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Emerging quantum mechanics: Coefficient of second-order coherence from classical random fields interacting with threshold type detectors
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
2014 (English)In: International Journal of Quantum Information, ISSN 0219-7499, Vol. 12, no 07n08, article id 1560007Article in journal (Refereed) Published
Abstract [en]

This paper is a contribution to the project "emergent quantum mechanics" unifying a variety of attempts to treat quantum mechanics (QMs) as emergent from other theories pretending on finer descriptions of quantum phenomena. More concretely it is about an attempt to model detection probabilities predicted by QM for single photon states by using classical random fields interacting with detectors of the threshold type. Continuous field model, prequantum classical statistical field theory (PCSFT), was developed in recent years and its predictions about probabilities and correlations match well with QM. The main problem is to develop the corresponding measurement theory which would describe the transition from continuous fields to discrete events, "clicks of detectors". Some success was achieved and the click-probabilities for quantum observables can be derived from PCSFT by modeling interaction of fields with the threshold type detectors. However, already for the coefficient of second-order coherence g(2) (0) calculations are too complicated and only an estimation of g(2)(0) obtained. In this paper, we present results of numerical simulation based on PCSFT and modeling of interaction with threshold type detectors. The "prequantum random field" interacting with a detector is modeled as the Brownian motion in the space of classical fields (Wiener process in complex Hilbert space). Simulation for g(2)(0) shows that this coefficient approaches zero with increase of the number of detections.

Place, publisher, year, edition, pages
World Scientific, 2014. Vol. 12, no 07n08, article id 1560007
Keywords [en]
Foundations of quantum mechanics; single photon state; second order coherence; numerical simulation; Brownian motion; classical fields; threshold detector; density operator; covariance operator
National Category
Mathematics Atom and Molecular Physics and Optics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-42198DOI: 10.1142/S0219749915600072ISI: 000351136900008Scopus ID: 2-s2.0-84928626708OAI: oai:DiVA.org:lnu-42198DiVA, id: diva2:802525
Available from: 2015-04-13 Created: 2015-04-13 Last updated: 2017-04-12Bibliographically approved

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Khrennikov, Andrei

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CiteExportLink to record
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  • apa
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