Detection statistics in a double-double-slit experiment

Kazemi, M. J.; Hosseinzadeh, Vahid

doi:10.1103/physreva.107.012223

Cited by 5 publications

(4 citation statements)

References 74 publications

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“…In recent years, Bohmian mechanics has gained renewed interest for various reasons [69][70][71][72] . One of these reasons is the fact that Bohmian trajectories can lead to clear predictions for quantum characteristic times, such as tunneling time duration 52,73,74 and arrival time distribution 24,43,67 .…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…Nevertheless, the Bohmian treatment seems suitable for analyzing the proposed setup since it can be unambiguously generalized for multi-particle systems in the presence of external potentials. Thus, in this paper, we investigate the proposed experiment using the recent developments in the Bohmian arrival time for entangled particle systems, including detector back-effect 24 , 51 . The results could contribute to a better understanding of the non-local nature of quantum mechanics in the time domain.…”

Section: Introductionmentioning

confidence: 99%

“…These effects include a wide range of phenomena such as diffraction in time [1][2][3][4] , interference in time [5][6][7][8] , Anderson localization in time 9,10 and several others [11][12][13][14][15] . To extend this line of research, we propose a simple experimental setup that can be used to observe a non-local interference in arrival time, which is analogous to the non-local interference in arrival position observed in entangled particle systems [16][17][18][19][20][21][22][23][24] .The proposed experimental setup involves a double-double-slit arrangement in which a source emits pairs of entangled atoms toward slits 19,25 . Such entangled atoms can be produced, for example, via a four-wave mixing process in colliding Bose-Einstein condensates 26,27 .…”

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confidence: 99%

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Non-local temporal interference

Ayatollah Rafsanjani,

Kazemi,

Hosseinzadeh

et al. 2024

Sci Rep

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Although position and time have different mathematical roles in quantum mechanics, with one being an operator and the other being a parameter, there is a space–time duality in quantum phenomena—a lot of quantum phenomena that were first observed in the spatial domain were later observed in the temporal domain as well. In this context, we propose a modified version of the double-double-slit experiment using entangled atom pairs to observe a non-local interference in the arrival time distribution, which is analogous to the non-local interference observed in the arrival position distribution. However, computing the arrival time distribution in quantum mechanics is a challenging open problem, and so to overcome this problem we employ a Bohmian treatment. Based on this approach, we numerically demonstrate that there is a complementary relationship between the one-particle and two-particle interference visibilities in the arrival time distribution, which is analogous to the complementary relationship observed in the position distribution. These results can be used to test the Bohmian arrival time distribution in a strict manner, i.e., where the semiclassical approximation breaks down. Moreover, our approach to investigating this experiment can be applied to a wide range of phenomena, and it seems that the predicted non-local temporal interference and associated complementary relationship are universal behaviors of entangled quantum systems that may manifest in various phenomena.

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Section: Theoretical Frameworkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Non-local temporal interference

Ayatollah Rafsanjani,

Kazemi,

Hosseinzadeh

et al. 2024

Sci Rep

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Formulation of causality-preserving quantum time of arrival theory

Sombillo,

Sombillo

2023

Physics Letters A

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Can the double-slit experiment distinguish between quantum interpretations?

Ayatollah Rafsanjani,

Kazemi,

Bahrampour

et al. 2023

Commun Phys

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Despite the astonishing successes of quantum mechanics, due to some fundamental problems such as the measurement problem and quantum arrival time problem, the predictions of the theory are in some cases not quite clear and unique. Especially, there are various predictions for the joint spatiotemporal distribution of particle detection events on a screen, which are derived from different formulations and interpretations of the quantum theory. Although the differences are typically small, we show that these predictions can be experimentally distinguished by a proposed unconventional double-slit configuration, which is realizable using present-day single-atom interferometry. This experiment would enrich our understanding of the foundations of quantum mechanics.

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Detection statistics in a double-double-slit experiment

Cited by 5 publications

References 74 publications

Non-local temporal interference

Non-local temporal interference

Formulation of causality-preserving quantum time of arrival theory

Can the double-slit experiment distinguish between quantum interpretations?

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