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Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

Quantum interference and diffraction in the phase space

C. M. A. Dantasox, B. Baseia

Published Oct 1, 1996• 1 citation
Publisher
DOI
10.1007/bf02743337

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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.