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AIP Conf. Proc., 2012, Volume 1424, 262, 269 pages (Mi api4)  

Distance dependence of entangled photons in waveguides

A. Khrennikova, B. Nilssona, S. Nordeboa, I. V. Volovichb

a International Centre for Mathematical Modelling in Physics and Cognitive Sciences, School of Computer Science, Physics and Mathematics, Linnaes University, SE-35195 Växjö, Sweden
b Steklov Mathematical Institute, Russian Academy of Sciences, Gubkin St. 8, 119991, Moscow, Russia

Abstract: The distance dependence of the probability of observing two photons in a waveguide is investigated and the Glauber correlation functions of the entangled photons are considered. First the case of a hollow waveguide with modal dispersion is treated in detail: the spatial and temporal dependence of the correlation functions is evaluated and the distance dependence of the probability of observing two photons upper bounds and asymptotic expressions valid for large distances are derived. Second the generalization to a real fibre with both material and modal dispersion, allowing dispersion shift, is discussed.

Funding Agency Grant Number
Linnaeus University
One of the authors (I. Volovih) would like to thank the International Centre for Mathematical Modelling in Physics and Cognitive Sciences for the support during his visit to Linnaeus University.


DOI: https://doi.org/10.1063/1.3688979


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Document Type: Article
Language: English

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