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arXiv · 2110.03592

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.

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Maximilien Barbier, Arseni Goussev. 2021-10-07. Phase-space representation of diffraction in time: Analytic results. https://doi.org/10.1088/1367-2630/ac5563

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