Coherence and realism in the Aharonov-Bohm effect

Ismael L. Paiva, Pedro R. Dieguez, Renato M. Angelo, Eliahu Cohen

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3 Scopus citations


The Aharonov-Bohm effect is a fundamental topological phenomenon with a wide range of applications. It consists of a charge encircling a region with a magnetic flux in a superposition of wave packets having their relative phase affected by the flux. In this work we analyze this effect using an entropic measure known as realism, originally introduced as a quantifier of a system's degree of reality and mathematically related to notions of global and local quantum coherence. More precisely, we look for observables that lead to gauge-invariant realism associated with the charge before it completes its loop. We find that the realism of these operators has a sudden change when the line connecting the center of both wave packets crosses the solenoid. Moreover, we consider the case of a quantized magnetic-field source, pointing out similarities and differences between the two cases. Finally, we discuss some consequences of these results.

Original languageEnglish
Article number032213
JournalPhysical Review A
Issue number3
StatePublished - Mar 2023

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© 2023 American Physical Society.


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