Accelerating wave packet solution to Schrödinger’s equation

Vandegrift, Guy

doi:10.1119/1.19492

Cited by 16 publications

(13 citation statements)

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“…where p 1 , p 2 are the mean values of momentum for each branch of the superposition and B 1 , B 2 are the corresponding probability amplitudes. In the presence of the linear potential V (x), the wave function accelerates as a result of the gravitational force, and at time t it takes the form [26]:…”

Section: Gravitational Potentialmentioning

confidence: 99%

Experiment-friendly formulation of quantum backflow

Miller

Woo

Dumke

et al. 2021

Quantum

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Quantum backflow is usually understood as a quantum interference phenomenon where probability current of a quantum particle points in the opposite direction to particle's momentum. Here, we quantify the amount of quantum backflow for arbitrary momentum distributions, paving the way towards its experimental verification. We give examples of backflow in gravitational and harmonic potential, and discuss experimental procedures required for the demonstration using atomic gravimeters. Such an experiment would show that the probability of finding a free falling particle above initial level could grow for suitably prepared quantum state with most momentum downwards.

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Section: Gravitational Potentialmentioning

confidence: 99%

Experiment-friendly formulation of quantum backflow

Miller

Woo

Dumke

et al. 2021

Quantum

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“…Then, following the procedure explained in [41], we construct the associated solution for the case of a constant force in the z-direction,…”

Section: Entanglement In the Stern-gerlach Experimentsmentioning

confidence: 99%

Quantum entanglement, spin-1/2 and the Stern–Gerlach experiment

et al. 2005

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“…where p 1 , p 2 are the mean values of momentum for each branch of the superposition. In the presence of the linear potential, the wave function accelerates due to the interaction with gravity and at time t reads [19]:…”

Section: Gravitational Potentialmentioning

confidence: 99%

Experiment-friendly formulation of quantum backflow

Miller,

Yuan,

Dumke

et al. 2020

Preprint

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Quantum backflow is usually understood as a quantum interference phenomenon where probability current points in the opposite direction to particle's momentum. Here, we quantify the amount of quantum backflow for arbitrary momentum distributions, paving the way towards its experimental verification. We give examples of backflow in gravitational and harmonic potential. The former is especially appealing as the probability of finding a free falling particle above initial level grows for suitably prepared quantum state with most momentum downwards.

show abstract

Accelerating wave packet solution to Schrödinger’s equation

Cited by 16 publications

References 1 publication

Experiment-friendly formulation of quantum backflow

Experiment-friendly formulation of quantum backflow

Quantum entanglement, spin-1/2 and the Stern–Gerlach experiment

Experiment-friendly formulation of quantum backflow

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