Analytical solutions by squeezing to the anisotropic Rabi model in the nonperturbative deep-strong coupling regime
arXiv:1708.04382 · doi:10.1103/PhysRevA.96.063821
Abstract
A novel, unexplored nonperturbative deep-strong coupling (npDSC) achieved in superconducting circuits has been studied in the anisotropic Rabi model by the generalized squeezing rotating-wave approximation (GSRWA). Energy levels are evaluated analytically from the reformulated Hamiltonian and agree well with numerical ones under a wide range of coupling strength. Such improvement ascribes to deformation effects in the displaced-squeezed state presented by the squeezed momentum variance, which are omitted in the previous displaced state. The population dynamics confirm the validity of our approach for the npDSC strength. Our approach paves a way to the exploration of analysis in qubit-oscillator experiments for the npDSC strength by the displaced-squeezed state.
arXiv comment8 pages,4 figures
References in corpus (24)
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- 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
- Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
- Deep Strong Coupling Regime of the Jaynes-Cummings model
- Ultrastrong coupling of a single artificial atom to an electromagnetic continuum in the nonperturbative regime
- Quantum Phase Transition and Universal Dynamics in the Rabi model
- Generalized rotating-wave approximation for arbitrarily large coupling
- Light-matter decoupling in the deep strong coupling regime: The breakdown of the Purcell effect
- Superradiance transition in a system with a single qubit and a single oscillator
- Strong Coupling of a Quantum Oscillator to a Flux Qubit at its Symmetry Point
- Anisotropic Rabi model
- Spectral Classification of Coupling Regimes in the Quantum Rabi Model
- Tavis-Cummings model beyond the rotating wave approximation: Quasi-degenerate qubits
- Analytical solutions for the Rabi model
- Fate of photon blockade in the deep strong coupling regime
- Ground-state phase diagram of the quantum Rabi model
- Dynamics of a two-level system coupled to a quantum oscillator: Transformed rotating-wave approximation
- Energy spectra for quantum wires and 2DEGs in magnetic fields with Rashba and Dresselhaus spin-orbit interactions
- Goldstone and Higgs modes of photons inside a cavity
- Generalized squeezing rotating-wave approximation to the isotropic and anisotropic Rabi model in the ultrastrong-coupling regime
- Generalized rotating-wave approximation to the two-qubit and cavity coupling system
- Generalized rotating-wave approximation to biased qubit-oscillator systems
- Frequency-renormalized multipolaron expansion for the quantum Rabi model
Cited by in corpus (17)
- Extended Dicke quantum battery with interatomic interactions and driving field
- Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model
- Generalized coherent-squeezed-state expansion for the quantum Rabi model
- Criticality-Enhanced Quantum Sensing in the Anisotropic Quantum Rabi Model
- Simulating Anisotropic quantum Rabi model via frequency modulation
- Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
- Non-orthogonal qubit states expansion for the asymmetric quantum Rabi model
- Universal dynamics of superradiant phase transition in the anisotropic quantum Rabi model
- Relations between quantum metrology and criticality in general su(1, 1) systems
- A supersymmetry journey from the Jaynes-Cummings to the anisotropic Rabi model
- Effective Hamiltonians in the Quantum Rabi Problem
- Detection of emitter-resonator coupling strength in quantum Rabi model via an auxiliary resonator
- Quantum phase transition of two-level atoms interacting with a finite radiation field
- Qubit-nonlinear-oscillator systems: from the moderate-coupling limit to the ultrastrong-coupling regime
- Anisotropic Rabi model with two-photon relaxation
- Quantum Signatures of Chaos in Anisotropic Quantum Rabi Model
- Analytically solvable model to the spin Hall effect with Rashba and Dresselhaus spin-orbit couplings