Poisson's spot and Gouy phase

Paz, I. G. da; Soldati, Rodolfo; Cabral, Luís A.; Oliveira, João Fernando Gomes de; Sampaio, Marcos

doi:10.1103/physreva.94.063609

Cited by 4 publications

(4 citation statements)

References 45 publications

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“…The same procedure was adopted in ref. [22] to obtain an analytical expression for the intensity in the Poisson spot problem with partially coherent matter waves.…”

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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“…The same procedure was adopted in ref. [22] to obtain an analytical expression for the intensity in the Poisson spot problem with partially coherent matter waves.…”

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

Self Cite

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“…Now, we derive an approximate expression for the internal MAM of an eikonal wave packet, given by Eq. (18). It proves convenient to start from the following representation of the eikonal wave packet [cf.…”

Section: B Eikonal Wave Packetmentioning

confidence: 99%

“…Despite a large body of literature on quantum wave packet dynamics, much of it reviewed in Refs. [1][2][3][4][5][6], the subject is by no means exhausted; many stimulating studies have appeared in recent years [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Rotating Gaussian wave packets in weak external potentials

Goussev

2017

Phys. Rev. A

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We address the time evolution of two- and three-dimensional nonrelativistic Gaussian wave packets in the presence of a weak external potential of arbitrary functional form. The focus of our study is the phenomenon of rotation of a Gaussian wave packet around its center of mass, as quantified by mean angular momentum computed relative to the wave packet center. Using a semiclassical approximation of the eikonal type, we derive an explicit formula for a time-dependent change of mean angular momentum of a wave packet induced by its interaction with a weak external potential. As an example, we apply our analytical approach to the scenario of a two-dimensional quantum particle crossing a tilted ridge potential barrier. In particular, we demonstrate that the initial orientation of the particle wave packet determines the sense of its rotation, and report a good agreement between analytical and numerical results.Comment: Updated version. Phys. Rev. A (in press

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“…This includes the scattering of diffraction beams of He atoms at a grazing exit angle from surface defects 10 and Poisson's spot in matter-wave optics. [11][12][13][14] In addition, Babinet's principle was used together with Fraunhofer-Kirchhoff diffraction theory to explain collisions between rare-gas atoms and molecules. [15][16][17] Here, the collision is described in terms of diffraction of an incident matter-wave by a target molecule assumed to be a sharp-edged object.…”

Section: Introductionmentioning

confidence: 99%