Magnetic field fluctuations analysis for the ion trap implementation of the quantum Rabi model in the deep strong coupling regime

Abstract

The dynamics of the quantum Rabi model (QRM) in the deep strong coupling regime is theoretically analyzed in a trapped-ion set-up. Recognizably, the main hallmark of this regime is the emergence of collapses and revivals, whose faithful observation is hindered under realistic magnetic dephasing noise. Here, we discuss how to attain a faithful implementation of the QRM in the deep strong coupling regime which is robust against magnetic field fluctuations and at the same time provides a large tunability of the simulated parameters. This is achieved by combining standing wave laser configuration with continuous dynamical decoupling. In addition, we study the role that amplitude fluctuations play to correctly attain the QRM using the proposed method. In this manner, the present work further supports the suitability of continuous dynamical decoupling techniques in trapped-ion settings to faithfully realize different interacting dynamics.

Keywords:

• Rabi model
• trapped-ion
• dynamical decoupling

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the European Research Council Synergy [grant number 319130]; Emulators of Quantum Frustrated Magnetism European Union FP7 ICT-FET OPEN STREP Project; German Research Foundation, Transregio 21 (CRC-TRR 21). The authors was supported by the state of Baden-Württemberg through bwHPC and the German Research Foundation (DFG) [grant number INST 40/467-1 FUGG]. J. C. supported by the Universität Ulm for a Forschungsbonus.