AAWSAP DIRD, Quantum Tomography of Negative Energy States in the Vacuum, January 2011

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polarization of the signal field S. The subsequent PBS2 separates the two orthogonally
polarized signals, which are detected at the photodiodes PDx and PDy. The charge
collected at point V (corresponding to point Pin Figure 15) provides a measure of
(l)Grd (and its higher moments). Note that the setup is arranged in such a way, that if
S happened to be a monochromatic coherent state, then it would be phase-matched to
the LO at the point x, but shifted in phase by n at the pointy.
Figure 19 displays Marecki's computer model plot of the predicted Casimir spectral
density as a function of the distance from the plates x and the frequency co. For a
comparison with quantum optics literature, he plotted the normalized difference
between the vacuum and ground state spectral density in the figure (see References [5]
and [6] for more detail). Note in the figure that for co< rec/a, the Casimir spectral
l
l
density vanishes: aa,.ico,x,x) =0, while discontinuities in it appear at co = nrcc/a.
Figure 20 displays the corresponding computer model plot by Marecki of the predicted
"suppressed" vacuum fluctuations in the ground state relative to "undisturbed" vacuum
r r
r r
fluctuations (in absence of the plates) in dB, l0Log 10 [ crc,,i@,x, x)/crvacCco,x,x)].
1mm
y-Direction
Casimir plate
TEl coherent field (Local Osclllator)
lµm
x-Dlrectlon
Figure 16. Diagram of Casimir Cavity with BHD Photodiodes. (courtesy of P.
Marecki)
Side view:
-1000
-500
500
1000
o y [µm]
Figure 17. Experimental Setup of BHD Photodiodes and LO Field. (courtesy of P.
Marecki) This setup is drawn on the plot of the y-component of the electric field of the
TEl mode of the Casimir cavity. The mode, serving as the LO, propagates in the z­
direction perpendicular to the plot.
1.0
,....., 0.8
[ 0.6
';;' 0.4
0.2
0.0
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