Phase-space representation of diffraction in time: Analytic results
arXiv:2110.03592 · doi:10.1088/1367-2630/ac5563
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.
arXiv commentMore condensed as compared to v1: now 25 pages main text, 18 pages appendices; 5 figures
References in corpus (13)
- Attosecond double-slit experiment
- Quantum transients
- Coherent Backscattering of Ultracold Atoms
- Realization of a distributed Bragg reflector for propagating guided matter waves
- Diffraction of a Bose-Einstein Condensate in the Time Domain
- Time modulation of atom sources
- Matter wave scattering on an amplitude-modulated optical lattice
- Explanation and observability of diffraction in time
- Diffraction in Time: An Exactly Solvable Model
- Huygens-Fresnel-Kirchhoff construction for quantum propagators with application to diffraction in space and time
- Manipulating quantum wave packets via time-dependent absorption
- Comparison between two models of absorption of matter waves by a thin time-dependent barrier
- Dynamics of a quantum wave emitted by a decaying and evanescent point source