Generalized rotating-wave approximation for arbitrarily large coupling
arXiv:0706.2087 · doi:10.1103/PhysRevLett.99.173601
Abstract
A generalized version of the rotating-wave approximation for the single-mode spin-boson Hamiltonian is presented. It is shown that performing a simple change of basis prior to eliminating the off-resonant terms results in a significantly more accurate expression for the energy levels of the system. The generalized approximation works for all values of the coupling strength and for a wide range of detuning values, and may find applications in solid-state experiments.
4 pages, 2 figs, REVTeX 4
References in corpus (7)
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Quantum nature of a strongly-coupled single quantum dot-cavity system
- Resolving photon number states in a superconducting circuit
- Coherent dynamics of a flux qubit coupled to a harmonic oscillator
- Vacuum Rabi oscillations in a macroscopic superconducting qubit LC oscillator system
- Dynamics of a two-level system strongly coupled to a high-frequency quantum oscillator
- Quantum Measurement of a Coupled Nanomechanical Resonator -- Cooper-Pair Box System
Cited by in corpus (189)
- Microwave photonics with superconducting quantum circuits
- Ultrastrong coupling regimes of light-matter interaction
- On the Integrability of the Rabi Model
- Deep Strong Coupling Regime of the Jaynes-Cummings model
- Dissipation and Ultrastrong Coupling in Circuit QED
- Qubit-oscillator systems in the ultrastrong-coupling regime and their potential for preparing nonclassical states
- Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
- The quantum Rabi model: solution and dynamics
- Nonequilibrium Quantum Phase Transitions in the Dicke Model
- Light-matter excitations in the ultra-strong coupling regime
- Analytical eigenstates for the quantum Rabi model
- Anisotropic Rabi model
- Exact states and spectra of vibrationally dressed polaritons
- Rabi model beyond the rotating wave approximation: generation of photons from vacuum through decoherence
- Ultra-Efficient Cooling of Resonators: Beating Sideband Cooling with Quantum Control
- Spectral Classification of Coupling Regimes in the Quantum Rabi Model
- Theoretical methods for ultrastrong light-matter interactions
- Tavis-Cummings model beyond the rotating wave approximation: Quasi-degenerate qubits
- Analytical solutions for the Rabi model
- Qubit-oscillator system: An analytical treatment of the ultra-strong coupling regime
- Ground-state phase diagram of the quantum Rabi model
- Characteristic spectra of circuit quantum electrodynamics systems from the ultrastrong- to the deep-strong-coupling regime
- Fate of photon blockade in the deep strong coupling regime
- Polaron picture of the two-photon quantum Rabi model
- Dynamics of a two-level system coupled to a quantum oscillator: Transformed rotating-wave approximation
- Role of quantum correlations in light-matter quantum heat engines
- Integrability vs Quantum Thermalization
- Photon emission via vacuum-dressed intermediate states under ultrastrong coupling
- Unified Superradiant phase transitions
- Variational study of a two-level system coupled to a harmonic oscillator in a ultrastrong coupling regime
- Refrigeration beyond weak internal coupling
- Symmetric Rotating Wave Approximation for the Generalized Single-Mode Spin-Boson System
- Dynamical correlation functions and the quantum Rabi model
- Generalized coherent states
- Quantum Rabi model for N-state atoms
- Connecting nth order generalised quantum Rabi models: Emergence of nonlinear spin-boson coupling via spin rotations
- Thermodynamics of ultrastrongly coupled light-matter systems
- Parity-dependent State Engineering and Tomography in the ultrastrong coupling regime
- Fast binomial-code holonomic quantum computation with ultrastrong light-matter coupling
- On solvability and integrability of the Rabi model
- Solutions to the Jaynes-Cummings model without the rotating-wave approximation
- The most generalized analytical approximation to the solution of single-mode spin-boson model without rotating-wave approximation
- Ultrastrongly dissipative quantum Rabi model
- Observing pure effects of counter-rotating terms without ultrastrong coupling: A single photon can simultaneously excite two qubits
- Continued Fractions and the Rabi Model
- Generalized squeezing rotating-wave approximation to the isotropic and anisotropic Rabi model in the ultrastrong-coupling regime
- Quantum Rabi-Stark model: Solutions and exotic energy spectra
- Generalized rotating-wave approximation to the two-qubit and cavity coupling system
- Single-photon scattering on a strongly dressed atom
- Time-dependent transport of electrons through a photon cavity
- Qubit-oscillator system under ultrastrong coupling and extreme driving
- One-photon Solutions to Multiqubit Multimode quantum Rabi model
- Manipulating counter-rotating interactions in the quantum Rabi model via qubit frequency modulation
- Analytical ground state for the Jaynes-Cummings model with the ultrastrong coupling
- Oscillator tunneling dynamics in the Rabi model
- Frequency-renormalized multipolaron expansion for the quantum Rabi model
- Collective Radiance Effects in the Ultrastrong Coupling Regime
- Generalized rotating-wave approximation to biased qubit-oscillator systems
