Time-symmetry and topology of the Aharonov–Bohm effect

Yakir Aharonov; Ismael Lucas Paiva; Zohar Schwartzman-Nowik; Avshalom C. Elitzur; Eliahu Cohen

doi:10.1088/1751-8121/ad0589

Time-symmetry and topology of the Aharonov–Bohm effect

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

^*Corresponding author for this work

School of Physics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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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 language	English
Article number	475302
Number of pages	13
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	56
Issue number	47
DOIs	https://doi.org/10.1088/1751-8121/ad0589
Publication status	Published - 31 Oct 2023

Bibliographical note

Funding Information:
Y A thanks the Federico and Elvia Faggin Foundation for support. I L P acknowledges support from the ERC Advanced Grant FLQuant. E C was supported by the Israeli Innovation Authority under Project Nos. 70002 and 73795, by the Pazy Foundation, by the Israeli Ministry of Science and Technology, and by the Quantum Science and Technology Program of the Israeli Council of Higher Education. 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 IOP Publishing Ltd

Keywords

weak measurement
weak values
Aharonov–Bohm effect
modular operators

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title = "Time-symmetry and topology of the Aharonov–Bohm effect",

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.",

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author = "Yakir Aharonov and Paiva, {Ismael Lucas} and Zohar Schwartzman-Nowik and Elitzur, {Avshalom C.} and Eliahu Cohen",

note = "Funding Information: Y A thanks the Federico and Elvia Faggin Foundation for support. I L P acknowledges support from the ERC Advanced Grant FLQuant. E C was supported by the Israeli Innovation Authority under Project Nos. 70002 and 73795, by the Pazy Foundation, by the Israeli Ministry of Science and Technology, and by the Quantum Science and Technology Program of the Israeli Council of Higher Education. 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: {\textcopyright} 2023 IOP Publishing Ltd",

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AU - Paiva, Ismael Lucas

AU - Schwartzman-Nowik, Zohar

AU - Elitzur, Avshalom C.

AU - Cohen, Eliahu

N1 - Funding Information: Y A thanks the Federico and Elvia Faggin Foundation for support. I L P acknowledges support from the ERC Advanced Grant FLQuant. E C was supported by the Israeli Innovation Authority under Project Nos. 70002 and 73795, by the Pazy Foundation, by the Israeli Ministry of Science and Technology, and by the Quantum Science and Technology Program of the Israeli Council of Higher Education. 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 IOP Publishing Ltd

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N2 - 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.

AB - 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.

KW - weak measurement

KW - weak values

KW - Aharonov–Bohm effect

KW - modular operators

U2 - 10.1088/1751-8121/ad0589

DO - 10.1088/1751-8121/ad0589

M3 - Article (Academic Journal)

SN - 1751-8113

VL - 56

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 47

M1 - 475302

ER -

Time-symmetry and topology of the Aharonov–Bohm effect

Abstract

Bibliographical note

Keywords

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