Locality of the Aharonov-Bohm-Casher effect

Abstract

We address the question of the locality versus nonlocality in the Aharonov-Bohm and the Aharonov-Casher effects. For this purpose, we investigate all possible configurations of ideal shielding of the overlap between the electromagnetic fields generated by a charge and by a magnetic flux, and analyze their consequences on the Aharonov-Bohm-Casher interference. In a classical treatment of shielding, the Aharonov-Bohm-Casher effect vanishes regardless of the geometry of shielding, when the local overlap of electromagnetic fields is completely eliminated. On the other hand, the result depends on the configuration of shielding if the charge quantization in the superconducting shield is taken into account. It is shown that our results are fully understood in terms of the fluctuating local-field interaction. Our analysis strongly supports the alternative view on the Aharonov-Bohm-Casher interference that the effects originate from the local action of electromagnetic fields.

7 pages, 3 figures

Cited by in corpus (14)

• Nonlocality of the Aharonov-Bohm Effect
• Geometric phases and the Sagnac effect: Foundational aspects and sensing applications
• Coherence and realism in the Aharonov-Bohm effect
• Proposal for locality test of Aharonov-Bohm effect via Andreev interferometer without a loop
• Physical reality of electromagnetic potentials and the classical limit of the Aharonov-Bohm effect
• Aharonov-Casher and shielded Aharonov-Bohm effects with a quantum electromagnetic field
• Gauge independent description of Aharonov-Bohm Effect
• Nonlocality and local causality in the Schrödinger Equation with time-dependent boundary conditions
• Effective interaction force between an electric charge and a magnetic dipole and locality (or nonlocality) in quantum effects of the Aharonov-Bohm type
• Electric Aharonov-Bohm effect without a loop in a Cooper pair box
• Magnetic forces in the absence of a classical magnetic field
• Quadratic forms for Aharonov-Bohm Hamiltonians
• Surface spin polarization in the magnetic response of GeTe Rashba ferroelectric
• Geometric phase of a moving dipole under a magnetic field at a distance