Time-symmetry and topology of the Aharonov-Bohm effect

Yakir Aharonov, Ismael L. Paiva, Zohar Schwartzman-Nowik, Avshalom C. Elitzur, Eliahu Cohen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The Aharonov-Bohm (AB) effect has been highly influential in fundamental and applied physics. Its topological nature commonly implies that an electron encircling a magnetic flux source in a field-free region must close the loop in order to generate an observable effect. In this paper, we study a variant of the AB effect that apparently challenges this concept. The significance of weak values and nonlocal equations of motion is discussed as part of the analysis, shedding light on and connecting all these fundamental concepts.

Original languageEnglish
Article number475302
JournalJournal of Physics A: Mathematical and Theoretical
Volume56
Issue number47
DOIs
StatePublished - 24 Nov 2023

Funding

FundersFunder number
Fetzer Franklin Fund
Fetzer-Franklin Fund of the John E Fetzer Memorial TrustFQXi-RFP-CPW-2006
Quantum Science and Technology Program of the Israeli Council of Higher Education
Silicon Valley Community Foundation
Foundational Questions Institute
Federico and Elvia Faggin Foundation
European Research Council
Ministry of Science and Technology, Israel
PAZY Foundation
Israel Innovation Authority70002, 73795

    Keywords

    • Aharonov-Bohm effect
    • modular operators
    • weak measurement
    • weak values

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