Electrodynamic Aharonov-Bohm effect

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.

arXiv comment5 pages, 3 figures. v2: The title has changed. References were included. Minor changes in the text. Accepted for publication in Physical Review A

References in corpus (16)

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Cited by in corpus (5)

• Testing Bell-CHSH Inequalities Using topological Aharonov-Casher and He-McKellar-Wilkens Phases
• Gauge invariance of the Aharonov-Bohm effect in a quantum electrodynamics framework
• Time-dependent Aharonov-Bohm type topological effects on dipoles
• Topological schemes in spacetime for the electrodynamic Aharonov-Bohm effect
• Topology of the Aharonov-Bohm effect in different reference frames