AC Stark effect in ThO $H^3\Delta_1$ for the electron EDM search

TL;DR

This paper presents a computational method to analyze systematic errors in electron EDM experiments using ThO molecules, demonstrating robustness against geometric phase-related errors.

Contribution

Developed a new code for calculating diatomic molecule responses to electromagnetic fields, specifically applied to ThO for electron EDM search systematics analysis.

Findings

Systematics decrease cubically with the frequency of the rotating electric field component.

Experiment on ThO $H^3\Delta_1$ state is highly robust against geometric phase errors.

Calculation confirms the stability of the experimental setup against systematic errors.

Abstract

A method and code for calculations of diatomic molecules in the external variable electromagnetic field have been developed. Code applied for calculation of systematics in the electron's electric dipole moment search experiment on ThO $H^3\Delta_1$ state related to geometric phases, including dependence on $\Omega$-doublet, rotational level, and external static electric field. It is found that systematics decrease cubically with respect to the frequency of the rotating transverse component of the electric field. Calculation confirms that experiment on ThO $H^3\Delta_1$ state is very robust against systematic errors related to geometric phases.