QUANTUM AND STATISTICAL PROPERTIES OF THREE-LEVEL LASER DRIVEN BY COHERENT LIGHT

Abstract

We have analyzed the quantum and statistical properties of the cavity light beam produced by a coherently driven degenerate three-level laser with a degenerate parametric ampli er(DPA) in a closed cavity and coupled to a squeezed vacuum reservoir via a single-port mirror. Applying the large-time approximation scheme, we have obtained the steady-states olutions of the equations of evolution for the expectation values of the atomic operatorsand the quantum Langevin equations for the cavity mode operators. We calculated themean photon number, photon number variance, quadrature variance, and quadratu resqueezing for the cavity light using the steady-state solutions. We have seen that the light generated by the three-level laser is in a squeezed state and the squeezing occurs in the minus quadrature. The maximum quadrature squeezing of light generated by three levelatom is 60% below vacuum-state level. The parametric ampli er and stimulated emissionrate increase the mean and photon number variance, whereas the squeezing parameterdecreases mean and photon number variance. It so turns out that the parametric ampli erincreases the squeezing signi cantly. It is also found that one e ect of the coupling of thetop and bottom levels is to increase the mean and photon number variance