- Topologically non-trivial Floquet band structure in a system undergoing photonic transitions in the ultra-strong coupling regime
- Quantum Rabi model in the Brillouin zone with ultracold atoms
- Closed hierarchy of correlations in Markovian open quantum systems
- Quantum thermometry using the ac Stark shift within the Rabi model
- Generalized quantum Rabi model with both one- and two-photon terms: A concise analytical study
- Approximated integrability of the Dicke model
- Analytical solutions by squeezing to the anisotropic Rabi model in the nonperturbative deep-strong coupling regime
- Nonperturbative Waveguide Quantum Electrodynamics
- Attempt to find the hidden symmetry in the asymmetric quantum Rabi model
- Bridging the gap between the Jaynes-Cummings and Rabi models using an intermediate rotating wave approximation
- Metastability in the driven-dissipative Rabi model
- Quantum Rabi Model with Two-Photon Relaxation
- Defining the semiclassical limit of the quantum Rabi Hamiltonian
- Generalized coherent-squeezed-state expansion for the quantum Rabi model
- Creation of quantum correlations between two atoms in a dissipative environment from an initial vacuum state
- Recurrent delocalization and quasi-equilibration of photons in coupled circuit QED systems
- Analytical Solution for the Anisotropic Rabi Model: Effects of Counter-Rotating Terms
- Adiabatic invariants for the regular region of the Dicke model
- Shortcuts to adiabaticity with general two-level non-Hermitian systems
- Multiple ground-state instabilities in the anisotropic quantum Rabi model
- Magnetic-field influenced non-equilibrium transport through a quantum ring with correlated electrons in a photon cavity
- Mean photon number dependent variational method to the Rabi model
- The coherent interaction between matter and radiation - A tutorial on the Jaynes-Cummings model
- Ground state of a resonant two-qubit Rabi model in the ultrastrong coupling regime
- Quantum magneto-electrodynamics of electrons embedded in a photon cavity
- Manipulating entanglement sudden death in two coupled two-level atoms interacting off-resonance with a radiation field: an exact treatment
- Nonperturbative cavity quantum electrodynamics: is the Jaynes-Cummings model still relevant?
- Parity breaking and scaling behavior in light-matter interaction
- Shortcuts to adiabaticity in non-Hermitian quantum systems without rotating-wave approximation
- Generalized adiabatic approximation to the asymmetric quantum Rabi model: conical intersections and geometric phases
- Particle creation in nonstationary large N quantum mechanics
- Generalized adiabatic approximation to the quantum Rabi model
- Absence of collapse in quantum Rabi oscillations
- Jaynes-Cummings Models with trapped electrons on liquid Helium
- Effects of counter-rotating-wave terms on the non-Markovianity in quantum open systems
- The mixed quantum Rabi model
- Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation
- Quantum transport of double quantum dots coupled to an oscillator in arbitrary strong coupling regime
- Variational generalized rotating-wave approximation in the two-qubit quantum Rabi model
- Quantum dynamics of molecular ensembles coupled with quantum light: Counter-rotating interactions as an essential component
- Nonperturbative Approach to Circuit Quantum Electrodynamics
- Large-Scale Schrödinger-Cat States and Majorana Bound States in Coupled Circuit-QED Systems
- Nanomechanical-resonator-assisted induced transparency in a Cooper-pair-box system
- Algebraic structure of the two-qubit quantum Rabi model and its solvability using Bogoliubov operators
- PT-symmetric quantum Rabi model
- Dynamical Quantum Anomalous Hall Effect in Strong Optical Fields
- Squeezed displaced entangled states in the quantum Rabi model
- Simple variational ground state and pure cat state generation in the quantum Rabi model
- Non-orthogonal qubit states expansion for the asymmetric quantum Rabi model
- A progressive diagonalization scheme for the Rabi Hamiltonian
- The vacuum induced Berry phase beyond rotating-wave approximation
- Fixing the rotating-wave approximation for strongly-detuned quantum oscillators
- Characterizing Superradiant Phase of the Quantum Rabi Model
- Relaxation breakdown and resonant tunneling in ultrastrong-coupling cavity QED
- Application of polaron picture in the two-qubit quantum Rabi model
- Spontaneous emission from radiative chiral nematic liquid crystals at the photonic band gap edge: an investigation into the role of the density of photon states near resonance
- Nonlinear dynamical Casimir effect at weak nonstationarity
- Optical-mechanical cooling of a charged resonator
- The asymmetric quantum Rabi model in the polaron picture
- Quantum electrodynamical time-dependent density functional theory on a lattice
- Transmission spectra of the driven, dissipative Rabi model in the USC regime
- Coherent control of the dynamics of single quantum-dot exciton qubit in a cavity
- Analytical solutions and genuine multipartite entanglement of the three-qubit Dicke model
- Cavity-QED interactions of two correlated atoms
- Unified analytical treatments to qubit-oscillator systems
- Photon and phonon statistics in a qubit-plasmon-phonon ultrastrong coupling system
- Ground state of the asymmetric Rabi model in the ultrastrong coupling regime
