TY - JOUR
T1 - Aharonov-Bohm effect with an effective complex-valued vector potential
AU - Paiva, Ismael L.
AU - Aharonov, Yakir
AU - Tollaksen, Jeff
AU - Waegell, Mordecai
N1 - Publisher Copyright:
© 2023 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.
PY - 2023/5/1
Y1 - 2023/5/1
N2 - The interaction between a quantum charge and a dynamic source of a magnetic field is considered in the Aharonov-Bohm (AB) scenario. It is shown that, in weak interactions with a post-selection of the source, the effective vector potential is, generally, complex-valued. This leads to new experimental protocols to detect the AB phase before the source is fully encircled. While this does not necessarily change the nonlocal status of the AB effect, it brings new insights into it. Moreover, we discuss how these results might have consequences for the correspondence principle, making complex vector potentials relevant to the study of classical systems.
AB - The interaction between a quantum charge and a dynamic source of a magnetic field is considered in the Aharonov-Bohm (AB) scenario. It is shown that, in weak interactions with a post-selection of the source, the effective vector potential is, generally, complex-valued. This leads to new experimental protocols to detect the AB phase before the source is fully encircled. While this does not necessarily change the nonlocal status of the AB effect, it brings new insights into it. Moreover, we discuss how these results might have consequences for the correspondence principle, making complex vector potentials relevant to the study of classical systems.
KW - Aharonov-Bohm effect
KW - pre- and post-selected systems
KW - weak values
UR - http://www.scopus.com/inward/record.url?scp=85160315206&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/acd4dd
DO - 10.1088/1367-2630/acd4dd
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AN - SCOPUS:85160315206
SN - 1367-2630
VL - 25
JO - New Journal of Physics
JF - New Journal of Physics
IS - 5
M1 - 053017
ER -