Re: Double Slit variant

From: Caroline Thompson (ch.thompson1_at_virgin.net)
Date: 11/14/04


Date: Sun, 14 Nov 2004 13:08:01 +0000 (UTC)


"Blake Winter" <blake.winter@houghton.edu> wrote in message
news:87423d2a.0411121006.3602e941@posting.google.com...

> Let's say we have a source of back-to-back equal energy,
> opposite momentum photons ... These photons are clearly
> entangled. Now let's put a double slit diffraction
> experiment on two sides of the source, so that we can do
> double slit diffraction with each photon from the same event.
> We see the usual patterns build up, and nothing particularly
> odd happens.
>
> [double slit experiment] *source* [double slit experiment]
>
> However, let's say that on the experiment on the left we
> decide to determine which slit the particle passes through.
> It strikes me that because of the correlation between
> the photons, if we know which direction the photon going
> left went, we know that the photon going right had to go
> the opposite direction, and therefore we know which
> slit it passed through. Now, we know that on the experiment
> on the left the interference pattern disappears, but would
> not the interference pattern disappear on the right even
> though we have changed nothing there? In other words,
> we change the probability distribution on the experiment
> in the left by placing a detector in each slit. From
> conservation laws, we can then figure out which slit
> the photon on the right went through. Then the probability
> distribution on the right should no longer correspond to
> the usual double slit pattern.
>
> This seems reasonable to me (as in, I don't see why my
> conclusion is wrong).

Didn't Popper suggest a rather similar experiment?

> However, it does seem to violate locality in a noticeable
> way, because by measuring the probability distribution
> on the right, we can tell whether a measurement of which
> slit is made on the left without comparing our data from
> the right with the data from the left. This would open the
> possibility of sending real information faster than light,
> which seems like a bad thing. So my conclusion would be
> offhand that this couldn't happen, but I can't actually
> figure out quantum mechanically why this wouldn't work.
> Are there any ideas?

I don't know what QM has to say on the matter, but it wouldn't work for the
good reason that light is really just a wave. The existence of photons is
an illusion created by the detectors. Moreover, there is no conclusive
evidence that quantum entanglement *ever* happens, since all existing
experiments have had "loopholes".

The struggle to find conclusive evidence, in the form of loophole-free Bell
tests, has been going on now for over 30 years. For a realist view on this
see Emilio Santos' latest article:
Santos, E, "Bell´s theorem and Increasing empirical support to local
realism?", http://arXiv.org/abs/quant-ph/0410193

I don't agree with all that he says but his conclusion is logical:
" The validity of local realism may be either refuted by a single
loophole-free experiment or increasingly confirmed by the passage of time
without such an experiment."

For the latest ideas for loophole-free tests see:
R. García-Patrón Sánchez, J. Fiurácek , N. J. Cerf , J. Wenger , R.
Tualle-Brouri , and Ph. Grangier, "Proposal for a Loophole-Free Bell Test
Using Homodyne Detection", Phys. Rev. Lett. 93, 130409 (2004)
http://arxiv.org/abs/quant-ph/0403191

for which more detail is available in:
R. Garcia-Patron, J. Fiurasek, N.J. Cerf, "Loophole-free test of quantum
non-locality using high-efficiency homodyne detectors",
http://arxiv.org/abs/quant-ph/0407181

Caroline
Caroline H Thompson

ch.thompson1@virgin.net
http://freespace.virgin.net/ch.thompson1/



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