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.
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 |
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Article number | 053017 |
Pages (from-to) | 1-11 |
Number of pages | 11 |
Journal | New Journal of Physics |
Volume | 25 |
Issue number | 5 |
DOIs | |
Publication status | Published - 22 May 2023 |
Bibliographical note
Funding Information: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.
Publisher Copyright:
© 2023 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.
Keywords
- Aharonov-Bohm effect
- pre- and post-selected systems
- weak values