Solutions to the Jaynes-Cummings model without the rotating-wave approximation
arXiv:1011.3280 · doi:10.1209/0295-5075/96/14003
Abstract
By using extended bosonic coherent states, the solution to the Jaynes-Cummings model without the rotating-wave approximation can be mapped to that of a polynomial equation with a single variable. The solutions to this polynomial equation can give all eigenvalues and eigenfunctions of this model with all values of the coupling strength and the detuning exactly, which can be readily applied to recent circuit quantum electrodynamic systems operating in the ultra-strong coupling regime.
6 pages,3 figures
References in corpus (12)
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- 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
- Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
- Generalized rotating-wave approximation for arbitrarily large coupling
- Two-photon probe of the Jaynes-Cummings model and symmetry breaking in circuit QED
- Strong Coupling of a Quantum Oscillator to a Flux Qubit at its Symmetry Point
- Accurate numerical solution to the finite-size Dicke model
- Quantum Zeno and Anti-Zeno Effect without Rotating Wave Approximation
- Qubit-oscillator system: An analytical treatment of the ultra-strong coupling regime
- Entanglement dynamics of two independent Jaynes-Cummings atoms without rotating-wave approximation
- Variational study of a two-level system coupled to a harmonic oscillator in a ultrastrong coupling regime
Cited by in corpus (19)
- Exact solvability of the quantum Rabi models within Bogoliubov operators
- Superradiance transition in a system with a single qubit and a single oscillator
- 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
- First-order and continuous quantum phase transitions in the anisotropic quantum Rabi-Stark model
- Cavity-photon contribution to the effective interaction of electrons in parallel quantum dots
- Absence of collapse in quantum Rabi oscillations
- Nonperturbative Approach to Circuit Quantum Electrodynamics
- Sub-Ohmic spin-boson model with off-diagonal coupling: Ground state properties
- Improved Silbey-Harris polaron ansatz for the spin-boson model
- Application of polaron picture in the two-qubit quantum Rabi model
- Unified analytical treatments to qubit-oscillator systems
- Ground state of the asymmetric Rabi model in the ultrastrong coupling regime
- Inhomogeneous superconducting states in two weakly linked superconducting ultra thin films
- Effective Gibbs state for averaged observables
- Ground state of three qubits coupled to a harmonic oscillator with ultrastrong coupling
- Controlling Excitations Inversion of a Cooper Pair Box Interacting with a Nanomechanical Resonator