In a material, the way electrons align their spins to form a magnetic phase strongly depends on the geometry of the crystal they inhabit. In particular, triangular lattice geometries display an effect called geometrical frustration, where up and down spins cannot all be antialigned classically. This effect is thought to give rise to complex and...

Understanding strongly correlated quantum many-body states is one of the most thought-provoking challenges in modern research. For example, the Hubbard model, describing strongly correlated electrons in solids, still contains fundamental open questions on its phase diagram. In this work we realize the Hubbard Hamiltonian and search for specific patterns within many individual images of realizations...

Accessing new regimes in quantum simulation requires the development of new techniques for quantum state preparation. We demonstrate the quantum state engineering of a strongly correlated many-body state of the two-component repulsive Fermi-Hubbard model on a square lattice. Our scheme makes use of an ultralow entropy doublon band insulator created through entropy redistribution. After isolating...