Test of Bell's Theorem: Experiments Beyond Polarization

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Discussion Overview

The discussion revolves around the testing of Bell's theorem, specifically focusing on whether experiments have been conducted on properties of particles other than polarization. Participants explore the implications of local hidden variables and the nature of quantum observables in these tests.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that most experiments testing Bell's theorem focus on the local hidden variables assumption related to photon polarization.
  • Another participant confirms that experiments on properties other than polarization have indeed been conducted, providing links to relevant studies.
  • A further contribution mentions that there are numerous tests of local realism on various systems, suggesting that entanglement can lead to different inequalities.
  • Participants discuss the nature of the properties being tested, indicating that they are quantum observables and may include composite properties.
  • There is a distinction made regarding the assumption that the observable exists independently of observation, which relates to the concept of non-contextuality.

Areas of Agreement / Disagreement

Participants generally agree that experiments beyond polarization exist, but there is some uncertainty regarding the nature of the properties being tested and the implications of these tests on local realism.

Contextual Notes

Some limitations include the dependence on definitions of observables and the unresolved nature of how different properties relate to the local realism assumption.

Dadface
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As I understand it most, if not all, experiments carried out to test Bells theorem test the local hidden variables assumption that photons have definite polarisations. What I would like to know is whether experiments on properties other than polarisation have been carried out. If not are there any properties that in principle can be tested? Thank you for reading this.
 
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Dadface said:
As I understand it most, if not all, experiments carried out to test Bells theorem test the local hidden variables assumption that photons have definite polarisations. What I would like to know is whether experiments on properties other than polarisation have been carried out. If not are there any properties that in principle can be tested?

As DrClaude has said, there are others. In fact, probably at least a hundred other tests of local realism (local hidden variables) that have been made on photons, as well as all manner of other systems. Virtually any kind of entanglement leads to an inequality, and I see new ones all the time. It's really just a question of how many and/or how different/unique/interesting you want to see. Here's a few more:

Massive entangled particles (9Be+ ions)
http://www.nature.com/nature/journal/v409/n6822/full/409791a0.html

Two ultracold neutral atoms
https://arxiv.org/abs/1507.05586

Light-matter micro-macro entangled state
https://arxiv.org/abs/1510.02665
 
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Thank you very much DrClaude and DrChinese. Am I correct in assuming that all of these experiments test the local realism assumption that light or macro particles or whatever it is being investigated have definite properties?
 
Dadface said:
Thank you very much DrClaude and DrChinese. Am I correct in assuming that all of these experiments test the local realism assumption that light or macro particles or whatever it is being investigated have definite properties?

Yes and no. The properties being tested are a quantum observable of some type. Besides the usual position, momentum, spin, etc there are some that are composite in some manner.

And the test assumes the observable exists independent of the act of observation. I.e. that it is non-contextual, which is to say realistic in this usage of the term.
 
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Great stuff, thank you DrChinese.
 

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