- New symmetry in the Rabi model
- Fast Amplification and Rephasing of Entangled Cat States in a Qubit-Oscillator System
- Physical background for parameters of the quantum Rabi model
- Nonclassicality of open circuit QED systems in the deep-strong coupling regime
- Entanglement dynamics in a quantum-classical hybrid of two q-bits and one oscillator
- Quantum Fisher information and polaron picture for identification of transition coupling in quantum Rabi model
- Spectral continuum in the Rabi-Stark model
- Landau-Zener-Stueckelberg interferometry with driving fields in the quantum regime
- Simple scheme for extracting work with a single bath
- An analytical variational method for the biased quantum Rabi model in the ultra-strong coupling regime
- On the rotating wave approximation in the adiabatic limit
- A unified diagrammatic approach to quantum transport in few-level junctions for bosonic and fermionic reservoirs: Application to the quantum Rabi model
- Dynamics of a quantum oscillator strongly and off-resonantly coupled with a two-level system
- Detecting ground state qubit self-excitations in circuit QED: slow quantum anti-Zeno effect
- Non-commutative graphs based on finite-infinite system couplings: quantum error correction for a qubit coupled to a coherent field
- The dissipative phase transition in a pair of coupled noisy two-level systems
- Energy Transfer Controlled by Dynamical Stark Shift in Two-level Dissipative Systems
- Photon-Induced Suppression of Interlayer Tunneling in Van Der Waals Heterostructures
- -symmetric quantum Rabi model: Solutions and exceptional points
- Entanglement generation in the ultra-strongly coupled Rabi model
- Scalable Parameter Design for Superconducting Quantum Circuits with Graph Neural Networks
- Floquet analysis of extended Rabi models based on high-frequency expansion
- Controlling qubit-oscillator systems using linear parameter sweeps
- Probing higher-order transitions through scattering of microwave photons in the ultrastrong-coupling regime of circuit QED
- Solvable model of dissipative dynamics in the deep strong coupling regime
- Heat transport in the quantum Rabi model: Universality and ultrastrong coupling effects
- Ground state of three qubits coupled to a harmonic oscillator with ultrastrong coupling
- Generation of the superposition of mesoscopic states of nano-mechanical resonator by a single two-level system
- Quantum criticality driven by the cavity coupling in Rabi-dimer model
- Quantum aspects of spacetime: A quantum optics view of acceleration radiation and black holes
- Spontaneous emission in a quantum system driven by the resonant field beyond the rotating wave approximation
- Mechanically modulated emission spectra and blockade of polaritons
- Adiabatic approximation for three qubits ultrastrongly coupled to a harmonic oscillator
- Resonance phenomena in the interaction of a many-photon wave packet and a qubit
- Adiabatic approximation in the ultrastrong-coupling regime of a system consisting of an oscillator and two qubits
- Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System
- Evolution of a hybrid micro-macro entangled state of the qubit-oscillator system via the generalized rotating wave approximation
- Effective Hamiltonians in the Quantum Rabi Problem
- Detection of emitter-resonator coupling strength in quantum Rabi model via an auxiliary resonator
- Eigenstates of two-level systems in a single-mode quantum field: from quantum Rabi model to -atom Dicke model
- Low-temperature Quantum Metrology Enhanced by Strong Couplings
- Dynamic sensitivity of quantum Rabi model with quantum criticality
- Enhancement of squeezing in the Rabi model with parametric nonlinearity
- Dynamical Algebras in the 1+1 Dirac Oscillator and the Jaynes-Cummings Model
- Parity symmetry and parity breaking in the quantum Rabi model with addition of Ising interaction
- Superconducting Qubits Coupled to Torsional Resonators
- Tunneling of the 3rd Kind: A Test of the Effective Non-locality of Quantum Field Theory
- Enhancing quantum exchanges between two oscillators
- Tripartite quantum Rabi model with trapped Rydberg ions
- Single-photon scattering with counter rotating wave interaction
- Polarized Fock States for Polariton Photochemistry
- Solving the Jaynes-Cummings Model with Shift Operators Constructed by Means of the Matrix-Diagonalizing Technique
- The justification of 'Two-Level Approximation' in strong light-matter interaction
- Nonperturbative electromagnetic nonlinearities, n-photon reflectors, and Fock-state lasers based on deep-strong coupling of light and matter
- Photoinduced vibronic coupling in two-level dissipative systems
- Multilevel Quantum Rabi Models
- Phase Transitions in Light-Matter Systems for Quantum Sensing
- Comment on `Parameter-dependent unitary transformation approach for quantum Rabi model'
- Eigenvalues and Eigenstates of Quantum Rabi Model
- Manipulation of two quantum systems through their mutual interaction in presence of a radiation field
- Beyond the Rabi model: light interactions with polar atomic systems in a cavity
- Analytically solvable model to the spin Hall effect with Rashba and Dresselhaus spin-orbit couplings
- Bipartite entanglement of localized separated systems
- Compact cavity-dressed Hamiltonian framework at arbitrarily strong light-matter coupling