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

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 evol...

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Bibliographic Details
Published inarXiv.org
Main Authors Marinho, Lucas S, Dieguez, Pedro R, Vieira, Carlos H S, da Paz, Irismar G
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.12.2023
Subjects
Electromagnetic radiation
Evolution
Interference
Matter waves
Quantum optics
Wave functions
Wave packets
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Summary: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 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 phases are 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.
ISSN:2331-8422