Phase-space representation of diffraction in time: Analytic results
Abstract
Diffraction in time manifests itself as the appearance of probability-density fringes when a matter wave passes through an opaque screen with abrupt temporal variations of transmission properties. Here we analytically describe the phase-space structure of diffraction-in-time fringes for a class of smooth time gratings. More precisely, we obtain an analytic expression for the Husimi distribution representing the state of the system in the case of time gratings comprising a succession of Lorentzian-like slits. In particular, for a double-slit scenario, we derive a simple and intuitive expression that accurately captures the position of interference fringes in phase space.
Cite
@article{arxiv.2110.03592,
title = {Phase-space representation of diffraction in time: Analytic results},
author = {Maximilien Barbier and Arseni Goussev},
journal= {arXiv preprint arXiv:2110.03592},
year = {2022}
}
Comments
More condensed as compared to v1: now 25 pages main text, 18 pages appendices; 5 figures