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arXiv · 1508.00248

Weak Values from Displacement Currents in Multiterminal Electron Devices

Damiano Marian·Nino Zanghì·Xavier Oriols
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Abstract

Weak values allow the measurement of observables associated with noncommuting operators. Up to now, position-momentum weak values have been mainly developed for (relativistic) photons. In this Letter, a proposal for the measurement of such weak values in typical electronic devices is presented. Inspired by the Ramo-Shockley-Pellegrini theorem that provides a relation between current and electron velocity, it is shown that the displacement current measured in multiterminal configurations can provide either a weak measurement of the momentum or strong measurement of position. This proposal opens new opportunities for fundamental and applied physics with state-of-the-art electronic technology. As an example, a setup for the measurement of the Bohmian velocity of (nonrelativistic) electrons is presented and tested with numerical experiments.

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Damiano Marian, Nino Zanghì, Xavier Oriols. 2016-06-02. Weak Values from Displacement Currents in Multiterminal Electron Devices. https://doi.org/10.1103/physrevlett.116.110404

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