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One- and two-slit experiments with photons and electrons: A proper resolution

Andrew Das Arulsamy

Published May 16, 2023• 0 citations
Publisher

Abstract

We construct proper microscopic propositions to consistently explain the interference patterns obtained for electrons and photons in well-defined one- and two-slit experiments. Our propositions are also made explicit on the basis of quantum mechanics with proper quantitative analysis to support the correctness of the physical mechanisms proposed herein, which obey the wave-particle duality. In particular, our propositions and theoretical analysis demonstrate that for single-photon detection (after time integration), we cannot produce interference pattern if the usual diffraction slits are replaced with slit holes such that the non-transparent slit material does not permit photons to transmit, reflect internally or refract. However, the said non-transparent slit material with slit holes can produce the usual interference pattern with electromagnetic waves.

DOI
10.32388/brpth4

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We construct proper microscopic propositions to consistently explain the interference patterns obtained for electrons and photons in well-defined one- and two-slit experiments. Our propositions are also made explicit on the basis of quantum mechanics with proper quantitative analysis to support the correctness of the physical mechanisms proposed herein, which obey the wave-particle duality. In particular, our propositions and theoretical analysis demonstrate that for single-photon detection (after time integration), we cannot produce interference pattern if the usual diffraction slits are replaced with slit holes such that the non-transparent slit material does not permit photons to transmit, reflect internally or refract. However, the said non-transparent slit material with slit holes can produce the usual interference pattern with electromagnetic waves.
We construct proper microscopic propositions to consistently capture and explain the interference patterns obtained for electrons and photons, detected individually or otherwise, in one- and two-slit experiments. We propose that for single-photon detections (after time integration), no interference pattern is obtained if one uses non-transparent slit material with slit holes (not diffraction slits). The non-transparent slit material does not permit photons to transmit, reflect internally nor refract. However, the same slit holes can produce the usual interference pattern with electromagnetic waves due to interfering in-phase and out-of-phase light waves. As for the electrons, detected individually or not, partial interference patterns can always be obtained from the two-slit experiment when one of the slits is closed (one at a time), which then can be manually overlapped to produce the complete interference pattern of a double-slit experiment. These new theoretically constructed experimental results for photons and electrons can be readily verified with our current technology using suitable optically non-transparent (for photons) and highly insulating (for electrons) slit materials.
Abstract We construct proper microscopic propositions to consistently explain the interference patterns obtained for electrons and photons in well-defined one- and two-slit experiments. Our propositions are also made explicit on the basis of quantum mechanics with proper quantitative analysis to support the correctness of the physical mechanisms proposed herein, which obey the wave-particle duality. Apart from that, the microscopic propositions constructed herein can be treated as guidelines in setting up the future experiments such that one can unambiguously support or oppose this strange notion—a quantum particle behaves differently depending upon the number of slit, and where we place the detector such that the particle can sense the detector and the number of slit, before physically interacting with them.
The double-slit experiment strikingly demonstrates the wave-particle duality of quantum objects. In this famous experiment, particles pass one-by-one through a pair of slits and are detected on a distant screen. A distinct wave-like pattern emerges after many discrete particle impacts as if each particle is passing through both slits and interfering with itself. Here we present a temporally- and spatially-resolved measurement of the double-slit interference pattern using single photons. We send single photons through a birefringent double-slit apparatus and use a linear array of single-photon detectors to observe the developing interference pattern. The analysis of the buildup allows us to compare quantum mechanics and the corpuscular model, which aims to explain the mystery of single-particle interference. Finally, we send one photon from an entangled pair through our double-slit setup and show the dependence of the resulting interference pattern on the twin photon's measured state. Our results provide new insight into the dynamics of the buildup process in the double-slit experiment, and can be used as a valuable resource in quantum information applications.
The two-slit interference experiment is usually adopted to discuss the superposition principle applied to radiation and to show the peculiar wave behaviour of material particles. Diffraction and interference of electrons have been demonstrated using, as interferometry devices, a hole, a slit, double hole, two-slits, an electrostatic biprism etc. A number of books, short movies and lectures on the web try to popularize the mysterious behaviour of electrons on the basis of Feynman thought experiment which consists of a Young two-hole interferometer equipped with a detector to reveal single electrons. A short review is reported regarding, i) the pioneering attempts carried out to demonstrate that interference patterns could be obtained with single electrons through an interferometer and, ii) recent experiments, which can be considered as the realization of the thought electron interference experiments adopted by Einstein-Bohr and subsequently by Feynman to discuss key features of quantum physics.
Summary form only given. The essence of wave-particle duality is that particles passing through slits form a pattern that can only be explained by resorting to wave mechanics. Here we present results that provide insight into the buildup of the multiple-slit interference pattern. The perfect time resolved measurements would ideally involve a single-particle source and an array of single-particle noiseless detectors featuring perfect quantum efficiency and time resolution. In previous experiments for electrons [1], photons [2] and molecules [3], detection of single particles was limited by minimum acquisition times, thus denying access to precise timing information. We make a significant step forward, approaching the perfect measurement very closely and showing real-time interference pattern buildup of single-photon detections as a result of passing through a system of multiple slits. These measurements accessed precise timing information, allowing us to analyse the interference pattern's formation process and effects of entanglement.
We experimentally show novel phenomena: (1) in the same double slit or cross double slit experiment, within macroscopic distances from diaphragm, the patterns are non-interference and gradually evolve to the interference patterns near/on the screen; (2) in the same single slit or cross single slit experiment, within macroscopic distances from diaphragm, the patterns are non-diffraction and gradually evolve to the diffraction patterns near/on the screen; (3) in the same non-parallel-two-slits experiment, within macroscopic distances from diaphragm, the patterns are non-diffraction and gradually evolve to the diffraction-interference-hybrid patterns; (4) the diffraction-interference-hybrid patterns depend on the angle between two slits. Those novel phenomena: (1) challenge the conventional light wave interpretations of the physical optics, the electromagnetic wave and the quantum probability waves, namely, those interpretations are incomplete; (2) challenging Bohr’s complementarity principle and the wave-particle duality; (3) suggest that it is the photon-photon interaction, instead of the wave-wave interference, that produces the phenomena. To interpret consistently above phenomena is the challenge and demands new theory.