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Two-photon Franson-type experiments and local realism
Fundamenten van de Exacte Wetenschappen, Vrije Universiteit Brussel, Brussel, Belgium.
Los Alamos National Laboratory, Los Alamos, New Mexico.
Linköpings universitet, Matematiska institutionen. Linköpings universitet, Tekniska högskolan.ORCID-id: 0000-0002-1082-8325
Instytut Fizyki Teoretycznej i Astrofizyki Uniwersytet Gdański, Gdańsk, Poland .
1999 (Engelska)Ingår i: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 83, nr 15, s. 2872-2876Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

The two-photon interferometric experiment proposed by J. D. Franson [Phys. Rev. Lett. 62, 2205 (1989)] is often treated as a “Bell test of local realism.” However, it has been suggested that this is incorrect due to the 50% postselection performed even in the ideal gedanken version of the experiment. Here we present a simple local hidden variable model of the experiment that successfully explains the results obtained in usual realizations of the experiment, even with perfect detectors. Furthermore, we also show that there is no such model if the switching of the local phase settings is done at a rate determined by the internal geometry of the interferometers.

Ort, förlag, år, upplaga, sidor
American Physical Society, 1999. Vol. 83, nr 15, s. 2872-2876
Nationell ämneskategori
Matematik
Identifikatorer
URN: urn:nbn:se:liu:diva-38609DOI: 10.1103/PhysRevLett.83.2872Lokalt ID: 44986OAI: oai:DiVA.org:liu-38609DiVA, id: diva2:259458
Tillgänglig från: 2009-10-10 Skapad: 2009-10-10 Senast uppdaterad: 2019-08-16Bibliografiskt granskad
Ingår i avhandling
1. Quantum paradoxes, probability theory, and change of ensemble
Öppna denna publikation i ny flik eller fönster >>Quantum paradoxes, probability theory, and change of ensemble
2000 (Engelska)Doktorsavhandling, sammanläggning (Övrigt vetenskapligt)
Abstract [en]

In this thesis, the question "What kind of models can be used to describe microcosmos?" will be discussed. Being difficult and very large in scope, the question has here been restricted to whether or not Local Realistic models can be used to describe Quantum-Mechanical processes, one of a collection of questions often referred to as Quantum Paradoxes. Two such paradoxes will be investigated using techniques from probability theory: the Bell inequality and the Greenberger-Horne-Zeilinger (GHZ) paradox.

A problem with the two mentioned paradoxes is that they are only valid when the detectors are 100% efficient, whereas present experimental efficiency is much lower than that. Here, an approach is presented which enables a generalization of both the Bell inequality and the GHZ paradox to the inefficient case. This is done by introducing the concept of change of ensemble, which provides both qualitative and quantitative information on the nature of the "loophole" in the 100% efficiency prerequisite, and is more fundamental in this regard than the efficiency concept. Efficiency estimates are presented which are easy to obtain from experimental coincidence data, and a connection is established between these estimates and the concept of change of ensemble.

The concept is also studied in the context of Franson interferometry, where the Bell inequality cannot immediately be used. Unexpected subtleties occur when trying to establish whether or not a Local Realistic model of the data is possible even in the ideal case. A Local Realistic model of the experiment is presented, but nevertheless, by introducing an additional requirement on the experimental setup it is possible to refute the mentioned model and show that no other Local Realistic model exists.

Ort, förlag, år, upplaga, sidor
Linköping: Linköpings universitet, Matemantiska insitutionen, 2000. s. 92
Serie
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 654
Nationell ämneskategori
Matematik
Identifikatorer
urn:nbn:se:liu:diva-38597 (URN)44907 (Lokalt ID)917219846X (ISBN)44907 (Arkivnummer)44907 (OAI)
Disputation
2000-11-10, Hörsal Planck, Fysikhuset, Linköpings Universitet, Linköping, 13:15 (Svenska)
Opponent
Tillgänglig från: 2009-10-10 Skapad: 2009-10-10 Senast uppdaterad: 2020-04-06Bibliografiskt granskad

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