Impacts of random filling on spin squeezing via Rydberg dressing in optical clocks

TL;DR

This paper investigates how Rydberg dressing can generate spin squeezing in optical lattice clocks with random fractional filling, showing it can improve clock stability across various lattice geometries.

Contribution

It provides analytical tools and demonstrates that Rydberg-dressed spin squeezing enhances stability despite random filling in 1D, 2D, and 3D optical lattices.

Findings

Spin squeezing improves clock stability with random filling.

Analytical expressions assist experimental implementation.

Improvements are significant across different lattice geometries.

Abstract

We analyze spin squeezing via Rydberg dressing in optical lattice clocks with random fractional filling. We compare the achievable clock stability in different lattice geometries, including unity-filled tweezer clock arrays and fractionally filled lattice clocks with varying dimensionality. We provide practical considerations and useful tools in the form of approximate analytical expressions and fitting functions to aid in the experimental implementation of Rydberg-dressed spin squeezing. We demonstrate that spin squeezing via Rydberg dressing in one-, two-, and three-dimensional optical lattices can provide significant improvements in stability in the presence of random fractional filling.