A robust scheme for the implementation of the quantum Rabi model in trapped ions

TL;DR

This paper demonstrates how concatenated continuous dynamical decoupling (CCD) can be used to robustly implement the quantum Rabi model in trapped ions, enabling exploration of relativistic quantum phenomena and phase transitions with high fidelity.

Contribution

It introduces a CCD-based scheme for implementing the quantum Rabi model in trapped ions, enhancing robustness against noise across various parameter regimes.

Findings

CCD improves fidelity of quantum Rabi model implementation

Effective noise suppression demonstrated in trapped-ion setup

Enables simulation of relativistic quantum effects and phase transitions

Abstract

We show that the technique known as concatenated continuous dynamical decoupling (CCD) can be applied to a trapped-ion setup for a robust implementation of the quantum Rabi model in a variety of parameter regimes. These include the case where the Dirac equation emerges, and the limit in which a quantum phase transition takes place. We discuss the applicability of the CCD scheme in terms of the fidelity between different initial states evolving under an ideal quantum Rabi model and their corresponding trapped-ion realization, and demonstrate the effectiveness of noise suppression of our method.