Dispersion and uncertainty in multislit matter wave diffraction

Glionna, G.; Blin, A. H.; Hiller, Brigitte; Nemes, M. C.; Sampaio, Marcos; Piza, A. F. R. de Toledo

doi:10.1016/j.physa.2007.10.069

Cited by 10 publications

(11 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Ref. [14] the authors explore the effect of the position-momentum correlations on the interference pattern but they do not take into account the influence of the propagation time from the double-slit to the screen. They also do not discuss the behavior of the correlations as a function of the propagation time from the source to the double-slit (or equivalently, the behavior of the correlations as a function of the parameter σ 0 ).…”

Section: Intensity Visibility and Predictabilitymentioning

confidence: 99%

See 1 more Smart Citation

Position–momentum correlations in matter waves double-slit experiment

2015

View full text Add to dashboard Cite

We present a treatment of the double-slit interference of matter-waves represented by Gaussian wavepackets. The interference pattern is modelled with Green's function propagator which emphasizes the coordinate correlations and phases. We explore the connection between phases and position-momentum correlations in the intensity, visibility and predictability of the wavepackets interference. This formulation will indicate some aspects that can be useful for theoretical and experimental treatment of particles, atoms or molecules interferometry.

show abstract

Section: Intensity Visibility and Predictabilitymentioning

confidence: 99%

“…The qualitative changes in the interference pattern as a function of the increasing in the position-momentum correlations was studied in [15]. In addition, other studies have shown that the Gouy phase of matter waves is directly related to the position-momentum correlations, as studied for the first time in [16,17].…”

Section: Introductionmentioning

confidence: 99%

Position–momentum correlations in matter waves double-slit experiment

2015

View full text Add to dashboard Cite

show abstract

“…In this section we discuss double-slit interference of matter waves, for instance neutrons or fullerene molecules [35], to illustrate the ideas that we discussed so far. Consider the experimental set up illustrated in the Fig.…”

Section: Double Slit Interference: Complementarity Principle and The mentioning

confidence: 99%

“…An analytical expression for P B and P C can in principle be derived in terms of the parameters as illustrated in Fig. 3 as performed in [35] but it is not essential to the purposes of our discussion.…”

Section: I(y Tmentioning

confidence: 99%

Matter Wave Interferometry, the Gouy Phase and Complementarity Principle

Cabral¹,

Paz²,

Júnior³

et al. 2012

Solutions and Applications of Scattering, Propagation, Radiation and Emission of Electromagnetic Waves

View full text Add to dashboard Cite

“…The reader is referred to Refs. [11][12][13][14] for details and implementation examples of the truncation approximation.…”

Section: Introductionmentioning

confidence: 99%

Huygens-Fresnel-Kirchhoff construction for quantum propagators with application to diffraction in space and time

Goussev

2012

Phys. Rev. A

View full text Add to dashboard Cite

Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.) arXiv:1201.1389v1 [quant-ph] 6 Jan 2012Huygens-Fresnel-Kirchhoff construction for quantum propagators with application to diffraction in space and time Arseni GoussevMax Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, D-01187 Dresden, Germany (Dated: January 9, 2012)We address the phenomenon of diffraction of non-relativistic matter waves on openings in absorbing screens. To this end, we expand the full quantum propagator, connecting two points on the opposite sides of the screen, in terms of the free particle propagator and spatio-temporal properties of the opening. Our construction, based on the Huygens-Fresnel principle, describes the quantum phenomena of diffraction in space and diffraction in time, as well as the interplay between the two. We illustrate the method by calculating diffraction patterns for localized wave packets passing through various time-dependent openings in one and two spatial dimensions.

show abstract

Dispersion and uncertainty in multislit matter wave diffraction

Cited by 10 publications

References 10 publications

Position–momentum correlations in matter waves double-slit experiment

Position–momentum correlations in matter waves double-slit experiment

Matter Wave Interferometry, the Gouy Phase and Complementarity Principle

Huygens-Fresnel-Kirchhoff construction for quantum propagators with application to diffraction in space and time

Contact Info

Product

Resources

About