Realizing spin squeezing on an optical-clock transition with Rydberg dressing and assembling a Bose-Hubbard superfluid with tweezer-controlled atoms

Neutral-atom arrays with single-particle detection and control are a powerful tool for quantum science. In this defense, I present results from two projects, both performed with the same tweezer-programmable neutral-strontium-array apparatus. First, we engineer Rydberg interactions to create entangled spin-squeezed states, whose measurement noise can outperform classical limits. In a synchronous optical-frequency comparison between two spin-squeezed ensembles of atoms, we realize a measurement with a stability better than the standard quantum limit. Second, we adiabatically assemble low-entropy superfluid states from arrays of single atoms.