Two-Mode Coherent and Squeezed Vacuum States
No Thumbnail Available
Date
2011-06
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Addis Ababa University
Abstract
Using the antinormally-ordered characteristic function, we have determined the Q function
for a two-mode coherent state as well as a two-mode squeezed vacuum state. Using the
pertinent Q function, we have calculated the quadrature variance, the mean and the
normally-ordered variance of the photon number sum and di erence. Furthermore, we
have obtained the Q function for the superposition of two-mode coherent and squeezed
vacuum states. Employing the resulting Q function, we have calculated the quadrature
variance, the mean and the normally-ordered variance of the photon number sum and
di erence.
We have found that the mean of the photon number sum for the superposition of two-
mode coherent and squeezed vacuum states is the sum of the mean of the photon number
sums for the individual states. And the mean of the photon number di erence for the
superposition of two-mode coherent and squeezed vacuum states is the same as that of
the two-mode coherent state. The quadrature variance for the superposition of two-mode
coherent and squeezed vacuum states is the same as that of a two-mode squeezed vacuum
state
Description
Keywords
Two-Mode Coherent and Squeezed