Semi-classical and quantum Rabi models: in celebration of 80 years

Abstract

This is an introduction to the special issue collection of articles on "Semi-classical and quantum Rabi models" to be published in J. Phys. A to mark the 80th anniversary of the Rabi model.

arXiv comment4 pages, 2 figures

References in corpus (8)

• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• On the Integrability of the Rabi Model
• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• Deep Strong Coupling Regime of the Jaynes-Cummings model
• Exact solvability of the quantum Rabi models within Bogoliubov operators
• Ultrafast Quantum Gates in Circuit QED
• Quantum Rabi Model with Trapped Ions
• Analytical method of spectra calculations in the Bargmann representation

Cited by in corpus (96)

• Ultrastrong coupling regimes of light-matter interaction
• The quantum Rabi model: solution and dynamics
• Universal scaling and critical exponents of the anisotropic quantum Rabi model
• Enhancing cavity QED via anti-squeezing: synthetic ultra-strong coupling
• Two-photon Rabi model: Analytic solutions and spectral collapse
• Theoretical methods for ultrastrong light-matter interactions
• Unified Superradiant phase transitions
• Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
• Connecting nth order generalised quantum Rabi models: Emergence of nonlinear spin-boson coupling via spin rotations
• Nonlinear Quantum Rabi Model in Trapped Ions
• Selective Interactions in the Quantum Rabi Model
• Cold-atom based implementation of the quantum Rabi model
• Observation of ultra-strong spin-motion coupling for cold atoms in optical microtraps
• Quantum Rabi-Stark model: Solutions and exotic energy spectra
• Symmetry of asymmetric quantum Rabi models
• The hidden symmetry of the asymmetric quantum Rabi model
• Switchable Superradiant Phase Transition with Kerr Magnons
• Quantum Rabi dynamics of trapped atoms far in the deep strong coupling regime
• Classes of Exactly Solvable Generalized Semi-Classical Rabi Systems
• Quantum phase transitions for an integrable quantum Rabi-like model with two interacting qubits
• Approaching ultra-strong coupling in Transmon circuit-QED using a high-impedance resonator
• Generalized quantum Rabi model with both one- and two-photon terms: A concise analytical study
• Generalization of the Tavis-Cummings model for multi-level anharmonic systems
• Determinant expressions of constraint polynomials and the spectrum of the asymmetric quantum Rabi model
• Defining the semiclassical limit of the quantum Rabi Hamiltonian
• Dark-like states for the multi-qubit and multi-photon Rabi models
• Quantum simulation of multiphoton and nonlinear dissipative spin-boson models
• First-order and continuous quantum phase transitions in the anisotropic quantum Rabi-Stark model
• Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model
• Quantum criticality of the Rabi-Stark model at finite frequency ratios
• Quantum entanglement driven by electron-vibrational mode coupling
• Unique Steady-State Squeezing in a Driven Quantum Rabi Model
• The mixed quantum Rabi model
• Quantum simulation of general semi-classical Rabi model beyond strong driving regime
• Driven Multiphoton Qubit-Resonator Interactions
• Quantum Phase Diagrams of Matter-Field Hamiltonians II: Wigner Function Analysis
• Spin-boson model as a simulator of non-Markovian multiphoton Jaynes-Cummings models
• Two-photon Rabi-Stark model
• Simple variational ground state and pure cat state generation in the quantum Rabi model
• Robust topological feature against non-Hermiticity in Jaynes-Cummings Model
• Non-orthogonal qubit states expansion for the asymmetric quantum Rabi model
• Nodes and Spin Windings for Topological Transitions in Light-Matter Interactions: \\ Anisotropic Quantum Rabi Model as a Born Abstract Artist
• Dissipative dynamics in a tunable Rabi dimer with periodic harmonic driving
• Heat kernel for the quantum Rabi model II: propagators and spectral determinants
• Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models
• Applications of Picard and Magnus expansions to the Rabi model
