Digital-Analog quantum Rabi simulation in the Deep Strong Coupling Regime

TL;DR

This paper explores digital-analog quantum simulation techniques to effectively model the quantum Rabi model in the deep strong coupling regime, enabling prolonged coherent measurements and paving the way for complex many-body bosonic dynamics.

Contribution

It introduces a digital-analog quantum simulation approach for the quantum Rabi model in the deep strong coupling regime, combining digital steps with analog blocks for efficient state evolution.

Findings

Effective simulation of QRM in DSC regime using DAQS

Prolonged coherence during time evolution in simulations

Potential to simulate complex many-body bosonic systems

Abstract

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.