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

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.

21 pages, 7 figures

References in corpus (9)

• Quantum computing with trapped ions
• Optimized Dynamical Decoupling in a Model Quantum Memory
• Deep Strong Coupling Regime of the Jaynes-Cummings model
• Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
• Quantum simulation of the Klein paradox with trapped ions
• Probing the Dynamics of Superradiant Quantum Phase Transition in a Single Trapped-Ion
• Klein tunneling and Dirac potentials in trapped ions
• Cryogenic setup for trapped ion quantum computing
• Universal Set of Gates for Microwave Dressed-State Quantum Computing

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• Thermodynamic Limit in the Two-qubit Quantum Rabi Model with Spin-Spin Coupling
• Stark-induced tunable phase transition in the two-photon Dicke-Stark model
• Quantum simulations of light-matter interactions in arbitrary coupling regimes