Aharonov-Bohm effect with an effective complex-valued vector potential

Ismael L. Paiva; Yakir Aharonov; Jeff Tollaksen; Mordecai Waegell

doi:10.1088/1367-2630/acd4dd

Aharonov-Bohm effect with an effective complex-valued vector potential

Ismael L. Paiva, Yakir Aharonov, Jeff Tollaksen, Mordecai Waegell

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The interaction between a quantum charge and a dynamic source of a magnetic field is considered in the Aharonov-Bohm (AB) scenario. It is shown that, in weak interactions with a post-selection of the source, the effective vector potential is, generally, complex-valued. This leads to new experimental protocols to detect the AB phase before the source is fully encircled. While this does not necessarily change the nonlocal status of the AB effect, it brings new insights into it. Moreover, we discuss how these results might have consequences for the correspondence principle, making complex vector potentials relevant to the study of classical systems.

Original language	English
Article number	053017
Journal	New Journal of Physics
Volume	25
Issue number	5
DOIs	https://doi.org/10.1088/1367-2630/acd4dd
State	Published - 1 May 2023
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.

Funding

The authors would like to thank Eliahu Cohen and Lev Vaidman for their comments on a previous version of this manuscript. I L P acknowledges financial support from the Science without Borders Program (CNPq/Brazil, Fund No. 234347/2014-7) and the ERC Advanced Grant FLQuant. Y A thanks the Federico and Elvia Faggin Foundation for support. This research was supported by the Fetzer-Franklin Fund of the John E Fetzer Memorial Trust and by Grant No. FQXi-RFP-CPW-2006 from the Foundational Questions Institute and Fetzer Franklin Fund, a donor-advised fund of Silicon Valley Community Foundation.

Funders	Funder number
Eliahu Cohen and Lev Vaidman
Fetzer Franklin Fund
Fetzer-Franklin Fund of the John E Fetzer Memorial Trust	FQXi-RFP-CPW-2006
Silicon Valley Community Foundation
Foundational Questions Institute
Federico and Elvia Faggin Foundation
European Commission
Conselho Nacional de Desenvolvimento Científico e Tecnológico	234347/2014-7

Keywords

Aharonov-Bohm effect
pre- and post-selected systems
weak values

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10.1088/1367-2630/acd4dd

Cite this

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Aharonov-Bohm effect with an effective complex-valued vector potential

Abstract

Bibliographical note

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Keywords

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