Matter wave scattering on an amplitude-modulated optical lattice
Pierrick Cheiney (LCAR), Charlotte Fabre (LCAR), Fran\c{c}ois, Vermersch (LCAR), Giovanni Luca Gattobigio (LCAR), Renaud Mathevet (LCAR),, Thierry Lahaye (LCAR), David Guery-Odelin (LCAR)

TL;DR
This paper experimentally investigates how guided matter waves scatter on an amplitude-modulated optical lattice, revealing frequency-dependent dips in output density and proposing a tunable velocity filter based on bichromatic modulation.
Contribution
It introduces a semiclassical Floquet-Bloch model to explain matter wave scattering phenomena and demonstrates a novel, species-independent velocity filtering technique.
Findings
Observed frequency-dependent dips in matter wave density distribution.
Validated the semiclassical model with numerical simulations.
Demonstrated a tunable sub-recoil velocity filter using bichromatic modulation.
Abstract
We experimentally study the scattering of guided matter waves on an amplitude-modulated optical lattice. We observe different types of frequency-dependent dips in the asymptotic output density distribution. Their positions are compared quantitatively with numerical simulations. A semiclassical model that combines \emph{local} Floquet-Bloch bands analysis and Landau-Zener transitions provides a simple picture of the observed phenomena in terms of elementary \emph{Floquet photon} absorption-emission processes and envelope-induced reflections. Finally, we propose and demonstrate the use of this technique with a bichromatic modulation to design a tunable sub-recoil velocity filter. Such a filter can be transposed to all species since it does not rely on a specific internal level configuration of the atoms.
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