A Long Range Interacting Erbium Hubbard Quantum Simulator*

Long-range interactions play an important role in nature; however, quantum simulations of lattice systems have largely not been able to realize such interactions. We report on recent developments of our Erbium dipolar quantum gas microscope. Our 266 nm lattice spacing magnifies various long range interactions, specifically magnetic dipole interactions, as well as optical near field effects. We recently resolved dipolar quantum solids at half filling generated by the magnetic dipole interaction. Adding finite onsite interaction would, at unity filling, allow for preparation of a topological Haldane insulator. We explore the properties of various magnetic Fano-Feschbach resonances to operate in the soft-core extended Hubbard model. In addition, our deeply sub-wavelength lattice allows for super and sub radiance on our 841 nm transition. Combined with our tunable spacing accordion lattice we are able to explore the radiance phase diagram of extended optical emitter arrays with single site resolution. This work demonstrates that novel strongly correlated quantum phases and dynamics can be studied using dipolar interaction in optical lattices, opening the door to quantum simulations of a wide range of lattice models with long-range interactions.