Phase-space representation of diffraction in time: analytic results

Maximilien Barbier, Arseni Goussev

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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.
Original languageEnglish
Article number033014
Number of pages36
JournalNew Journal of Physics
Volume24
Issue number3
DOIs
Publication statusPublished - 11 Mar 2022

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