Probing the Dynamics of Superradiant Quantum Phase Transition in a Single Trapped-Ion

Abstract

We demonstrate that the quantum phase transition (QPT) of the Rabi model and critical dynamics near the QPT can be probed in the setup of a single trapped ion. We first show that there exists equilibrium and non-equilibrium universal functions of the Rabi model by finding a proper rescaling of the system parameters and observables. We then propose a scheme that can faithfully realize the Rabi model in the limit of a large ratio of the effective atomic transition frequency to the oscillator frequency using a single trapped-ion and therefore the QPT. It is demonstrated that the predicted universal functions can indeed be observed based on our scheme. Finally, the effects of realistic noise sources on probing the universal functions in experiments are examined.

Main text: 5 pages, 3 figures; supplemental material: 6 pages, 4 figures

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Cited by in corpus (13)

• Observation of a quantum phase transition in the quantum Rabi model with a single trapped ion
• Dissipative Phase Transition in the Open Quantum Rabi Model
• Some remarks on 'superradiant' phase transitions in light-matter systems
• A robust scheme for the implementation of the quantum Rabi model in trapped ions
• Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
• Fidelity Susceptibility in the Quantum Rabi Model
• Chiral waveguide optomechanics: first order quantum phase transitions with ${\mathbb{Z}}_3$ symmetry breaking/
• Projection based adiabatic elimination of bipartite open quantum systems
• An analytical variational method for the biased quantum Rabi model in the ultra-strong coupling regime
• Superradiant phase transition induced by the indirect Rabi interaction
• Quantum Simulation of Non-perturbative Cavity QED with Trapped Ions
• Dynamic sensitivity of quantum Rabi model with quantum criticality
• Quantum simulations of light-matter interactions in arbitrary coupling regimes