Although the Aharonov-Bohm and related effects are familiar in solid-state and high-energy physics, the nonlocality of these effects has been questioned. Here we show that the Aharonov-Bohm effect has two very different aspects. One aspect is instantaneous and nonlocal; the other aspect, which depends on entanglement, unfolds continuously over time. While local, gauge-invariant variables may occasionally suffice for explaining the continuous aspect, we argue that they cannot explain the instantaneous aspect. Thus the Aharonov-Bohm effect is, in general, nonlocal.
Y. Aharonov, E. Cohen, and D. Rohrlich, “Nonlocality of the Aharonov-Bohm effect,” Phys. Rev. A, vol. 93, no. 4, p. 42110, Apr. 2016. doi: 10.1103/PhysRevA.93.042110
American Physical Society