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This research investigates the open quantum Rabi model by demonstrating that oscillator dephasing induces a non-Gaussian phase transition and a cascade of instabilities in bosonic operators. By connecting these dynamics to non-Hermitian Hamiltonians, the study maps stability boundaries and polarization jumps using mean-field analysis and Keldysh field theory. These findings advance fundamental understanding of nonequilibrium steady states in dissipative quantum systems relevant for future qubit architectures.
Non-Gaussian Phase Transition and Cascade of Instabilities in the Dissipative Quantum Rabi Model
arXiv:2507.07092v3 Announce Type: replace Abstract: The open quantum Rabi model describes a two-level system coupled to a harmonic oscillator. A Gaussian phase transition for the nonequilibrium steady states has been predicted when the bosonic mode is soft and subject to damping. We show that oscillator dephasing is a relevant perturbation, which leads to a non-Gaussian phase transition and an intriguing cascade of instabilities for $k$-th order bosonic operators, as well as a jump in the steady-state qubit polarization. For the soft-mode limit, the equations of motion form a closed hierarchy and spectral properties can be efficiently studied. To this purpose, we establish a fruitful connection to non-Hermitian Hamiltonians. The results for the phase diagram, stability boundaries, and relevant observables are based on mean-field analysis, exact diagonalization, perturbation theory, and Keldysh field theory.
Abstract:The open quantum Rabi model describes a two-level system coupled to a harmonic oscillator. A Gaussian phase transition for the nonequilibrium steady states has been predicted when the bosonic mode is soft and subject to damping. We show that oscillator dephasing is a relevant perturbation, which leads to a non-Gaussian phase transition and an intriguing cascade of instabilities for $k$-th order bosonic operators, as well as a jump in the steady-state qubit polarization. For the soft-mode limit, the equations of motion form a closed hierarchy and spectral properties can be efficiently studied. To this purpose, we establish a fruitful connection to non-Hermitian Hamiltonians. The results for the phase diagram, stability boundaries, and relevant observables are based on mean-field analysis, exact diagonalization, perturbation theory, and Keldysh field theory.
Quantum Physics (quant-ph); Atomic Physics (physics.atom-ph)
arXiv:2507.07092 [quant-ph]
(or arXiv:2507.07092v3 [quant-ph] for this version)
Phys. Rev. A 113, L061703 (2026)
https://doi.org/10.1103/q6xb-8t1j DOI(s) linking to related resources
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