Phase-space representation of diffraction in time: Analytic results

• URL: http://arxiv.org/abs/2110.03592v2
• Date: Wed, 16 Feb 2022 00:17:20 GMT
• Title: Phase-space representation of diffraction in time: Analytic results
• Authors: Maximilien Barbier and Arseni Goussev
• Abstract summary: We analytically describe the phase-space structure of diffraction-in-time fringes for a class of smooth time gratings. We derive a simple and intuitive expression that accurately captures the position of interference fringes in phase space.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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