• Hidden symmetry in the biased Dicke model
• Fast Amplification and Rephasing of Entangled Cat States in a Qubit-Oscillator System
• Anti-Dynamical Casimir Effect as a Resource for Work Extraction
• Spin Winding and Topological Nature of Transitions in Jaynes-Cummings Model with Stark Non-linear Coupling
• Time resolved multi-photon effects in the fluorescence spectra of two-level systems at rest and in motion
• Asymptotic behavior of observables in the asymmetric quantum Rabi model
• The heat kernel of the asymmetric quantum Rabi model
• Critical quantum metrology in a stabilized two-photon Rabi model
• Quantum Fisher information and polaron picture for identification of transition coupling in quantum Rabi model
• Implication of giant photon bunching on quantum phase transition in the dissipative anisotropic quantum Rabi model
• The asymmetric quantum Rabi model and generalised Pöschl-Teller potentials
• Ground State Excitation of an Atom Strongly Coupled to a Free Quantum Field
• Critical spectrum of the anisotropic two-photon quantum Rabi model
• Unified approach to the nonlinear Rabi models
• $\mathcal{P}\mathcal{T}$-symmetric quantum Rabi model: Solutions and exceptional points
• General symmetry operators of the asymmetric quantum Rabi model
• Combining Squeezing and Transition Sensitivity Resources for Quantum Metrology by Asymmetric Non-Linear Rabi model
• Bloch-like energy oscillations
• Quantum criticality driven by the cavity coupling in Rabi-dimer model
• Quantum Chaos and Quantum Randomness - Paradigms of Entropy Production on the Smallest Scales
• Dissecting Superradiant Phase Transition in the Quantum Rabi Model
• Periodic quantum Rabi model with cold atoms at deep strong coupling
• A supersymmetry journey from the Jaynes-Cummings to the anisotropic Rabi model
• Analytical solution of the open dispersive Jaynes-Cummings model and perturbative analytical solution of the open quantum Rabi model
• Analytical Study of the Non-Hermitian Semiclassical Rabi Model
• Revisiting the Jaynes-Cummings model with time-dependent coupling
• Quantum aspects of spacetime: A quantum optics view of acceleration radiation and black holes
• Magnetic field fluctuations analysis for the ion trap implementation of the quantum Rabi model in the the deep strong coupling regime
• Periodic jumps in binary lattices with a static force
• Noise reduction via optimal control in a light-matter quantum system
• Globalized Nonlinear Critical Quantum Metrology by Two-photon Rabi-Stark model
• Symmetry operators of the asymmetric two-photon quantum Rabi model
• Upgrading Quantum Metrology by Combined Sensitivity Resources in Mixed Linear-Nonlinear Light-Matter Interactions with Bias Field
• Quantum Features of the Thermal Two-Qubit Quantum Rabi Model in Ultra- and Deep-Strong Regimes
• Simulating spin measurement with a finite heat bath model for the environment
• Eigenstates of two-level systems in a single-mode quantum field: from quantum Rabi model to $N$-atom Dicke model
• Critical Spectrum and Quantum Criticality in the Two-Photon Rabi-Stark Model
• Photon pumping, photodissociation and dissipation at interplay for the fluorescence of a molecule in a cavity
• Anisotropic Rabi model with two-photon relaxation
• Dynamical Casimir effect and state transfer in the ultrastrong coupling regime
• Nonclassical correlations and quadrature squeezing of photons in anisotropic quantum Rabi-Stark model
• GHZ-like states in the Qubit-Qudit Rabi Model
• Loss of integrability in a system with two-photon interactions
• $\mathcal{P}\mathcal{T}$-symmetric two-photon quantum Rabi models
• Single-photon scattering controlled by an imperfect cavity
• Quantum heat transport in nonequilibrium anisotropic Dicke model
• $\mathcal{P}\mathcal{T}$-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics
• Higher order Magnus expansions for driven two-level quantum dynamics
• Quantum phase transition of light in the dissipative Rabi-Hubbard lattice: A dressed-master-equation perspective
• Nonclassical Photon-Bundle Correlations in Quantum Rabi Models