Application of polaron picture in the two-qubit quantum Rabi model

Abstract

The polaron picture is employed to investigate and elucidate the physics of the two-qubit quantum Rabi model, which describes two identical qubits coupled to a common harmonic oscillator. This approach enables us to obtain the ground-state energy and some other simpler physical observables with high accuracy in all regimes of the coupling strengths $g$, while there is no constraint to the ration of tunneling frequency $\Omega$ and field frequency $\omega$, which is not simultaneously possible using previous methods. Besides, we also discover a new phenomenon which is not present in the one-qubit Rabi model: with the increase of coupling strength $g$, there is a transition of the ground state of the system from a multipolaron state to a bipolaron state. However, the tunneling frequency $\Omega$ counteracts this process. Specifically, when tunneling frequency $\Omega =0$, the system always stays in the bipolaron state.

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• Hidden symmetry and tunnelling dynamics in asymmetric quantum Rabi models
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• Quantum phase transitions for an integrable quantum Rabi-like model with two interacting qubits
• Entanglement resonance in the asymmetric quantum Rabi model
• Non-orthogonal qubit states expansion for the asymmetric quantum Rabi model
• Characterizing Superradiant Phase of the Quantum Rabi Model
• Spectral continuum in the Rabi-Stark model
• Tripartite quantum Rabi model with trapped Rydberg ions