Phase-space representation of diffraction in time: analytic results

Maximilien Barbier*, Arseni Goussev

*Corresponding author for this work

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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 pages37
JournalNew Journal of Physics
Publication statusPublished - 11 Mar 2022
Externally publishedYes


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