Abstract

In this thesis, we have seen the Hamiltonian and the master equation for the second harmonic light beam and one-mode subharmonic light beams coupled to vacuum reservoir. Employing the master equation, we have determined the c-number Langevin equation for the second harmonic light beam and one-mode subharmonic light beams. Using the solution of c-number Langevin equation we established the Q function and then we calculated the mean photon number, the variance of photon number and the quadrature fluctuation for both second harmonic light beam and one-mode subharmonic light beams. Finally, we have determined the density operator for the superposition of second harmonic light beam and one-mode subharmonic light beams. Using the superposed density operator, we have calculated the mean photon number, the variance of photon number and the quadrature fluctuation for superposed light beams. We found that the mean photon number is a simple sum of the mean photon number of the separate lights at steady state and the degree of squeezing for superposed light beam is 55:57% at threshold and steady state.