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Violation of a Bell-like inequality by a combination of Rayleigh scattering with a Mach-Zehnder setup

Rother, Tom (2016) Violation of a Bell-like inequality by a combination of Rayleigh scattering with a Mach-Zehnder setup. Journal of Quantitative Spectroscopy & Radiative Transfer, 178, pp. 66-76. Elsevier. DOI: 10.1016/j.jqsrt.2015.09.002 ISSN 0022-4073

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Official URL: http://dx.doi.org/10.1016/j.jqsrt.2015.09.002

Abstract

In this paper I propose a classical optics experiment that results in a maximum violation of a Bell-like inequality. The first part is concerned with the Bell-like inequality (the so-called CHSH-inequality) itself. Its importance and its maximum violation in Quantum Mechanics (QM) are discussed in detail by employing an abstract probability state concept in a 4-dim. but classical event space. A T-matrix that represents the integral part of a corresponding Green's function as well as a statistical operator that contains a negative quasi-probability can be related to the corresponding quantum mechanical experiment. It is demonstrated that the derivation and usage of the T-matrix and the Green's function are equivalent to what is known from classical scattering theory. It is shown moreover that the negative quasi-probability of the statistical operator may be interpreted as a sink of probabilities related to two single events of the considered 4-dim. event space. A necessary condition for the violation of the CHSH-inequality is derived and discussed afterwards. In the second part of this paper I discuss a modification of the 4-dim. event space considered in the first part. It is shown that a combination of conventional Rayleigh scattering with a Mach-Zehnder setup would be able to put this modification into practice. Thus it becomes possible to achieve a maximum violation of the CHSH-inequality, if formulated in terms of intensities, on a pure classical way. The combination of classical light scattering with correlation experiments such as proposed in this paper may open new ways to study and to use the violation of Bell-like inequalities in modern optics.

Item URL in elib:https://elib.dlr.de/99519/
Document Type:Article
Title:Violation of a Bell-like inequality by a combination of Rayleigh scattering with a Mach-Zehnder setup
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Rother, TomTom.Rother (at) dlr.deUNSPECIFIED
Date:2016
Journal or Publication Title:Journal of Quantitative Spectroscopy & Radiative Transfer
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:178
DOI :10.1016/j.jqsrt.2015.09.002
Page Range:pp. 66-76
Publisher:Elsevier
ISSN:0022-4073
Status:Published
Keywords:Bell's experiment, Rayleigh scattering, Mach-Zehnder interferometry, CHSH-inequality
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Earth Observation
DLR - Research area:Raumfahrt
DLR - Program:R EO - Erdbeobachtung
DLR - Research theme (Project):R - Vorhaben Datenprodukte für Klima- und Atmosphärenanwendungen (old)
Location: Neustrelitz
Institutes and Institutions:Remote Sensing Technology Institute > Atmospheric Processors
Deposited By: Rother, Dr.rer.nat. Tom
Deposited On:19 Nov 2015 09:04
Last Modified:31 Jul 2019 19:56

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