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Experimental test of Bell's inequality based on color

John Rarity, P. R. Tapster

Published May 21, 1990• 0 citations
OpenAlex

Abstract

Nondegenerate parametric downconversion can be thought of as a process where single pump photons are downconverted to pairs of longer wavelength photons that are emitted simultaneously in directions satisfying the phase matching conditions and energy conservation. Pair photons can be selectively detected using suitably placed single photon counting detectors and coincidence counting techniques.

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Nondegenerate parametric downconversion can be thought of as a process where single pump photons are downconverted to pairs of longer wavelength photons that are emitted simultaneously in directions satisfying the phase matching conditions and energy conservation. Pair photons can be selectively detected using suitably placed single photon counting detectors and coincidence counting techniques.
Quantum mechanical models of beam splitters1 predict interesting fourth-order interference effects when nonclassical light is used. If indistinguishable one-photon states are simultaneously input into each port of a 50/50 beam splitter, the theory predicts that each output will contain either two photons or none. A naive (particle) theory would predict a mixture of two’s and one’s. The required |1,1〉 photon state can be selected in nondegenerate parametric downconversion experiments by photon-counting coincidence detection. The disappearance of this coincidence after a beam splitter has recently been studied,1-2 and the range of path length differences over which the effect can be seen is related by Fourier transform to the photon bandwidth. In our work the bandwidth is not limited by external filters, and we have developed a theory which relates the measured photon length to the geometry of the apparatus and the detailed phase matching conditions at the parametric crystal. This theory of phase matching viewed through a beam splitter produces some unexpected results when the beam splitter is tilted and when large aperture detectors are considered.
It has been known for some time that correlated detection of pairs of photons generated by parametric down-conversion can eliminate several sources of error that occur in single-beam measurements. In the correlated photon measurements, the down-converted photons are separated into two beams with one photon of a pair in each beam. The absolute detection efficiency of a detector in one beam can be determined from the count rate of a detector in the other beam and the coincidence rate for the two detectors. These ideas can be used to measure the optical absorbance of a sample placed in front of one of the detectors. Errors due to stray light and dark counts are substantially reduced and fluctuations in pump intensity largely eliminated.
Parametric downconversion is a nonlinear optical process in which three fields are involved: pump, signal, and idler. The signal and idler separately may have fairly large uncertainty of frequencies and momenta, but if one frequency or momentum is measured, the other one is known with certainty because of the phase matching conditions whose physical meanings are momentum and energy conservations. In addition, the signal and idler pair was also shown to "remember" the phase of the pump photon.
Spontaneous parametric downconversion At the heart of all quantum optics experiments is called as Spontaneous parametric downconversion. This is a downconversion process when the output frequency is smaller than the input frequency. The whole process is Spontaneous. Experimentally we have to downconvert the photons and convert them into pairs of a photon. We use the Beta-barium borate(BBO) crystals to downconvert the coming violet-blue laser. We find the maximum number of counts on detectors and their coincidence. When the BBO crystals is well aligned, we find no difference in detecting vertically or horizontally polarized photons because they are orthogonal to each other. Proof of existence of photons We want to investigate the properties and verification of quantization of light. Experimently we want to establish the existence of single photon which shows the grainy-ness of individual photon quantum mechanically and shows wave like behaviour classically. We get the coincidences counts on detectors with addition of detector B’ by using PBS in the path of signal beam. Experimentally we prove the Quantum as well as classical nature of light by the measurement of second-order degree coherence in light g2(0). For classically the g2(0)≥1 and quantum mechanically g2(0)=0.When we add the delay time interval of 1ns after reflected and transmitted photons from PBS signal beam. The delay generator did not create a significant difference in the coincidence counts detection in the value of g2(τ ). Single photon interference and quantum eraser we want to observe the interference by making the single photons pass through the interferometer, and we will see the interference of the single photons. If the light passes through the interferometer, the visibility of the interference pattern to which extent these fringes are observed is dependent on the extent to which the ’which-way’ or ’which-path’ information is available to the experimenter. If the observer knows the information about the ’which-way’ of the light path, then we cannot observe the inference pattern. Because we only can make an interference pattern if we erase the which-way information of the light path. If you erase the information about the’ which-way,’ we can observe a very high interference pattern. We can erase the information about the light path’s ’which-way’ or ’which-path’ by using a polarizer and orienting at 45o. In this way, we can observe a very high pattern. If we introduce the angle of the polarizer at 0o or 90o, we see very low interference.
In the process of parametric downconversion in a nonlinear crystal, incident photons split up into two lower frequency photons that emerge in different directions. Because the downconverted photons appear simultaneously, an optical communication channel based on transmission and simultaneous detection of these photon pairs should be able to achieve great discrimination against background. Indeed, it should be able to operate even in conditions in which the light signal would otherwise be lost in the noise. Such a communication channel requires relatively few photons per second and could be almost interception proof. The feasibility of the idea has been explored experimentally, and the results involving photoelectric coincidence counting measurements are presented.