Experiments of the Aharonov–Bohm type typically involve particles that are charged and interact with a magnetic flux. Photons aren't the former and don't do the latter. Yet, an Aharonov–Bohm ring for photons has just been realized experimentally.
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References
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Stern, A. Photons taught new tricks. Nature Phys 13, 110–111 (2017). https://doi.org/10.1038/nphys3948
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DOI: https://doi.org/10.1038/nphys3948
