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    Searching for Bloch wave packets with almost definite momentum direction

    Arseni Goussev1,2 and Gregory V. Morozov3

    • 1Section of Mathematics, University of Geneva, Rue du Conseil-Général 7-9, 1205 Geneva, Switzerland
    • 2Quantum Physics Corner Ltd., 20–22 Wenlock Road, London N1 7GU, United Kingdom
    • 3Scottish Universities Physics Alliance, School of Computing, Engineering and Physical Sciences, University of the West of Scotland, Paisley PA1 2BE, United Kingdom

    Phys. Rev. A 112, 032223 – Published 26 September, 2025

    DOI: https://doi.org/10.1103/k9km-k3dm

    Abstract

    The motion of a quantum particle in a one-dimensional periodic potential can be described in terms of Bloch wave packets. Like free-particle wave packets, they can propagate without attenuation. Here, we examine this similarity more closely by investigating whether Bloch wave packets can maintain a definite—or nearly definite—momentum direction, a property inherent in free-particle wave packets. This question is particularly relevant to the feasibility of using solid-state-based systems in the search for the first experimental realization of quantum backflow, a quantum interference effect in which a particle's probability density flows in a direction opposite to its momentum.

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