Deeply Degenerate Fermi Gasses of Strontium-87 in a Magic-Clock Tweezer Array

Many-body simulations of interacting fermions currently rely on degenerate fermi gasses of ultracold atoms trapped in optical lattices. However, adiabatically loading the ultracold gasses into tightly focused optical tweezers can lower the degeneracy parameter and enhance the fermi interactions. We demonstrate loading a three spin-state mixture of strontium-87 atoms from a moderately degenerate fermi gas (T/T_F ~ 0.3) with a temperature, T~33 nK, into a reconfigurable array of optical tweezers. The adiabatic compression lowers the degeneracy parameter to T/T_F~0.015 for each individual tweezer. The optical tweezers are tuned to a novel magic wavelength of the ¹S₀ - ³P₀ clock transition of ⁸⁷Sr at 497.436(2) nm allowing us to probe fermi interactions through spectroscopy of the ultra-narrow transition. The combination of a small wavelength and high numerical aperture objective (NA=0.8) provides diffraction limited trapping potentials of the tweezers that are smaller than the ground state fermi wavefunction width of a single atom. We propose this platform can be used to implement tunnelling and interaction gates of fermionic quantum registers for variational quantum eigensolvers.