Quantum Faraday effect in a double-dot Aharonov-Bohm loop

Kicheon Kang

Department of Physics, Chonnam National University - Gwang-Ju 500-757, Korea and Institut für Theoretische Physik - Philosophenweg 19, D-69120 Heidelberg, Germany, EU

kicheon.kang@gmail.com

Received: 15 February 2012
Accepted: 9 June 2012

Abstract

We investigate the role of Faraday's law of induction manifested in the quantum state of Aharonov-Bohm (AB) loops. In particular, a flux-switching experiment is proposed for a double-dot AB loop to verify the phase shift induced by Faraday's law. The induced Faraday phase is shown to be geometric and nontopological. This 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 contrast to the arbitrary local phase of an AB loop for a given flux.