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

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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… Click to show full 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.

Keywords: classically forbidden; equivalence quantum; forbidden probability; quantum backflow; probability; backflow classically

Journal Title: Physical Review A
Year Published: 2019

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