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

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.

Automated summary

This study analyzes spin squeezing via Rydberg dressing in optical lattice clocks with random fractional filling, comparing clock stability in different lattice geometries and providing practical tools for experimental implementation. The results demonstrate that spin squeezing in one-, two-, and three-dimensional optical lattices using Rydberg dressing can significantly improve stability in the presence of random fractional filling.