We study the quantum Rabi model (QRM) in the deep strong coupling (DSC) regime. To capture the full dynamics of the QRM in the DSC regime, we implemented single-qubit rotations combined with integrated digital steps and qubit-bosonic blocks. This approach leads to a paradigm known as digital analog quantum simulations (DAQSs). In this work, we review the encoding of QRM in the DSC regime through emerging paradigms of digital and analog techniques. Using DAQSs encoding, an efficient simulation can be performed on state-of-the-art circuit quantum electrodynamics platforms. Finally, we provide detailed information on the dynamics of the QRM in varity of parameter regions. We demonstrate the effectiveness of the DAQS paradigms in achieving prolonged coherent measurements during time evolution, even in the case of perturbative DSC regime dynamics. This proposal lays the groundwork for simulating complex many-body dynamics that involve bosonic modes.
Cite
@article{arxiv.2502.19156,
title = {Digital-Analog quantum Rabi simulation in the Deep Strong Coupling Regime},
author = {Noureddine Rochdi and Rachid Ahl Laamara and Mohamed Bennai},
journal= {arXiv preprint arXiv:2502.19156},
year = {2026}
}
Comments
This version contains technical inaccuracies in the formulation of the effective Hamiltonian and the digital-analog decomposition of the quantum Rabi model, which affect the validity of the results. A corrected and substantially revised manuscript is being prepared for journal submission