Electrodynamic Aharonov-Bohm effect

• URL: http://arxiv.org/abs/2302.14542v2
• Date: Thu, 7 Dec 2023 17:08:43 GMT
• Title: Electrodynamic Aharonov-Bohm effect
• Authors: Pablo L. Saldanha
• Abstract summary: We propose an electrodynamic Aharonov-Bohm scheme where a nonzero AB phase difference appears even if the interferometer paths do not enclose a magnetic flux. In the proposal, the current in a solenoid outside the interferometer varies in time while the quantum particle is in a superposition state inside two Faraday cages.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose an electrodynamic Aharonov-Bohm (AB) scheme where a nonzero AB phase difference appears even if the interferometer paths do not enclose a magnetic flux and are subjected to negligible scalar potential differences during the propagation of the quantum charged particle. In the proposal, the current in a solenoid outside the interferometer varies in time while the quantum particle is in a superposition state inside two Faraday cages, such that it is always subjected to negligible electromagnetic fields. At first glance, this result could challenge the topological nature of the AB effect. However, by considering the topology of the electromagnetic field configuration and the possible particle trajectories in spacetime, we demonstrate the topological nature of this situation.

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