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- Newsgroups: sci.physics
- Path: sparky!uunet!sun-barr!ames!riacs!danforth
- From: danforth@riacs.edu (Douglas G. Danforth)
- Subject: Re: Bell dethroned
- Message-ID: <1992Jul30.062103.3181@riacs.edu>
- Sender: news@riacs.edu
- Organization: RIACS, NASA Ames Research Center
- References: <1992Jul27.041310.7281@riacs.edu> <Jul.29.19.10.15.1992.21798@ruhets.rutgers.edu>
- Date: Thu, 30 Jul 92 06:21:03 GMT
- Lines: 113
-
-
- ]From sci.physics Wed Jul 29 22:44:18 1992
- ]From: bweiner@ruhets.rutgers.edu (Benjamin Weiner)
- ]Date: 29 Jul 92 23:10:16 GMT
- ]Newsgroups: sci.physics
- ]Subject: Re: Bell dethroned
- ]
- ]I imagine none of the sci.physics "gurus" have taken a crack at this
- ]because it's an old idea, the post is confusing and cries out for
- ]graphics,
-
- I agree. One can build two embedded plastic cylinders using overhead
- transparencies that clarifies the model.
-
- ] and they all have real work to do. I, on the other hand,
- ]only have a qualifying exam to study for !)
- ]
- ]The assumptions leading to the Bell inequalities do include perfect
- ]detector efficiency. However, since real detectors are, well, real
- ]detectors, useful derivations of the inequalities include a detector
- ]efficiency factor. (This is, as I recall, especially important
- ]because you need to do coincidence counting to make sure you only
- ]count photons that are genuinely paired, and inefficient detectors
- ]will decrease your coincidences.) This is all quite well understood.
-
- Yes.
-
- ]
- ]It has also been understood for a LONG time that inefficient detection
- ]opens the door for claims that, essentially, you're missing the
- ]photons that make the difference. The first Bell-inequality
- ]experiments (Clauser and Horne? Clauser, Holt, Shimony, and Horne)
- ]had considerably lower detection efficiency than Aspect.
- ]The assumption that somehow the missing photons would tip the scales
- ]was generally disregarded as paranoid. (Aspect's advance was to
- ]switch detector settings during photon time-of-flight; some people on
- ]this group don't think he did it right, but it is immaterial for this
- ]discussion. You need the time-of-flight switch to rule out speed-of-
- ]light wavefn collapse, but not to rule out generic hidden variables.)
- ]
- ]Regardless of the niceties, one has to assume some kind of no-
- ]mechanism, angle-dependent variation of detector efficiency, in order
- ]to reconcile hidden-variables with QM in this experiment. Danforth's
- ]particular choice is this "crown model." My opinion is, sure, if you
- ]can assume variable efficiency
-
- The model does not use variable efficiency. Each detector has a
- fixed efficiency equal to 81.8%.
-
- ] you can make the results do whatever
- ]you want. Why should the detectors be variably efficient? Shouldn't
- ]this happen with any old photons, not just correlated photons?
-
- Yes.
-
- ]Shouldn't, then, one be able to test this by putting a detector in
- ]front of a known source, and just rotating the damn detector?
-
- Test what. The Crown model predicts that rotating a single detector
- does not change the counts observed at that detector.
-
- ]
- ]How can anyone possibly presume to DERIVE the efficiency of a
- ]detector?
-
- Because the model specifies a specific pattern of response in
- the hidden variable space. The effeciency "derived" is the maximum
- efficiency allowed by the model that will still give the quantum results.
- One can lengthen the base of each crown and lower the efficiency arbitarily
- to zero. The quantum results are retain as the efficiency is decreased.
-
- ] Do you suppose Aspect's detectors magically had the same
- ]efficiency as, much earlier, Clauser's?
-
- No. There is a range of efficiencies possible that still admit
- realistic local theories for this two particle correlation experiment.
-
- ] Some of the experiments used
- ]spin-1/2 atoms, I believe. One wonders if the atoms and their
- ]detectors could be following the very same rules. An argument that
- ]relies on conspiracy between the detector and the detectee is no
- ]argument at all.
-
- There is no conspiracy in the crown model.
-
- ]
- ]Finally, aficionados of EPR-tricks should read Greenberger, Horne,
- ]Shimony, and Zeilinger's paper (Am J Phys 58, 1131) along with
- ]Mermin's treatments (Am J Phys 58, 731; PRL 65, 3373) which show that
- ]it is possible to construct a simple system of 3 particles of spin 1/2
- ]and make certain measurements such that QM predicts a -1 correlation
- ]and hidden-variables predict a +1 correlation.
-
- I can't speak to this issue.
-
- ] That is, one could
- ]never trick up hidden variables to reproduce QM in this case. I
- ]rather doubt anyone will be able to devise an experiment that
- ]reproduces this system, but I could be wrong.
- ]
- ]Ben Weiner
- ]
-
- I would like to mention that I had a lovely talk this afternoon with an
- experimentalist who has done EPR tests (I don't have permission to mention
- who). He liked the Crown model and suggested I publish.
-
- To summarize: Experiments of sufficient detector efficiency have not
- yet been performed (to my knowledge) (and this includes Aspect's 1982)
- to rule out local realistic models.
-
-
- - Douglas Danforth
-