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Real-space imaging of electron flow in Aharonov- Bohm rings

Benoit Hackens, Frederico Martins, T. Ouisse, H. Sellier, Joël Chevrier, S. Huant, V. Bayot, S. Bollaert, Xavier Wallart, A. Cappy

Published Jan 1, 2006• 0 citations
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•Feb 12, 2026•0 citations
This manuscript proposes a solid-state electron-interferometry protocol to reconstruct quantum flow lines in an Aharonov–Bohm ring using weak values. A triggered single-electron wave packet propagates coherently through the two arms of the interferometer. A gate-defined Rashba segment implements a tunable weak coupling between the electron’s spin (as a pointer) and the local gauge-invariant kinetic momentum. Conditioning on the detected output port (postselection) allows extraction of the real part of the weak kinetic-momentum value, from which a local velocity field associated with thepostselected subensemble is reconstructed. Integrating this velocity field yields flux-dependent flow lines while preserving interference visibility in the weak-coupling regime. The work provides an operational, gauge-consistent route to map electron probability-current flow, with a clear ontological reading in de Broglie–Bohm dynamics.