Equivalence between quantum backflow and classically forbidden probability flow in a diffraction-in-time problem

Arseni Goussev

doi:10.1103/physreva.99.043626

Equivalence between quantum backflow and classically forbidden probability flow in a diffraction-in-time problem

Arseni Goussev

Mathematics, Physics and Electrical Engineering

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

12 Downloads (Pure)

Abstract

Quantum backflow is an interference effect in which a matter-wave packet comprised of only plane waves with non-negative momenta exhibits negative probability flux. Here we show that this effect is mathematically equivalent to the appearance of classically-forbidden probability flux when a matter-wave packet, initially confined to a semi-infinite line, expands in free space.

Original language	English
Article number	043626
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	99
Issue number	4
DOIs	https://doi.org/10.1103/physreva.99.043626
Publication status	Published - 25 Apr 2019

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10.1103/physreva.99.043626

backflow01Apr2019Accepted author manuscript, 189 KB

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abstract = "Quantum backflow is an interference effect in which a matter-wave packet comprised of only plane waves with non-negative momenta exhibits negative probability flux. Here we show that this effect is mathematically equivalent to the appearance of classically-forbidden probability flux when a matter-wave packet, initially confined to a semi-infinite line, expands in free space.",

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Equivalence between quantum backflow and classically forbidden probability flow in a diffraction-in-time problem

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