Coherence and realism in the Aharonov-Bohm effect

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

Research output: Working paper / PreprintPreprint

17 Downloads (Pure)


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 wavepackets 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 wavepackets 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 the implications of these results to the understanding of the effect.
Original languageUndefined/Unknown
StatePublished - 1 Sep 2022

Bibliographical note

12 pages, 4 figures


  • quant-ph

Cite this