Position-momentum correlations in matter waves double-slit experiment

TL;DR

This paper models matter-wave double-slit interference using Gaussian wavepackets and Green's function propagator, highlighting the role of phase and position-momentum correlations in interference patterns for particles, atoms, or molecules.

Contribution

It introduces a Green's function approach to analyze phase and position-momentum correlations in matter-wave interference, offering insights for experimental and theoretical studies.

Findings

Correlation between phases and interference visibility

Position-momentum correlations influence interference patterns

Framework applicable to particles, atoms, and molecules

Abstract

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.