The geometric phases in a background with Lorentz-symmetry violation

TL;DR

This paper investigates how Lorentz-symmetry violation affects the quantum dynamics and geometric phases of a neutral spin-half particle with dipole moments in electromagnetic fields, revealing that Lorentz violation influences the electric dipole moment.

Contribution

It introduces a model analyzing the impact of Lorentz-symmetry violation on geometric phases and the He-McKellar-Wilkens effect for a neutral particle with dipole moments.

Findings

Lorentz violation increases the electric dipole moment.

The geometric phase is affected by Lorentz-symmetry violation.

The model extends understanding of quantum phases in Lorentz-violating backgrounds.

Abstract

We analyze the nonrelativistic quantum dynamics of a single neutral spin half particle, with non-zero magnetic and electric dipole moments, moving in an external electromagnetic field in presence of Lorentz symmetry violation background. Also, we study the geometric phase for this model taking into account the parameter that breaks the Lorentz symmetry. We investigate the He-McKellar-Wilkens effect in this context and we verify that Lorentz violation parameter contribute to increase the electric dipole moment of the particle.