Two-Mode Coherent and Laser Light Beams
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Date
2011-06
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Addis Ababa University
Abstract
In this thesis we study the statistical properties of two-mode coherent and laser light
beams in a cavity coupled to two-mode vacuum reservoir. We obtain c-number Langevin
equations using the pertinent master equation. Making use of the solutions of the resulting
c-number Langavien equations, we calculate the antinormally ordered characteristic
function de ned in Heisenberg picture. With the help of this characteristic function, we
determine the Q function for a two-mode coherent light as well as for a two mode laser
light. Then the Q function is used to calculate the mean and variance of the photon
number sum and di erence.
On the other hand, using the aforementioned Q functions, we determine the Q function
for the superposition of two-mode coherent and laser light beams. Finally, using the
resulting Q function, we obtain the mean and the variance of the photon number sum
and di erence
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Keywords
Two-Mode Coherent