Quantum gas microscopes have expanded the understanding of many-particle physics with their unique ability of single atom resolved imaging. Quantum gas microscopes provide microscopic information of quantum many-body states through spatial correlation functions. Relying on the unique tunability of ultracold atoms in atomic interactions via Feshbach resonances, density, and spin-imbalance, we study a wide parameter range in the phase diagram. Interestingly, a triangular lattice is the simplest example of geometric frustration because three spins with antiferromagnetic interactions cannot be antiparallel, leading to large degeneracies in the many-body ground state . In this talk, I present a Mott insulator of lithium-6 on a symmetric triangular lattice with a lattice spacing of 1003 nm. The lattice is imaged via a Raman sideband cooling technique with imaging fidelity of 98% . We calibrated tunneling by extracting lattice depth from band excitation and the interaction is determined using doublon formation. We can access single-species singles components with the use of doublon hiding  and spin removal techniques  to detect spin-spin correlations. We compare the results to Determinantal Quantum Monte Carlo calculations, plan to investigate 120° Neel ordering in Heisenberg antiferromagnets, and search for quantum spin liquids in the triangular lattice Hubbard system.
 L. Balents, Nature 464, 7286 (2010).
 J. Yang, et al., PRX Quantum 2, 020344 (2021).
 P. T. Brown, et al., Science 357, 6358 (2017).
 M. F. Parsons, et al., Science 353, 1253 (2016).