Heidelberg 2015 – wissenschaftliches Programm

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A: Fachverband Atomphysik

A 33: Collisions, scattering and recombination

A 33.1: Vortrag

Donnerstag, 26. März 2015, 14:30–14:45, C/kHS

Singularimetry of light with electron vortex beams — •Armen Hayrapetyan and Jörg Götte — Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden

We study the interaction of electron vortex beams (EVBs) with the standing wave of laser light, where electrons impinge perpendicularly on two counter propagating light beams. For such a crossed-beam scenario, we derive analytical expression for the wave function of the transmitted EVB by employing the Hamiltonian Analogy between electron optics and quantum mechanics. By analyzing the phase of the EVB after passing through the field, we show the splitting of a single electron vortex into a constellation of unit vortices, similar to the analogous splitting of optical vortices from dielectric interfaces, predicted recently by Dennis and Götte. Thereupon, by interchanging the roles of light and matter and considering the light as a refractive medium for electrons, we demonstrate that the concept of singularimetry, that is the probing of a scatterer by means of the singularities in the probe beam, can be extended to EVBs transmitted through light.

References: M.R. Dennis and J.B. Götte, Phys. Rev. Lett. 109, 183903 (2012).