Simulating Interacting Quantum Spins with Molecular Tweezer Arrays: From Quantum Many-Body Dynamics to Spin-Squeezing*

Programmable molecular tweezer arrays are an emerging platform for quantum science. In the past few years, our group and others have significantly advanced the level of control over molecules in this platform. Crucially, the building blocks of high-fidelity molecular detection, initialization of molecular arrays and their deterministic entanglement, have now been demonstrated. These developments open the door to using molecular arrays for quantum simulation, quantum information processing, and quantum-enhanced sensing.

In this talk, I will report our recent work where we have performed the first quantum many-body simulation experiments and spin-squeezing experiments with molecular arrays. Using two new capabilities that we have developed - mid-circuit enhanced quantum state preparation and Floquet Hamiltonian engineering of effective spin-spin interactions, we have realized quantum spin models with tunable effective spin interactions of 1/r^3 XX/XXZ/XYZ form in the geometry of 1D chains. In the first part, I will first describe out-of-equilibrium quantum dynamics that we have observed in these interacting spin systems, which include coherent quantum walks of single spin excitations, formation of repulsive magnon bound states, and coherent pair creation and annihilation. I will then discuss how we have used these spin models to dynamically create entangled states for quantum sensing with metrological gain. In particular, I will report on the first demonstration of spin-squeezing of molecules.