The quantum Rabi model: solution and dynamics
From MaRDI portal
Publication:2979690
DOI10.1088/1751-8121/aa5a65zbMath1362.81105arXiv1609.00434OpenAlexW2517884794WikidataQ61155685 ScholiaQ61155685MaRDI QIDQ2979690
Honghua Zhong, Chaohong Lee, Qiongtao Xie, Murray T. Batchelor
Publication date: 26 April 2017
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.00434
Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Quantum optics (81V80) Exactly and quasi-solvable systems arising in quantum theory (81U15) Special quantum systems, such as solvable systems (81Q80)
Related Items
Hybrid quantum-classical dynamics of pure-dephasing systems * ⋮ Generalized spin-boson models with non-normalizable form factors ⋮ Towards an analytical solution for the triple quantum dot shuttle ⋮ Transmission of coherent information at the onset of interactions ⋮ Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients ⋮ Quantum Rabi–Stark model: solutions and exotic energy spectra ⋮ Squeezing based analytical variational method for the biased quantum Rabi model in the ultrastrong coupling regime ⋮ Determinant Expressions of Constraint Polynomials and the Spectrum of the Asymmetric Quantum Rabi Model ⋮ Quantum criticality driven by the cavity coupling in the Rabi-dimer model ⋮ A generalization of the quantum Rabi model: exact solution and spectral structure ⋮ The heat kernel of the asymmetric quantum Rabi model ⋮ An Analytical solution for a spin-1 Hamiltonian in the adiabatic approximation ⋮ Quantum Thermalization and Thermal Entanglement in the Open Quantum Rabi Model ⋮ Engineering Photon Delocalization in a Rabi Dimer with a Dissipative Bath ⋮ Teleportation of unknown states of a qubit and a single-mode field in strong coupling regime without Bell-state measurement ⋮ Asymptotic formula for large eigenvalues of the two-photon quantum Rabi model ⋮ Behaviour of large eigenvalues for the asymmetric quantum Rabi model ⋮ Generalized Rotating‐Wave Approximation for the Quantum Rabi Model with Optomechanical Interaction ⋮ Including temperature in a wavefunction description of the dynamics of the quantum Rabi model ⋮ Asymptotic behavior of observables in the asymmetric quantum Rabi model ⋮ Exact solution of the two-mode quantum Rabi model ⋮ The asymmetric quantum Rabi model and generalised Pöschl–Teller potentials ⋮ Extended Divisibility Relations for Constraint Polynomials of the Asymmetric Quantum Rabi Model ⋮ Perturbation series for Jacobi matrices and the quantum Rabi model ⋮ Generalized confluent hypergeometric solutions of the Heun confluent equation ⋮ Floquet theory of the analytical solution of a periodically driven two-level system ⋮ Asymptotic Behavior of Large Eigenvalues of the Two-Photon Rabi Model ⋮ Evolutionary dynamics and eigenspectrum of confluent Heun equation ⋮ Two-photon Rabi–Stark model ⋮ Quantum phase transition and spontaneous symmetry breaking in a nonlinear quantum Rabi model ⋮ Symmetry of asymmetric quantum Rabi models ⋮ Symmetry operators of the asymmetric two-photon quantum Rabi model ⋮ The hidden symmetry of the asymmetric quantum Rabi model ⋮ Generalization of the Einstein coefficients and rate equations under the quantum Rabi oscillation ⋮ Hidden symmetry in the biased Dicke model ⋮ Generalized adiabatic approximation to the asymmetric quantum Rabi model: conical intersections and geometric phases
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Concise analytic solutions to the quantum Rabi model with two arbitrary qubits
- On solvability and integrability of the Rabi model
- A hidden analytic structure of the Rabi model
- Resonant modification of the Rabi oscillations of a two-level system
- Strong field effects in the evolution of a two-level system
- Analytical method of spectra calculations in the Bargmann representation
- \(\mathbb Z_N\) symmetric chiral Rabi model: a new \(N\)-level system
- Analytical analysis of the ``collapse-revival effect in the Jaynes-Cummings model
- Geometric curvature and phase of the Rabi model
- Full spectrum of the Rabi model
- Does the Berry phase in a quantum optical system originate from the rotating wave approximation?
- Quasi-exactly-solvable problems and sl(2) algebra
- An exactly solvable system from quantum optics
- Addendum to ‘Algebraic equations for the exceptional eigenspectrum of the generalized Rabi model’
- New symmetry in the Rabi model
- The quantum Rabi model for two qubits
- Hill’s determinant approach to single-mode spin-boson model
- Analytical eigenstates for the quantum Rabi model
- The quantum Rabi model and Lie algebra representations of $\mathfrak{s}{{\mathfrak{l}}_{2}}$
- Quantum Rabi Oscillation: A Direct Test of Field Quantization in a Cavity
- Quantum models with spectrum generated by the flows of polynomial zeros
- Expectation propagation for continuous time stochastic processes
- The asymmetric quantum Rabi model in the polaron picture
- On the existence of monodromies for the Rabi model
- Energy landscape and conical intersection points of the driven Rabi model
- Manipulating quantum entanglement with atoms and photons in a cavity
- The Jaynes–Cummings model beyond the rotating-wave approximation as an intensity-dependent model: quantum statistical and phase properties
- Physical background for parameters of the quantum Rabi model
- Semi-classical and quantum Rabi models: in celebration of 80 years
- On a Hilbert space of analytic functions and an associated integral transform part I
- Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order
- The two-qubit quantum Rabi model: inhomogeneous coupling
- Algebraic equations for the exceptional eigenspectrum of the generalized Rabi model
- Quadratic Lie algebras and quasiexact solvability of the two-photon Rabi Hamiltonian
- On the spectrum of a two-level system
- Two-level system in a one-mode quantum field: numerical solution on the basis of the operator method
- Exact isolated solutions for the two-photon Rabi Hamiltonian
- Quasi exact solution of the Rabi Hamiltonian
- The Jaynes-Cummings Model
- Periodic Spontaneous Collapse and Revival in a Simple Quantum Model
- Bogoliubov transformations and exact isolated solutions for simple nonadiabatic Hamiltonians
- A generalized G‐function for the Quantum Rabi Model
- Short note on the Rabi model
- Continued fractions and the Rabi model
- Mean photon number dependent variational method to the Rabi model
- Exact solvability, non-integrability, and genuine multipartite entanglement dynamics of the Dicke model
- Quasi-exactly solvable systems and orthogonal polynomials
- Analytical energy spectrum for hybrid mechanical systems
- On the solvability of the quantum Rabi model and its 2-photon and two-mode generalizations
- Dynamics of the Jaynes–Cummings and Rabi models: old wine in new bottles
- A parafermionic generalization of the Jaynes–Cummings model
- Solution of the two-qubit quantum Rabi model and its exceptional eigenstates
- Algebraic structure of the two-qubit quantum Rabi model and its solvability using Bogoliubov operators
- Quasi-exactly solvable models based on special functions
- On the Process of Space Quantization
- Space Quantization in a Gyrating Magnetic Field
- Coherence in Spontaneous Radiation Processes