Superposed One-Mode Subharmonic Generators
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Date
2011-06
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Addis Ababa University
Abstract
We study the squeezing and statistical properties of the light produced by one-mode
subharmonic generators. We rst obtain c-number Langevin equations with the aid of
the master equation for a one-mode subharmonic generator. The solutions of the resulting
di erential equations are then used to calculate the quadrature variance and squeezing
spectrum. Furthermore, employing the same solutions, we also obtain the antinormally
ordered characteristic function de ned in the Heisenberg picture. With the help of the
resulting characteristic function, we determine the Q function of the light produced by a
one-mode subharmonic generator. The Q function is then used to calculate the mean and
variance of the photon number and the photon number distribution.
On the other hand, we determine the Q function of the light beams produced by a
pair of one-mode subharmonic generators. Then employing the resulting Q function, we
calculate the mean and variance of the photon number, the photon number distribution,
and the quadrature variance. The mean photon number of the light produced by the two
subharmonic generators turns out to be twice that of the light produced by one-mode
subharmonic generator. In addition, the squeezing of the superposed light beams turns
out to be close to 100% below the coherent-state level
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Keywords
One-Mode Subharmonic Generators