Gouy phase and visibility in the double-slit experiment

Ferreira, C. J. S.; Marinho, L. S.; Brazil, T.B.; Cabral, Luís A.; Oliveira, João Fernando Gomes de; Sampaio, Marcos; Paz, I. G. da

doi:10.1016/j.aop.2015.08.012

Cited by 10 publications

(5 citation statements)

References 50 publications

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“…The indices R and I stand for the real and imaginary part of the complex numbers that appear in the solutions. As discussed in [23], µ et (t, τ ) and θ et (t, τ ) are phases that do not depend of the transverse position x, i.e., they are axial phases. Different from the Gouy phase µ et (t, τ ) (App.…”

Section: Resultsmentioning

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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Section: Resultsmentioning

confidence: 99%

Exotic looped trajectories via quantum marking

Oliveira¹,

Souza²,

Cabral³

et al. 2017

Annals of Physics

Self Cite

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“…The state at the detector is represented by a density matrix. We consider the paraxial propagation, i.e., p x p z and the classical movement in the z-direction such that z = v z t. Thus, the quantum effects are observed only in the x-direction [20,21]. This is illustrated in fig.…”

Section: Double-slit Experiments With Loss Of Coherence -mentioning

confidence: 99%

Quantum-to-classical transition measure of large molecule diffraction

Marinho¹,

Costa²,

Sampaio³

et al. 2018

EPL

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We study the quantum-to-classical transition induced by the loss of coherence in the double-slit experiment with large molecules. We introduce the effects of loss of coherence by considering a propagator that includes such effects. We calculate the fringe visibility and the volume of the negative part of the Wigner function and observe that these quantities decrease when the effects of loss of coherence increase.

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“…For instance, line-focusing a cylindrical wave propagating from to yields a Gouy phase of , while point-focusing a spherical wave in the same interval yields a Gouy phase of 11 . Gaussian matter wave packets diffracting through small apertures generate a Gouy phase of 12 . Experiments were performed with acoustic and water waves 13 – 15 , surface plasmon-polaritons with non-Gaussian spatial properties 16 , focused cylindrical phonon-polariton wave packets in LiTaO 3 crystals, and for Bose-Einstein condensates and electron waves 17 – 20 .…”

Section: Introductionmentioning

confidence: 99%

Gouy phase and quantum interference with cross-Wigner functions for matter-waves

Marinho,

Dieguez,

Vieira

et al. 2024

Sci Rep

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The Gouy phase is essential for accurately describing various wave phenomena, ranging from classical electromagnetic waves to matter waves and quantum optics. In this work, we employ phase-space methods based on the cross-Wigner transformation to analyze spatial and temporal interference in the evolution of matter waves characterized initially by a correlated Gaussian wave packet. First, we consider the cross-Wigner of the initial wave function with its free evolution, and second for the evolution through a double-slit arrangement. Different from the wave function which acquires a global Gouy phase, we find that the cross-Wigner acquires a Gouy phase difference due to different evolution times. The results suggest that temporal like-Gouy phase difference is important for an accurate description of temporal interference. Furthermore, we propose a technique based on the Wigner function to reconstruct the cross-Wigner from the spatial intensity interference term in a double-slit experiment with matter waves.

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Gouy phase and visibility in the double-slit experiment

Cited by 10 publications

References 50 publications

Exotic looped trajectories via quantum marking

Exotic looped trajectories via quantum marking

Quantum-to-classical transition measure of large molecule diffraction

Gouy phase and quantum interference with cross-Wigner functions for matter-waves

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