Matter wave pulses characteristics

Abstract

We study the properties of quantum single-particle wave pulses created by sharp-edged or apodized shutters with single or periodic openings. In particular, we examine the visibility of diffraction fringes depending on evolution time and temperature; the purity of the state depending on the opening-time window; the accuracy of a simplified description which uses ``source'' boundary conditions instead of solving an initial value problem; and the effects of apodization on the energy width.

11 pages, 11 figures

References in corpus (6)

• Tunneling dynamics in relativistic and nonrelativistic wave equations
• Equivalence between the real time Feynman histories and the quantum shutter approaches for the "passage time" in tunneling
• Ultra-fast propagation of Schrödinger waves in absorbing media
• Transient response of a quantum wave to an instantaneous potential step switching
• Time scale of forerunners in quantum tunneling
• Transient Phenomena in Quantum Bound States Subjected to a Sudden Perturbation

Cited by in corpus (12)

• Dynamics of a Tonks-Girardeau gas released from a hard-wall trap
• Time modulation of atom sources
• Diffraction in Time: An Exactly Solvable Model
• Matter-wave diffraction in time with a linear potential
• Enhanced observability of quantum post-exponential decay using distant detectors
• Huygens-Fresnel-Kirchhoff construction for quantum propagators with application to diffraction in space and time
• Quantum matter wave dynamics with moving mirrors
• Three-dimensional Quantum Slit Diffraction and Diffraction in Time
• Exact propagators for atom-laser interactions
• Atom laser dynamics in a tight-waveguide
• Dynamics of a quantum wave emitted by a decaying and evanescent point source
• On the spatial coordinate measurement of two identical particles