Programmable Assembly of Ground State Fermionic Tweezer Arrays

Abstract

We demonstrate deterministic preparation of arbitrary two-component product states of fermionic ${}^6$Li atoms in an 8$\times$8 optical tweezer array, achieving motional ground-state fidelities above $98.5\%$. Leveraging the large differential magnetic moments for spin-resolution, with parallelized site- and number-resolved control, our approach addresses key challenges for low-entropy quantum state engineering. Combined with high-fidelity spin-, site-, and density-resolved readout within a single $20\mu \mathrm{s}$ exposure, and $3\mathrm{s}$ experimental cycles, these advances establish a fast, scalable, and programmable architecture for fermionic quantum simulation.

14 pages, 8 figures

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