Quantum phases of Rydberg atoms on a Shastry-Sutherland lattice*

We explore the phase diagram of Rydberg atoms in a frustrated Shastry-Sutherland lattice. Using the density matrix renormalization group, we map out a rich phase diagram in a three-dimensional parameter space that is naturally realizable in current Rydberg atom platforms. In particular, besides a plethora of classical phases, we show the presence of phases stabilized exclusively by quantum fluctuations. This includes an ordered phase and a quantum dimer phase. We employ order parameter symmetry analysis to show the presence of novel quantum critical points. Lastly, we study the feasibility of quantum phase preparation in real experimental systems.