Quantum Faraday Effect in Double-Dot Aharonov-Bohm Ring

TL;DR

This paper explores the quantum Faraday effect in a double-dot Aharonov-Bohm ring, demonstrating that the induced phase shift is geometric and governed by Faraday's law, contrasting with traditional arbitrary phase assumptions.

Contribution

It introduces a flux-switching experiment to verify the Faraday-induced phase shift and reveals its geometric, non-topological nature in quantum Aharonov-Bohm rings.

Findings

Faraday phase is geometric and non-topological

Local phases are determined by Faraday's inductive law

Contrasts with arbitrary phase in traditional Aharonov-Bohm rings

Abstract

We investigate Faraday's law of induction manifested in the quantum state of Aharonov-Bohm loops. In particular, we propose a flux-switching experiment for a double-dot AB ring to verify the phase shift induced by Faraday's law. We show that the induced {\em Faraday phase} is geometric and nontopological. Our study demonstrates that the relation between the local phases of a ring at different fluxes is not arbitrary but is instead determined by Faraday's inductive law, which is in strong contrast to the arbitrary local phase of an Aharonov-Bohm ring for a given flux.