Trajectory-based interpretation of Young's experiment, the Arago–Fresnel laws and the Poisson–Arago spot for photons and massive particles

Davidović, M.; Sanz, Ángel S.; Božić, Mirjana; Arsenović, D.; Dimic, Dragan

doi:10.1088/0031-8949/2013/t153/014015

Cited by 11 publications

(19 citation statements)

References 32 publications

(45 reference statements)

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“…This behavior, though, can readily be generalized to grating diffraction, thus providing an extremely natural interpretation for the appearance of diffraction orders, Bragg's law or the relationship between the beam size and the definition of diffractive features [76]. Analogously, the same can be directly translated to the realm of optics, providing a more intuitive picture of interference and diffraction phenomena [66,67,70,81], which is excellent agreement with the experimental findings reported by Steinberg and coworkers regarding Young's two-slit experiment several years ago [61,83,84].…”

Section: Dynamical Role Of the Local Velocity Fieldsupporting

confidence: 82%

Bohm's quantum "non-mechanics": An alternative quantum theory with its own ontology?

Sanz¹

2021

Preprint

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L'aspect ontologique de la mécanique bohmienne, en tant que théorie des variables cachées qui nous fournit une description objective d'un monde quantique sans observateurs, est largement connu. Pourtant, son caractère pratique est de plus en plus accepté et reconnu, car il s'est avéré être une ressource efficace et utile pour aborder, explorer, décrire et expliquer de tels phénomènes. Cet aspect pratique émerge précisément lorsque l'application pragmatique du formalisme l'emporte sur toute autre question d'interprétation, encore sujet à débat et à controverse. À cet égard, notre objectif est de montrer et de discuter ici comment la mécanique bohmienne met en valeur de manière naturelle une série de caractéristiques dynamiques difficiles à découvrir à travers d'autres approches quantiques. Cela vient du fait que la mécanique bohmienne permet d'établir un lien direct entre la dynamique des systèmes quantiques et les variations locales de la phase quantique associées à leur état. Pour illustrer ces faits, deux modèles simples de phénomènes quantiques physiquement éclairants ont été choisis, à savoir la dispersion d'un paquet d'ondes gaussiennes libres et l'interférence à deux fentes de type Young. Comme il est montré ici, les résultats de leur analyse offrent une compréhension alternative de la dynamique affichée par ces phénomènes quantiques en termes du champ de vitesse local sous-jacent, qui relie la densité de probabilité au flux quantique. Ce champ, qui n' exprime rien d' autre que la condition de guidage en mécanique bohmienne standard, acquiert ainsi un rôle de premier plan pour comprendre la dynamique quantique, en tant que mécanisme responsable de cette dynamique. Cela va au-delà du rôle passif généralement attribué au champ de la vitesse locale en mécanique bohmienne, où traditionnellement l' on accorde plus d' attention aux trajectoires et au potentiel quantique.

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Section: Dynamical Role Of the Local Velocity Fieldsupporting

confidence: 82%

Bohm's quantum "non-mechanics": An alternative quantum theory with its own ontology?

Sanz¹

2021

Preprint

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“…To this end the transversal momentum should be measured at a point x of the observation plane with only one slit open at a time, keeping record of which slit is open. In order to reproduce the experiment in a numerical fashion, let us mimic the experiment carried out by Kocsis et al [2,26], assuming that…”

Section: Scenariomentioning

confidence: 99%

What dynamics can be expected for mixed states in two-slit experiments?

Luis

Sanz

2015

Annals of Physics

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Weak-measurement-based experiments [Kocsis et al., Science 332 (2011) 1170 have shown that, at least for pure states, the average evolution of independent photons in Young's two-slit experiment is in compliance with the trajectories prescribed by the Bohmian formulation of quantum mechanics. But, what happens if the same experiment is repeated assuming that the wave function associated with each particle is different, i.e., in the case of mixed (incoherent) states? This question is investigated here by means of two alternative numerical simulations of Young's experiment, purposely devised to be easily implemented and tested in the laboratory. Contrary to what could be expected a priori, it is found that even for conditions of maximal mixedness or incoherence (total lack of interference fringes), experimental data will render a puzzling and challenging outcome: the average particle trajectories will still display features analogous to those for pure states, i.e., independently of how mixedness arises, the associated dynamics is influenced by both slits at the same time. Physically this simply means that weak measurements are not able to discriminate how mixedness arises in the experiment, since they only provide information about the averaged system dynamics.

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“…In spite of the complexity involved in the experimental setup, the trajectories themselves are a result that can be easily explained in terms of classical electromagnetism. To understand this basic idea, consider two slits such that, when illuminated by monochromatic light, they produce two diffracted Gaussian beams [11]. The energy density of the electromagnetic field behind the slits distributes as shown in Fig.…”

Section: How Does Light Move? Featuresmentioning

confidence: 99%

“…2c together with some trajectories. This quantity is compared with the experimental data at different distances from the two slits and using different initial electromagnetic energy density distributions [11] (Gaussian and non-Gaussian).…”

Section: How Does Light Move? Featuresmentioning

confidence: 99%