The steady-state squeezing and entanglement properties of the cavity radiation from parametric oscillation

Abstract

In this thesis, we study the quantum properties of the light generated by a para metric oscillation with the cavity mode driven by coherent light beams coupled to a two-mode squeezed vacuum reservoir. Applying the master equation describing the interaction of the cavity modes with the driving coherent light beams and with the two-mode squeezed vacuum reservoir, we obtain the quantum Langevin equations. The solutions of the resulting equations are then used to calculate the mean and vari ance of the photon number, the quadrature variance, global quadrature squeezing and local quadrature squeezing of two-mode cavity light. It is found that the squeezing occurs in the plus quadrature and the driving coherent light beams have no effect on the squeezing properties of the two-mode cavity light. We have found that, at steady state and at threshold, there is a maximum squeezing of the two-mode cavity light when the cavity is coupled to squeezed vacuum reservoir. In general, the degree of squeezing increases with the squeezed parameter whereas the driving coherent light beams and the squeezing parameter have the effect of increasing the mean photon number of the two-mode cavity light.Contents