Abstract

We discuss the Z3-symmetric Rabi models that describe a three-level system coupled to one or more boson modes. We derive a mapping of the two-mode Z3 Rabi model onto a qubit-boson ring. This mapping allows us to formulate a realistic implementation of the Z3 Rabi model based on superconducting qubits. In addition, we propose a physical implementation of the Z3 Potts model via a coupled chain of Z3 Rabi models.