dorsal/arxiv
View SchemaCorrelated observables in single-particle systems and field theoretic interpretations
| Authors | Ian T. Durham |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511048 |
| URL | https://arxiv.org/abs/quant-ph/0511048 |
Abstract
Bell-type experiments that test correlated observables typically involve measurements of spin or polarization on multi-particle systems in singlet states. These observables are all non-commuting and satisfy an uncertainty relation. Theoretically, the non-commuting nature should be independent of whether the singlet state consists of multiple particles or a single particle. Recent experiments in single neutron interferometry have in fact demonstrated this. In addition, if Bell-type inequalities can be found for experiments involving spin and polarization, the same should be true for experiments involving other non-commuting observables such as position and momentum as in the original EPR paper. As such, an experiment is proposed to measure (quantum mechanically) position and momentum for a single oscillator as a means for deriving a Bell-type inequality for these correlated observables. The experiment, if realizable, would shed light on the basic nature of matter, perhaps pointing to some form of self-entanglement, and would also help to further elucidate a possible mechanism behind the Heisenberg uncertainty principle. Violation of these inequalities would, in fact, offer yet another confirmation of the principle.
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"abstract": "Bell-type experiments that test correlated observables typically involve\nmeasurements of spin or polarization on multi-particle systems in singlet\nstates. These observables are all non-commuting and satisfy an uncertainty\nrelation. Theoretically, the non-commuting nature should be independent of\nwhether the singlet state consists of multiple particles or a single particle.\nRecent experiments in single neutron interferometry have in fact demonstrated\nthis. In addition, if Bell-type inequalities can be found for experiments\ninvolving spin and polarization, the same should be true for experiments\ninvolving other non-commuting observables such as position and momentum as in\nthe original EPR paper. As such, an experiment is proposed to measure (quantum\nmechanically) position and momentum for a single oscillator as a means for\nderiving a Bell-type inequality for these correlated observables. The\nexperiment, if realizable, would shed light on the basic nature of matter,\nperhaps pointing to some form of self-entanglement, and would also help to\nfurther elucidate a possible mechanism behind the Heisenberg uncertainty\nprinciple. Violation of these inequalities would, in fact, offer yet another\nconfirmation of the principle.",
"arxiv_id": "quant-ph/0511048",
"authors": [
"Ian T. Durham"
],
"categories": [
"quant-ph"
],
"title": "Correlated observables in single-particle systems and field theoretic interpretations",
"url": "https://arxiv.org/abs/quant-ph/0511048"
},
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