The simplest form of the Hubbard model includes only on-site interactions, but by placing an optical lattice filled with ultracold rubidium atoms into an optical cavity the Hubbard model is implemented with competing long- and short-range interactions; four phases emerge, namely, a superfluid phase, a Mott insulating phase, a supersolid phase and a charge density wave phase.
- Renate Landig
- Lorenz Hruby
- Tilman Esslinger