Nonlinear Quantum Rabi Model in Trapped Ions

Abstract

We study the nonlinear dynamics of trapped-ion models far away from the Lamb-Dicke regime. This nonlinearity induces a sideband cooling blockade, stopping the propagation of quantum information along the Hilbert space of the Jaynes-Cummings and quantum Rabi models. We compare the linear and nonlinear cases of these models in the ultrastrong and deep strong coupling regimes. Moreover, we propose a scheme that simulates the nonlinear quantum Rabi model in all coupling regimes. This can be done via off-resonant nonlinear red and blue sideband interactions, yielding applications as a dynamical quantum filter.

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Cited by in corpus (22)

• Polaron picture of the two-photon quantum Rabi model
• Finite-system Multicriticality at the Superradiant Quantum Phase Transition
• Selective Interactions in the Quantum Rabi Model
• Dissipation-induced bistability in the two-photon Dicke model
• Waveguide QED with Quadratic Light-Matter Interactions
• Quantum simulation of multiphoton and nonlinear dissipative spin-boson models
• Simulating Anisotropic quantum Rabi model via frequency modulation
• Time-dependent nonlinear Jaynes-Cummings dynamics of a trapped ion
• Two-photon-interaction effects in the bad-cavity limit
• Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
• Spin-boson model as a simulator of non-Markovian multiphoton Jaynes-Cummings models
• Coherence properties of highly-excited motional states of a trapped ion
• Unified approach to the nonlinear Rabi models
• Spectral response of a nonlinear Jaynes-Cummings model
• Floquet analysis of extended Rabi models based on high-frequency expansion
• Stabilization of cat-state manifolds using nonlinear reservoir engineering
• Anti-Localization in Oxides: Effective Spin-3/2 Model
• Tripartite quantum Rabi model with trapped Rydberg ions
• Engineering $\mathrm{SU}(1,1)\otimes \mathrm{SU}(1,1)$ vibrational states
• Observing the Spectral Collapse of Two-Photon Interaction Models
• Anomalous quantum correlations in the motion of a trapped ion
• Mean Field Theory for the Quantum Rabi Model, Inconsistency to the Rotating Wave Approximation