Topological Supercoductor with Rydberg Atom in Optical Lattice

Rydberg atoms have been widely used for quantum simulations in many-body physics and quantum computation, with their quantum control capability advancing rapidly in recent years. In this study, we demonstrate that the Rydberg atom system is accessible for simulating p-wave superconductivity with tunable interactions. We consider an ultracold Fermion system in an optical lattice with directional attractive Rydberg interactions and design a digital-analog scheme in which the evolution of atoms generates chiral superconducting current around the boundary of the lattice. Controllability is introduced by exciting atoms to the Rydberg state with a tunable time sequence. The p-wave superconducting ground state can be reached from a paramagnetic initial state. Our method implies a more general approach to quantum state simulation.