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Title:  TwoMode Coherent and Squeezed Vacuum States 
Authors:  Alelign, Worku 
Advisors:  Dr. Fesseha Kassahun 
Keywords:  Q function mean of the photon number 
Copyright:  Jun2011 
Date Added:  8Dec2012 
Publisher:  AAU 
Abstract:  Using the antinormallyordered characteristic function, we have determined the Q function
for a twomode coherent state as well as a twomode squeezed vacuum state. Using the
pertinent Q function, we have calculated the quadrature variance, the mean and the
normallyordered variance of the photon number sum and di erence. Furthermore, we
have obtained the Q function for the superposition of twomode coherent and squeezed
vacuum states. Employing the resulting Q function, we have calculated the quadrature
variance, the mean and the normallyordered 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 twomode coherent and squeezed vacuum states is the same as that of
the twomode coherent state. The quadrature variance for the superposition of twomode
coherent and squeezed vacuum states is the same as that of a twomode squeezed vacuum
state. 
Description:  A Thesis Submitted to the
School of Graduate Studies
Addis Ababa University
In Partial Ful llment of the Requirement for
the Degree of Master of Science in Physics 
URI:  http://hdl.handle.net/123456789/4217 
Appears in:  Thesis  Physics

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