Non-Gaussian Phase Transition and Cascade of Instabilities in the Dissipative Quantum Rabi Model
arXiv:2507.07092 · doi:10.1103/q6xb-8t1j
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 -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.
arXiv comment5 pages main text, 13 pages appendix, 8 figures; additional appendices on interpretation in terms of Wigner function dynamics, Fock distributions, and convergence of data in the number of retained oscillator levels; minor improvements; published version
References in corpus (58)
- Gaussian Quantum Information
- Making Sense of Non-Hermitian Hamiltonians
- Non-Hermitian Physics
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- Continuous Quantum Phase Transitions
- On the Integrability of the Rabi Model
- Chaos and the Quantum Phase Transition in the Dicke Model
- Vibrations, Quanta and Biology
- Keldysh Field Theory for Driven Open Quantum Systems
- Quantum Phase Transition and Universal Dynamics in the Rabi model
- Symmetries and conserved quantities in Lindblad master equations
- New class of quantum error-correcting codes for a bosonic mode
- Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
- A quantum memory with near-millisecond coherence in circuit QED
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Dissipative Phase Transition in Central Spin Systems
- Non-perturbative treatment of non-Markovian dynamics of open quantum systems
- Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
- Engineered Dissipation for Quantum Information Science
- Delocalized excitons in natural light harvesting complexes
- Dynamics of Nonequilibrium Dicke Models
- Real-time observation of fluctuations at the driven-dissipative Dicke phase transition
- Qubit-oscillator dynamics in the dispersive regime: analytical theory beyond rotating-wave approximation
- Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
- Realization of the Dicke model using cavity-assisted Raman transitions
- Dicke quantum spin glass of atoms and photons
- Superradiance transition in a system with a single qubit and a single oscillator
- Observation of a quantum phase transition in the quantum Rabi model with a single trapped ion
- Universal scaling and critical exponents of the anisotropic quantum Rabi model
- Dissipative Phase Transition in the Open Quantum Rabi Model
- Suppressing and restoring the Dicke superradiance transition by dephasing and decay
- On the critical exponent of a quantum noise driven phase transition: the open system Dicke-model
- Dynamics of the spin-boson model with a structured environment
- Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems
- Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
- Spin-boson models for quantum decoherence of electronic excitations of biomolecules and quantum dots in a solvent
- Analog quantum simulation of chemical dynamics
- Observation of a superradiant phase transition with emergent cat states
- Driven-dissipative phase transition in a Kerr oscillator: From semiclassical symmetry to quantum fluctuations
- Exact solutions of interacting dissipative systems via weak symmetries
- Superradiant to subradiant phase transition in the open system Dicke model: Dark state cascades
- Field Theory of Many-Body Lindbladian Dynamics
- Quantum capacity and codes for the bosonic loss-dephasing channel
- Smoking-gun signatures of non-Markovianity of a superconducting qubit
- Quantum Simulation of Spin-Boson Models with Structured Bath
- Seeking a quantum advantage with trapped-ion quantum simulations of condensed-phase chemical dynamics
- Closed hierarchy of correlations in Markovian open quantum systems
- Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model
- Criticality and Phase Classification for Quadratic Open Quantum Many-Body Systems
- Trapped-Ion Quantum Simulation of Electron Transfer Models with Tunable Dissipation
- Dissipative evolution of quantum Gaussian states
- Dynamics of photosynthetic light harvesting systems interacting with N-photon Fock states
- Unique Steady-State Squeezing in a Driven Quantum Rabi Model
- On-demand driven dissipation for cavity reset and cooling
- Minimum output entropy of a non-Gaussian quantum channel
- Dissipative Pairing Interactions: Quantum Instabilities, Topological Light, and Volume-Law Entanglement
- Superradiant phase transitions in the quantum Rabi model: Overcoming the no-go theorem through anisotropy
- Simulating open-system molecular dynamics on analog quantum computers