Digital Quantum Rabi and Dicke Models in Superconducting Circuits

TL;DR

This paper proposes a method for simulating the quantum Rabi and Dicke models using circuit QED, enabling exploration of regimes beyond traditional cavity QED and demonstrating emergent Dirac dynamics.

Contribution

It introduces an analog-digital quantum simulation approach for these models in superconducting circuits, including the realization of regimes previously inaccessible.

Findings

All physical regimes of the models can be simulated via digital decomposition.

Emergence of Dirac equation dynamics from the quantum Rabi model when mode frequency is zero.

Feasibility analysis confirms practical implementation in superconducting circuits.

Abstract

We propose the analog-digital quantum simulation of the quantum Rabi and Dicke models using circuit quantum electrodynamics (QED). We find that all physical regimes, in particular those which are impossible to realize in typical cavity QED setups, can be simulated via unitary decomposition into digital steps. Furthermore, we show the emergence of the Dirac equation dynamics from the quantum Rabi model when the mode frequency vanishes. Finally, we analyze the feasibility of this proposal under realistic superconducting circuit scenarios.