# Modeling light shifts in optical lattice clocks

## TL;DR

This paper develops an advanced model for lattice-induced light shifts in optical lattice clocks, accounting for higher motional states, and reevaluates light shifts in a Yb clock with high precision.

## Contribution

The paper introduces an extended model that includes radial motional states beyond the harmonic approximation for optical lattice clocks.

## Key findings

- Reevaluated lattice-induced light shifts with 6.1E-18 uncertainty
- Extended model applicable to a wide range of operating conditions
- Improved understanding of motional state effects on clock accuracy

## Abstract

We present an extended model for the lattice-induced light shifts of the clock frequency in optical lattice clocks, applicable to a wide range of operating conditions. The model extensions cover radial motional states with sufficient energies to invalidate the harmonic approximation of the confining potential. We reevaluate lattice-induced light shifts in our Yb optical lattice clock with an uncertainty of 6.1E-18 under typical clock operating conditions.