Spectral continuum in the Rabi-Stark model
arXiv:2403.16758 · doi:10.1364/JOSAB.524014
Abstract
The Rabi-Stark model is a non-linear generalization of the quantum Rabi model including the dynamical Stark shift as a tunable term, which can be realized via quantum simulation on a cavity QED platform. When the Stark coupling becomes equal to the mode frequency, the spectrum changes drastically, a transition usually termed "spectral collapse" because numerical studies indicate an infinitely degenerate ground state. We show that the spectrum extends continuously from a threshold value up to infinity. A set of normalizable states are embedded in the continuum which furnishes an unexpected analogy to the atomic Stark effect. Bound states and continuum can be obtained analytically through two equally justified, but different confluence processes of the associated differential equation in Bargmann space. Moreover, these results are obtained independently using a method based on adiabatic elimination of the spin degree of freedom and corroborated through large-scale numerical checks.
arXiv comment23 pages, 7 figures; published version
References in corpus (43)
- Circuit Quantum Electrodynamics
- Resonantly Trapped Bound State in the Continuum Laser
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- On the Integrability of the Rabi Model
- Deep Strong Coupling Regime of the Jaynes-Cummings model
- Applications of Bound States in the Continuum in Photonics
- Quantum Phase Transition and Universal Dynamics in the Rabi model
- Generalized rotating-wave approximation for arbitrarily large coupling
- Interference traps waves in open system: Bound states in the continuum
- Exact solvability of the quantum Rabi models within Bogoliubov operators
- The quantum Rabi model: solution and dynamics
- Superradiance transition in a system with a single qubit and a single oscillator
- Spectral collapse via two-phonon interactions in trapped ions
- Some remarks on 'superradiant' phase transitions in light-matter systems
- Bound states in the continuum in photonic structures
- Two-photon Rabi model: Analytic solutions and spectral collapse
- Quantum phase transition in the Dicke model with critical and non-critical entanglement
- Theoretical methods for ultrastrong light-matter interactions
- Cavity QED simulation of qubit-oscillator dynamics in the ultrastrong coupling regime
- A generalization of the quantum Rabi model: exact solution and spectral structure
- Bound States in the Continuum Realized in the One-Dimensional Two-Particle Hubbard Model with an Impurity
- Polaron picture of the two-photon quantum Rabi model
- Analytical method of spectra calculations in the Bargmann representation
- An exactly solvable system from quantum optics
- Selective Interactions in the Quantum Rabi Model
- Spectral Collapse in the two-photon quantum Rabi model
- The hidden symmetry of the asymmetric quantum Rabi model
- Quantum Rabi-Stark model: Solutions and exotic energy spectra
- Strong antibunching in a generalized Rabi model
- Hidden symmetry and tunnelling dynamics in asymmetric quantum Rabi models
- Remarks on the hidden symmetry of the asymmetric quantum Rabi model
- Attempt to find the hidden symmetry in the asymmetric quantum Rabi model
- Determinant expressions of constraint polynomials and the spectrum of the asymmetric quantum Rabi model
- Entanglement resonance in the asymmetric quantum Rabi model
- Multiple ground-state instabilities in the anisotropic quantum Rabi model
- Quantum criticality of the Rabi-Stark model at finite frequency ratios
- Generalized adiabatic approximation to the asymmetric quantum Rabi model: conical intersections and geometric phases
- Spectral determinant of the two-photon quantum Rabi model
- Application of polaron picture in the two-qubit quantum Rabi model
- Unified approach to the nonlinear Rabi models
- Solving and Completing the Rabi-Stark Model in the Ultrastrong Coupling Regime
- The Quantum Rabi model: Towards Braak's conjecture
- Spacing distribution for quantum Rabi models
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- Nonclassical Photon-Bundle Correlations in Quantum Rabi Models