Two-mode Coherent And Laser Light Beams

In this thesis we study the statistical properties of two-mode coherent and laser lightrnbeams in a cavity coupled to two-mode vacuum reservoir. We obtain c-number Langevinrnequations using the pertinent master equation. Making use of the solutions of the resultingrnc-number Langavien equations, we calculate the antinormally ordered characteristicrnfunction de ned in Heisenberg picture. With the help of this characteristic function, werndetermine the Q function for a two-mode coherent light as well as for a two mode laserrnlight. Then the Q function is used to calculate the mean and variance of the photonrnnumber sum and di erence.rnOn the other hand, using the aforementioned Q functions, we determine the Q functionrnfor the superposition of two-mode coherent and laser light beams. Finally, using thernresulting Q function, we obtain the mean and the variance of the photon number sumrnand di erence

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