Spin Squeezing in a Molecular Tweezer Array

Optical tweezer arrays of laser-cooled molecules are an emerging platform for quantum science, combining the rich internal structure of molecules with versatile single-particle control. In this talk, we will focus on our investigations of quantum-enhanced metrology with interacting molecules. Using the native electric dipolar interactions that naturally realize an XX spin Hamiltonian, we have created spin-squeezed states of molecules and observed metrological gain for the first time. We further demonstrate squeezing using a Floquet-engineered XXZ model and find that the Ising strength strongly affects the spatial structure of squeezing correlations. Lastly, we show that spin squeezed states -- created with interacting rotational states -- can be transduced to long-lived non-interacting hyperfine states, where they maintain practical metrological advantage for ~100ms. Our work lays the groundwork for future explorations of quantum-enhanced metrology in dipolar interacting systems, including new measurement protocols, the role of geometry, interaction anisotropy, and disorder. They also open the door to quantum-enhanced precision measurement experiments with trapped molecules.