Curator's Take
This article presents a significant theoretical bridge connecting quantum optics models to practical superconducting quantum hardware implementations. The researchers demonstrate how the Z3 Rabi model, which describes three-level quantum systems interacting with light, can be mapped onto more familiar qubit-boson configurations that are readily achievable with current superconducting circuit technology. Most intriguingly, they show how chains of these Z3 Rabi models can implement the Z3 Potts model, a quantum many-body system that's notoriously difficult to simulate but crucial for understanding exotic phases of matter and quantum magnetism. This work provides a concrete pathway for experimentally exploring complex quantum phenomena using existing quantum computing platforms, potentially opening new avenues for quantum simulation applications.
— Mark Eatherly
Summary
We study $\mathbb{Z}_3$-symmetric Rabi model that describes a three-level system coupled to two bosonic modes. We derive a mapping of the two-mode $\mathbb{Z}_3$ Rabi model onto a qubit-boson ring. This mapping allows us to formulate a realistic implementation of the $\mathbb{Z}_3$ Rabi model based on superconducting qubits. It also provides context for the previously proposed optomechanical implementation of the $\mathbb{Z}_3$ Rabi model. In addition, we propose a physical implementation of the $\mathbb{Z}_3$ Potts model via a coupled chain of $\mathbb{Z}_3$ Rabi models.