Quantum Rabi Model with Trapped Ions

Abstract

We propose the quantum simulation of the quantum Rabi model in all parameter regimes by means of detuned bichromatic sideband excitations of a single trapped ion. We show that current setups can reproduce, in particular, the ultrastrong and deep strong coupling regimes of such a paradigmatic light-matter interaction. Furthermore, associated with these extreme dipolar regimes, we study the controlled generation and detection of their entangled ground states by means of adiabatic methods. Ion traps have arguably performed the first quantum simulation of the Jaynes-Cummings model, a restricted regime of the quantum Rabi model where the rotating-wave approximation holds. We show that one can go beyond and experimentally investigate the quantum simulation of coupling regimes of the quantum Rabi model that are difficult to achieve with natural dipolar interactions.

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Cited by in corpus (121)

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• Semi-classical and quantum Rabi models: in celebration of 80 years
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• Probing the Dynamics of Superradiant Quantum Phase Transition in a Single Trapped-Ion
• Spectral Classification of Coupling Regimes in the Quantum Rabi Model
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• Superradiant phase transition in the ultrastrong coupling regime of the two-photon Dicke model
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• Unified Superradiant phase transitions
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• Nonlinear Quantum Rabi Model in Trapped Ions
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• The mixed quantum Rabi model
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• Entanglement dynamics of the ultra-strong coupling three-qubit Dicke model
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