Time-symmetry and topology of the Aharonov-Bohm effect

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

Tel Aviv University, Bar-Ilan University

Research output: Contribution to journal › Article › peer-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 language	English
Article number	475302
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	56
Issue number	47
DOIs	https://doi.org/10.1088/1751-8121/ad0589
State	Published - 24 Nov 2023

Keywords

Aharonov-Bohm effect
modular operators
weak measurement
weak values

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
General Physics and Astronomy

Access to Document

10.1088/1751-8121/ad0589

Cite this

@article{fca8ccc910c34c898210e203926e0528,

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.",

keywords = "Aharonov-Bohm effect, modular operators, weak measurement, weak values",

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

note = "Publisher Copyright: {\textcopyright} 2023 IOP Publishing Ltd",

year = "2023",

month = nov,

day = "24",

doi = "10.1088/1751-8121/ad0589",

language = "الإنجليزيّة",

volume = "56",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "47",

}

TY - JOUR

T1 - Time-symmetry and topology of the Aharonov-Bohm effect

AU - Aharonov, Yakir

AU - Paiva, Ismael L.

AU - Schwartzman-Nowik, Zohar

AU - Elitzur, Avshalom C.

AU - Cohen, Eliahu

PY - 2023/11/24

Y1 - 2023/11/24

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 - Aharonov-Bohm effect

KW - modular operators

KW - weak measurement

KW - weak values

UR - http://www.scopus.com/inward/record.url?scp=85177168499&partnerID=8YFLogxK

U2 - 10.1088/1751-8121/ad0589

DO - 10.1088/1751-8121/ad0589

M3 - مقالة

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

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this