PT-symmetric quantum Rabi model

Abstract

In this work, we explore the PT-symmetric quantum Rabi model, which describes a PT-symmetric qubit coupled to a quantized light field. By employing the adiabatic approximation (AA), we are able to solve this model analytically in the parameter regime of interest and analyze various physical aspects. We investigate the static and dynamic properties of the model, using both the AA and numerical diagonalization. Our analysis reveals a multitude of exceptional points (EPs) that are closely connected with the exactly solvable points in the Hermitian counterpart of the model. Intriguingly, these EPs vanish and revive depending on the light-matter coupling strength. Furthermore, we discuss the time evolution of physical observables under the non-Hermitian Hamiltonian. Rich and exotic behaviors are observed in both strong and ultra-strong coupling regimes. Our work extends the theory of PT symmetry into the full quantum light-matter interaction regime and provides insights that can be readily enlarged to a broad class of quantum optical systems.

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Cited by in corpus (10)

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• Analytical Study of the Non-Hermitian Semiclassical Rabi Model
• Vacuum Rabi Splitting and Quantum Fisher Information of a Non-Hermitian Qubit in a Single-Mode Cavity
• Tripartite quantum Rabi model with trapped Rydberg ions
• Anisotropic Rabi model with two-photon relaxation
• $\mathcal{P}\mathcal{T}$-symmetric two-photon quantum Rabi models
• Topological enhancement of a PT-symmetric Su-Schrieffer-Heeger quantum battery
• Nonclassical Photon-Bundle Correlations in Quantum Rabi Models
• $\mathcal{P}\mathcal{T}$-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics
• Parity-Time Symmetric Spin-1/2 Richardson-Gaudin Models