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^*

^*Corresponding author for this work

School of Mathematics & Physics

Northumbria University

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

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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.

Original language	English
Article number	043626
Journal	Physical Review A
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

1903.02053
Arseni Goussev. 'Equivalence between quantum backflow and classically forbidden probability flow in a diffraction-in-time problem.' Phys. Rev. A 99, 043626. © 2019 American Physical Society. All rights reserved.
Accepted author manuscript (Post-print), 115 KB

Cite this

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

Abstract

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