I Subtractive mode intensity interferometry?

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Subtractive mode intensity interferometry proposes a novel approach to the Hanbury-Brown and Twiss experiments by suggesting the subtraction of intensity signals from two detectors instead of multiplication. This method is expected to reveal RMS type noise addition when the detectors are distanced, transitioning to a null signal as they approach coincidence. While the effectiveness of this approach is questioned, the discussion explores its potential viability. The concept challenges traditional methods in intensity interferometry and invites further investigation into its implications. Overall, the idea presents an intriguing alternative to existing experimental techniques.
Swamp Thing
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In the Hanbury-Brown and Twiss (HBT) family of experiments, they multiply the intensity signals from two detectors. Instead, what if we subract the signals? In this case, we should see the RMS type noise addition when the detectors are far apart, decreasing to a null when the detectors are nearly coincident. This may not be optimal, but would it work at all?
 
For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...

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