Superposed Degenerate Three-level Lasers

In this thesis we study the statistical and squeezing properties of the light producedrnby a degenerate three-level laser. Using the solutions of c-number Langevin equations,rnwe have calculated antinormally ordered characteristic function. Then employing thernresulting characteristic function, we obtain the Q-function. Applying the Q-function, wernhave calculated the mean photon number, the variance of phototn number, the photonrnnumber distribution and the quadrature variance. We have found that the light mode isrn47:9% squeezed below the coherent state level at steady state for A = 3 and = 0:8. Itrnis observed that the degree of squeezing increases with the linear gain coe cient(A).rnWe have determined the Q-function for the superposition of the light beams producedrnby two degenerate three-level lasers. Using this Q-function, we have calculated the meanrnnumber of photons, the variance of photon number, the photon number distribution andrnquadrature variance. We have found that the steady state mean photon number is arnsimple sum of the mean photon numbers of the two light beams. The squeezing of thernsuperposed light mode increases with the linear gain coe cient. It is found that for A = 3rnand = 0:8, the squeezing is 95:8% below the coherent state level

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