He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects

TL;DR

This paper explores how Lorentz symmetry breaking in the Standard Model Extension can induce an analogue of the He-McKellar-Wilkens effect, leading to novel quantum holonomies and energy level dependencies related to geometric phases.

Contribution

It demonstrates a new scenario where Lorentz symmetry violation causes an analogue of the He-McKellar-Wilkens effect and analyzes associated quantum holonomies and energy shifts.

Findings

Identification of an analogue of the He-McKellar-Wilkens effect due to Lorentz symmetry breaking

Construction of quantum holonomies related to the effect

Analysis of energy level dependence on geometric phase

Abstract

From the effects of the Lorentz symmetry violation in the CPT-even gauge sector of Standard Model Extension, we establish a possible scenario where an analogue of the He-McKellar-Wilkens effect can stem from. Besides, we build quantum holonomies associated with the analogue of the He-McKellar-Wilkens effect and discuss a possible analogy with the holonomic quantum computation [P. Zanardi and M. Rasetti, Phys. Lett. A {\bf264}, 94 (1999)]. Finally, we investigate the dependence of the energy levels on the He-McKellar-Wilkens geometric phase induced by Lorentz symmetry breaking effects when the particle is confined to a hard-wall confining potential.