Experiment-friendly formulation of quantum backflow
Marek Miller, Woo Chee Yuan, Rainer Dumke, Tomasz Paterek
TL;DR
This paper proposes a new way to quantify quantum backflow for any momentum distribution, facilitating experimental verification using atomic gravimeters, and demonstrates potential scenarios in gravitational and harmonic potentials.
Contribution
It introduces a generalized formulation of quantum backflow and discusses experimental procedures for its observation with atomic gravimeters.
Findings
Quantum backflow can be quantified for arbitrary momentum distributions.
Examples of backflow are shown in gravitational and harmonic potentials.
Experimental procedures for observing backflow are discussed.
Abstract
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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