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Gouy phase and visibility in the double-slit experiment
Authors:CJS Ferreira  LS Marinho  TB Brazil  LA Cabral  JGG de Oliveira Jr  MDR Sampaio  IG da Paz
Institution:1. Departamento de Física, Universidade Federal do Piauí, Campus Ministro Petrônio Portela, CEP 64049-550, Teresina, PI, Brazil;2. Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, SP, Brazil;3. Curso de Física, Universidade Federal do Tocantins, Caixa Postal 132, CEP 77804-970, Araguaína, TO, Brazil;4. Departamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz, Caixa Postal 45662-900, Ilhéus, BA, Brazil;5. Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, Caixa Postal 702, CEP 30161-970, Belo Horizonte, Minas Gerais, Brazil;6. Centre for Particle Theory CM310 Durham University - St. John’s College B6, United States
Abstract:We study a matter wave double-slit experiment with unequal aperture widths in order to evaluate the effect of the Gouy phase on the visibility/predictability. While the predictability changes as one increases the width of one of the slits, the visibility receives a contribution from the Gouy phase at a specific point in the detection screen. Consequently such apparatus constitutes a simple device for measuring the Gouy phase of matter waves. We illustrate it numerically for neutrons.
Keywords:Gouy phase  Fringe visibility  Double-slit experiment
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