Cross-cavity quantum Rabi model

TL;DR

This paper introduces the cross-cavity quantum Rabi model, explores its properties across different coupling regimes, and proposes a method for quantum simulation using a trapped ion system.

Contribution

It presents the first detailed study of the cross-cavity quantum Rabi model and its potential simulation with trapped ions, expanding understanding of multi-mode light-matter interactions.

Findings

Diagonalization and spectral analysis across regimes

Identification of parity deformed oscillator structure

Proposal for quantum simulation with trapped ions

Abstract

We introduce the cross-cavity quantum Rabi model describing the interaction of a single two-level system with two orthogonal boson fields and propose its quantum simulation by two-dimensional, bichromatic, first-sideband driving of a single trapped ion. We provide an introductory survey of the model, including its diagonalization in the two-level system basis, numerical spectra and its characteristics in the weak, ultra strong and deep strong coupling regimes. We also show that the particular case of degenerate field frequencies and balanced couplings allows us to cast the model as two parity deformed oscillators in any given coupling regime.