Quantum Gas Microscope - Simulating the Bose-Hubbard model and beyond

The Quantum Gas Microscope enables high fidelity detection of single atoms in a Hubbard-regime optical lattice, bringing ultracold atom research to a new, microscopic level. I will report on investigating the Bose-Hubbard model by directly measuring number statistics and correlations across the superfluid - Mott insulator quantum phase transition. I will then give an outlook on how this enables creating novel phases in optical lattices and realizing quantum magnetism.