Geometric phases in electric dipole searches with spin-1/2 particles from spin dependent Schr\"odinger equation

TL;DR

This paper presents a quantum mechanical analysis of geometric phases in spin-1/2 particles, highlighting differences from semi-classical models in the context of electric dipole moment searches.

Contribution

It introduces a fully quantum treatment of spin-dependent geometric phases, providing new insights into false signals in electric dipole experiments.

Findings

Quantum analysis reveals differences from semi-classical results

Identifies potential sources of false signals in experiments

Enhances understanding of spin dynamics in electric dipole searches

Abstract

Geometric phases of trapped particles have been recognized as potential sources of false signals in experiments searching for a permanent electric dipole moment of the neutron. We present a new analysis that treats the spin fully quantum mechanically and uses the same model system as previous works based on semi-classical methods. The results are similar but exhibit significant differences in some respects.