We demonstrate atom-resolved detection of itinerant bosonic ${}^{23}\mathrm{Na}$ and fermionic ${}^6\mathrm{Li}$ quantum gases, enabling the direct in situ measurement of interparticle correlations. In contrast to prior work on lattice-trapped gases, here we realize microscopy of quantum gases in the continuum. We reveal Bose-Einstein condensation with single-atom resolution, measure the enhancement of two-particle $g^{(2)}$ correlations of thermal bosons, and observe the suppression of $g^{(2)}$ for fermions; the Fermi or exchange hole. For strongly interacting Fermi gases confined to two dimensions, we directly observe nonlocal fermion pairs in the BEC-BCS crossover. We obtain the pair size and the short-range contact directly from the pair correlations. In situ thermometry is enabled via the fluctuation-dissipation theorem. Our technique opens the door to the atom-resolved study of strongly correlated quantum gases of bosons, fermions, and their mixtures.

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• BCS-BEC crossover
• Bose gases
• Bose-Einstein condensates
• Fermi gases
• Fluctuation-dissipation theorem
• Superfluidity
• Ultracold collisions
• 2-dimensional systems
• Atomic gases
• Ultracold gases
• Correlation function measurements