Measuring the deviation from the superposition principle in interference experiments

Rengaraj, G.; Prathwiraj, U.; Sahoo, Surya Narayan; Somashekhar, R; Sinha, Urbasi

doi:10.1088/1367-2630/aac92c

Cited by 40 publications

(40 citation statements)

References 23 publications

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“…It is, e.g., then not obvious that closing one slit in a three-slit Young interferometer is physically equivalent to a two-slit situation to be used in the experimental determination of κ S . By imposing proper boundary conditions for the various Young interferometer configurations, it has actually been argued that a non-zero value of κ S quite naturally emerges [4,7,8,12]. In very elementary terms, and focusing on a purely quantum field theoretical treatment, we will confirm that this is the case.…”

Section: Introductionmentioning

confidence: 59%

“…n r r r r r r r r r 3 is in general non-zero as a function of the position d of the photon detector. Due to the two-slit conditions equation (8) and three-slit conditions equation (12) it is, however, clear that the parameters n 1 and n 2 have to be adjusted in order to have the same average number of photons passing through the various slit combinations under consideration. Without loss of generality, we should therefore use n 1 =1/3 and n 2 =2/3.…”

Section: The Photon Detectormentioning

confidence: 99%

“…With one of the slits (γ) closed, ab P should then be identified with the corresponding detection probability, and P α should correspond to two slits (β and γ) closed and similarly for other combinations of the probability amplitudes α, β, and γ. Various theoretical and experimental oriented considerations of these ideas of Sorkin have recently been under investigation [2][3][4][5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On the three-slit experiment and quantum mechanics

Skagerstam

2018

J. Phys. Commun.

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It has been suggested by Sorkin that a three-slit Young experiment could reveal the validity a fundamental ingredient in the foundations of one of the cornerstones in modern physics namely quantum mechanics. In terms of a certain parameter κ S , it was argued that a non-zero value could imply a breakdown of the fundamental Born's rule as well as the superposition principle. Here we argue that a physical realization of such arguments could lead to an erroneous conclusion and contradict the basic rules of quantum mechanics. In fact, we argue that a straightforward interpretation of the procedures involved in a physical determination of κ S does not necessarily lead to κ S =0. In order to show this we consider a mono-chromatic source of photons prepared in an arbitrary quantum state and a simple version of the well-established photon detection theory of Glauber which, by construction, obeys all the rules of quantum mechanics. It is, however, also argued that after a proper identification of the relevant quantum-mechanical probability amplitudes one can be reach κ S =0. As long as one only consider a single photon detector, it is verified that, in this context, there is no fundamental difference between quantum-mechanical interference and interference as expressed in terms of classical electro-magnetic waves.

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Section: Introductionmentioning

confidence: 59%

Section: The Photon Detectormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On the three-slit experiment and quantum mechanics

Skagerstam

2018

J. Phys. Commun.

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“…The effects of gravity are more pronounced for massive particles, compared with photons, and therefore any gravitational modification to quantum dynamics may be significantly larger-although how to make a quantised grating for massive particles remains a challenge. An experiment using microwave photons [23], in a classical regime, has recently application of the superposition principle breaks down in a way consistent with classical electrodynamics when boundary conditions are included.…”

Section: Introductionmentioning

confidence: 99%

Multi-path interferometry using single photons

Cotter

Cameron

2019

J. Phys. Commun.

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In most experiments which search for violations of Born's rule using light the diffractive elements are formed from material slits, or waveguides, which are treated classically. In this article we propose an alternative approach where the internal energy levels of particles are used instead of slits to test the superposition principle, thus removing the effect of the finite width of the slits. By quantising both the light field and the diffraction elements we propose a new way to probe Born's rule for light in a fully quantum mechanical way.

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“…In 2016 the first experimental observation of exotic paths in triple-slit interference with light was presented in [10,11]. In the experiment, exotic trajectory contributions to interference fringes were enhanced by controlling the strength and spatial distribution of electromagnetic near fields at the vicinity of the slits by the manipulation of surface plasmons.…”

Section: Introductionmentioning

confidence: 99%

Exotic looped trajectories via quantum marking

Oliveira¹,

Souza²,

Cabral³

et al. 2017

Annals of Physics

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We provide an analytical and theoretical study of exotic looped trajectories (ELTs) in a doubleslit interferometer with quantum marking. We use an excited Rydberg-like atom and which-way detectors such as superconducting cavities, just as in the Scully-Englert-Walther interferometer. We indicate appropriate conditions on the atomic beam or superconducting cavities so that we determine an interference pattern and fringe visibility exclusive from the ELTs. We quantitatively describe our results for Rubidium atoms and propose this framework as an alternative scheme to the double-slit experiment modified to interfere only these exotic trajectories.

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Measuring the deviation from the superposition principle in interference experiments

Cited by 40 publications

References 23 publications

On the three-slit experiment and quantum mechanics

On the three-slit experiment and quantum mechanics

Multi-path interferometry using single photons

Exotic looped trajectories via quantum marking

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