Electric field dependent g factors of YbOH molecule

TL;DR

This paper calculates how electric fields influence the g factors of YbOH molecule's energy levels, which is crucial for improving electron EDM experiments by controlling systematic effects.

Contribution

It provides the first detailed calculation of electric-field-dependent g factors for YbOH's excited vibrational levels, identifying levels with minimal g factor differences.

Findings

Identified l-doublet levels with small g factor differences

Determined main contributions to g factor differences

Enhanced understanding of systematic effects in eEDM experiments

Abstract

YbOH molecule is one of the most sensitive systems for the electron electric dipole moment ($e$EDM) searches. Zeeman splittings of the $e$EDM sensitive levels have significant implications to control and suppress important systematic effects due to stray magnetic field in experiments for $e$EDM searches. The electric-field-dependent g factors of the lowest rotational level of the first excited bending vibrational mode of $^{174}$YbOH are calculated. l-doublet levels with small g factors difference are found and main contributions to the difference are determined.