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Home Jack Sarfatti's Blog Blog (Full Text Display) More details on modulating the entanglement signal in Kaiser's Fig. 9.1

Jun
30

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Let n1 = n2 = n equal intensity at both the transmitter A and receiver B slits.

The overlap nonlocal modulation control parameter from the over-complete Glauber laser states is

(A1|A2) ~ exp{ - n[(1 - e^i(@1 - @2)]} + exp{ - n[(1 - e^-i(@1 - @2)]}

& = @1 - @2

(A1|A2) ~ exp{ - n[(1 - cos& - isin&)} + exp{ - n[(1 - cos& + isin&)}

~ e^-n(1 - cos&){e^insin& + e-insin&}

(A1|A2) ~ 2cos(nsin&)e^-n(1 - cos&)

Obviously, we need to exploit the periodicity in (A1|A2) and the exponential works against us except when cos & ~ +1 where the exponential periodically peaks at 1. That is the relative phase & at each of the screens must be an integer multiple of 2pi i.e. constructive interference peaks.

Note that when & = 0, (A1|A2) ~ 2, which is a fortunate result independent of n when we switch off the transmitter Heisenberg microscope.

For the fringe spacings see http://en.wikipedia.org/wiki/Double-slit_experiment

See also the pdf uploaded today June 30, 2011 to physics section of the library below.