Phase-space representation of diffraction in time: analytic results

Phase-space representation of diffraction in time: analytic results

Blog Article

Diffraction in time manifests itself as the appearance of probability-density fringes when a Wash Tee 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 Pucks double-slit scenario, we derive a simple and intuitive expression that accurately captures the position of interference fringes in phase space.