2021/10/31 by Maximilien Barbier, Arseni Goussev · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Computer science #Diffraction #Distribution (mathematics) #Expression (computer science) #Interference (communication) #Mathematical analysis #Mathematics #Opacity #Optics #Phase (matter) #Phase space #Physics #Position (finance) #Quantum mechanics #Quantum optics and atomic interactions #Random lasers and scattering media #Representation (politics) #Space (punctuation) #Space time #Terahertz technology and applications #physics.atom-ph #physics.optics #quant-ph
paper · pdf · open access · doi:10.1088/1367-2630/ac5563
published in New Journal of Physics 24(3), 033014 (IOP Publishing) · More condensed as compared to v1: now 25 pages main text, 18 pages appendices; 5 figures
openalex publication_date 2022/02/15 · arxiv created 2022/02/16 · arxiv updated 2022/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.