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arXiv:1312.6357 · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Nonclassical effects in two-photon interference experiments: an event-by-event simulation

Kristel F. L. Michielsen, Fengping Jin, Hans A. De Raedt

Published Oct 1, 2013• 0 citations
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Abstract

It is shown that both the visibility V =1/2 predicted for two-photon interference experiments with two independent sources and the visibility V = 1 predicted for two-photon interference experiments with a parametric down-conversion source can be explained in terms of a locally causal, adaptive, corpuscular, classical (non-Hamiltonian) dynamical system. Hence, there is no need to invoke quantum theory to explain the so-called nonclassical effects in the interference of signal and idler photons in parametric down conversion and a revision of the commonly accepted criterion of the nonclassical nature of light is called for.

DOI
10.1117/12.2021862

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It is shown that both the visibility V =1/2 predicted for two-photon interference experiments with two independent sources and the visibility V = 1 predicted for two-photon interference experiments with a parametric down-conversion source can be explained in terms of a locally causal, adaptive, corpuscular, classical (non-Hamiltonian) dynamical system. Hence, there is no need to invoke quantum theory to explain the so-called nonclassical effects in the interference of signal and idler photons in parametric down conversion and a revision of the commonly accepted criterion of the nonclassical nature of light is called for.
A corpuscular simulation model for second-order intensity interference phenomena is discussed. It is shown that both the visibility V=1/2{\cal V}=1/2V=1/2 predicted for two-photon interference experiments with two independent sources and the visibility V=1{\cal V}=1V=1 predicted for two-photon interference experiments with a parametric down-conversion source can be explained in terms of a locally causal, modular, adaptive, corpuscular, classical (non-Hamiltonian) dynamical system. Hence, there is no need to invoke quantum theory to explain the so-called nonclassical effects in the interference of signal and idler photons in parametric-down conversion. A revision of the commonly accepted criterion of the nonclassical nature of light is needed.
A corpuscular simulation model for second-order intensity interference phenomena is discussed. It is shown that both the visibility V=1/2{\cal V}=1/2V=1/2 predicted for two-photon interference experiments with two independent sources and the visibility V=1{\cal V}=1V=1 predicted for two-photon interference experiments with a parametric down-conversion source can be explained in terms of a locally causal, modular, adaptive, corpuscular, classical (non-Hamiltonian) dynamical system. Hence, there is no need to invoke quantum theory to explain the so-called nonclassical effects in the interference of signal and idler photons in parametric-down conversion. A revision of the commonly accepted criterion of the nonclassical nature of light is needed.
This chapter discusses two reported experiments in which the interference between signal and idler photons generated in the process of parametric down-conversion were investigated. Although two-photon interference effects have been treated theoretically before, it analyzes the two experiments in some detail to show how differences between the predictions of classical and quantum theories appear. The chapter compares the predictions of classical and quantum theories with the experimental results obtained. As practically all detectors of light rely on the photoelectric effect, in which a free electron is produced at the expense of a photon, the photon annihilation operator plays a key role in describing the measurement of light in the quantum theory. The time correlation between signal and idler photons produced in the parametric down-conversion process was first measured with a resolving time of about 10 nanoseconds. The interference effect can be made the basis of a measurement of the length of a photon wave packet with femtosecond time resolution.
In a series of experiments performed by Mandel and co-workers, nonclassical effects have been demonstrated in the interference of two photons generated in a process of parametric down-conversion. The nonclassical effects in the two-photon interference effects can be discussed in the framework of two different descriptions. In the first description, a stochastic theory of electromagnetic field fluctuations can be used in order to calculate the interference pattern. In the second description, a theory of hidden-variable fluctuations can be applied in order to calculate correlations of the interference pattern. A stochastic theory leads to statistical inequalities for the light intensities, while a local hidden-variable theory leads to Bell's inequalities. Using the Schwinger-boson representation of the angular momentum, we show that the two-photon interference effects can be described in terms of spin-correlated states. In particular, we show that the action of a beam splitter on the photons in a parametric down-conversion is equivalent to the production of an entangled state that is very similar to the well-known Einstein, Podolsky, and Rosen spin-singlet state. We show that the stochastic theory of two-photon fluctuations is not equivalent to a hidden-variable theory of photon correlations. We establish a range for which the stochastic theory fails but the hidden-variable theory is still possible. We compare our theoretical predictions with the experimental results and conclude that a violation of the stochastic theory has been clearly observed, while the violation of the hidden-variable theory is less pronounced.