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arXiv:quant-ph/9909090

A Co-Operative Phenomena Type Local Realistic Theory

V. Buonomano

Published Sep 29, 1999• 0 citations
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Abstract

We analyze a conceivable type of local realistic theory, which we call a co-operative phenomena type local realistic theory. In an experimental apparatus to measure second or fourth order interference effects, it images that their exists a stable global pattern or mode in a hypothesized medium that is at least the size of the coherence volume of all the involved beams. If you change the position of a mirror, beam splitter, polarizer, state preparation, or block a beam then a new and different stable global state is entered very quickly. In an interferometer a photon passes only one arm of the apparatus but knows if the other arm is open or closed since the global pattern through which it travels through contains this information and guides it appropriately. In a polarization correlation experiment, two distant polarizers are part of the same global pattern or state which is very rapidly determined by the whole apparatus. It is experimentally testable. The situation in relationship to the special relativity is also discussed.

DOI
10.48550/arxiv.quant-ph/9909090

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We analyze a conceivable type of local realistic theory, which we call a co-operative phenomena type local realistic theory. In an experimental apparatus to measure second or fourth order interference effects, it images that their exists a stable global pattern or mode in a hypothesized medium that is at least the size of the coherence volume of all the involved beams. If you change the position of a mirror, beam splitter, polarizer, state preparation, or block a beam then a new and different stable global state is entered very quickly. In an interferometer a photon passes only one arm of the apparatus but knows if the other arm is open or closed since the global pattern through which it travels through contains this information and guides it appropriately. In a polarization correlation experiment, two distant polarizers are part of the same global pattern or state which is very rapidly determined by the whole apparatus. It is experimentally testable. The situation in relationship to the special relativity is also discussed.
The quantum theory of fourth-order interference of light is presented in a general format and compared with classical wave theory. The conditions under which nonclassical phenomena occur are discussed. In particular, the interference between the quantum field and classical field may give rise to a nonclassical effect. For some special states of light, the interference pattern does not disappear even though one field is much stronger than the other, for which no classical analog exists. Fourth-order effects in the interference between two independent fields are analyzed in detail. It is pointed out that the fourth-order interference between independent fields will not disappear when the integration time of detection is of the order of the reciprocal bandwidth of the two light fields as long as the spectra of the two fields are symmetric around the same center frequency, and for some correlated fields, the interference does not vanish even if the detection time is much larger than the reciprocal bandwidth of the fields. A new type of fourth-order interference experiment involving a beam splitter is proposed in which local realism of the Einstein-Podolsky-Rosen form is violated for quantum mechanics. This general argument is then applied to the interference between two photons generated in the parametric down-conversion process. The possibility of violations of Bell's inequalities in interference experiments is investigated.
Spontaneous parametric down-conversion is a convenient source of pairs of entangled photons. Within special interferometric configurations involving either two sources of this kind or double emissions from such a source, one can observe three-photon Greenberger-Horne-Zeilenger--type interference effects. Unfortunately, events of some other types necessarily occur. It is shown that under specific operational conditions, thus far not met by the experiments, the entirety of the phenomena observed in such experiments has no local realistic model. However, one can show this only by analyzing the entire pattern of all events predicted by quantum mechanics.
Measurements of the polarization correlation of the two-photons emitted simultaneously by metastable atomic deuterium in a true second order radiative process, are described. Two experiments, one involving the use of a half-wave plate and two linear polarizers, and the other three linear polarizers. have been carried out to investigate the validity of quantum mechanics in hitherto unexplored situations and to test local realistic theories of the type recently proposed by Garucclo and Selleri. The result, of the experiment. provide clear evidence against local realistic theories in which the probability of detection is postulated to be dependent on the angle between a polarization vector I. and a detection vector λ- The quantum mechanical predictions for such experiments, in which non-ideal analysers, were employed, have also been established and have been shown to be in agreement with the experimental results. In addition. the results of circular polarization \nmeasurements confirm the conservation of angular momentum along the common axis of detection and give further verification of the correctness of the form of the state vector describing the state of polarization of the two-photons. In another experiment, the effect of an electric field on the polarization properties of the two-photons has been measured for the first time. The Stoke's parameters characterizing the two-photon beam have been determined and the results suggest that the two-photon radiation is partially polarized at 22.5o with respect to the electric field vector. It is suggested that the affect is due to the removal of the degeneracy of the virtual Intermediate P states of the deuterium atom.
In this thesis we investigate, experimentally and theoretically, many classical and quantum coherence effects of the light. Initially we investigate the interference patterns formation by nonlocal double slit using classical light sources and comparing the results with those using a twin photos light source generated by Spontaneous Parametric Down Conversion (SPDC). We demonstrate that the classical correlation in wave vectors, in beam splitter outs, is a sufficient condition to the interference pattern to exist. In this work we also investigate experimentally the influence of polarized nonlocal double slit and local double slit. Here is present a alternative Fano based interpretation to explain the reason why the polarization of correlated beam has not influence on pattern fringes. We presented also an investigation about the light source parameters influence on the ghost interference interference. We demonstrate experimentally the relationship between, the coherence and source size, and fringes visibility. We extended the concept of complementarity related to coherence and correlation using the changes of the reference beam coherence and observing it’s influence on the interference patterns of the local double slit. In near-field limit, we investigate the existence of conditionality in the wave vector limited by the aperture of objects placed on the classically correlated beams paths. We demonstrate that is possible to find conditionality between the light emitted through the slits apertures. All these experiments performed using the Brown Twiss intensity interferometer (HBT) served to investigate the difference between the transversal effects with quantum and classical incoherent light. Finally, we demonstrate the first experimental measurement demonstrating the polarization changes on the partially coherent light propagation induced by the coherence source changes. This phenomenom was investigated for the free space propagation and for a nonlinear medium modeled by a Kerr medium.
Although we tend to think of optical interference as a classical wave phenomenon, recent experiments have revealed a number of effects that are not describable in classical terms. This is particularly true of interference effects involving the detection of a photon pair. We shall refer to them as fourth order interference, on the grounds that the joint probability density for the detection of one photon at r sub 1 at time t and another r sub 2 at time t is proportional to the fourth order correlation function of the field. This probability is readily measured when two photodetectors are positioned at r sub 1 and r sub 2 and the signals from the two detectors are fed to a coincidence counter that registers 'simultaneous' detections by the two detectors in coincidence. The topics covered include: fourth order interference measurements; the Franson experiment; and experimental test of the de Broglie guided wave theory.