Two-photon Rabi-Stark model
arXiv:1912.04140 · doi:10.1088/1751-8121/ab8ef1
Abstract
The analytically exact solutions to the two-photon Rabi-Stark model are given by using the Bogoliubov operators approach. Transcendental functions responsible for the exact solutions are derived. The zeros of the transcendental functions reproduce completely the regular spectra. The first-order quantum phase transitions are also detected by the pole structure of the derived transcendental functions, similar to the one-photon Rabi-Stark model, different from the two-photon Rabi model where the energy levels for the ground-state and the first excited state do not cross. The spectra collapse characteristics resemble those in two-photon Rabi model. Some low lying levels can split off from the collapse energy, different from the one-photon Rabi-Stark model in which all levels collapse.
arXiv comment17 pages, 3 figures
References in corpus (42)
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Microwave photonics with superconducting quantum circuits
- Ultrastrong coupling regimes of light-matter interaction
- On the Integrability of the Rabi Model
- 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
- Exact solvability of the quantum Rabi models within Bogoliubov operators
- Universal scaling and critical exponents of the anisotropic quantum Rabi model
- Two-photon quantum Rabi model with superconducting circuits
- Semi-classical and quantum Rabi models: in celebration of 80 years
- Spectral collapse via two-phonon interactions in trapped ions
- Exact Solvability of the two-photon Rabi Hamiltonian
- Theoretical methods for ultrastrong light-matter interactions
- Cavity QED simulation of qubit-oscillator dynamics in the ultrastrong coupling regime
- Superradiant phase transition in the ultrastrong coupling regime of the two-photon Dicke model
- Ground-state phase diagram of the quantum Rabi model
- Ultrastrong coupling regime of non-dipolar light-matter interactions
- Polaron picture of the two-photon quantum Rabi model
- Analytical method of spectra calculations in the Bargmann representation
- On the solvability of the quantum Rabi model and its 2-photon and two-mode generalizations
- Symmetric Rotating Wave Approximation for the Generalized Single-Mode Spin-Boson System
- An exactly solvable system from quantum optics
- Multiphoton Jaynes-Cummings Model: Arbitrary Rotations in Fock Space and Quantum Filters
- Connecting nth order generalised quantum Rabi models: Emergence of nonlinear spin-boson coupling via spin rotations
- Selective Interactions in the Quantum Rabi Model
- Bogoliubov transformations and exact isolated solutions for simple non-adiabatic Hamiltonians
- Strong antibunching in a generalized Rabi model
- Comment on "Solvability of the two-photon Rabi Hamiltonian"
- On the spectrum of a class of quantum models
- Finite-size scaling analysis in the two-photon Dicke model
- Quantum Rabi Model with Two-Photon Relaxation
- Dark-like states for the multi-qubit and multi-photon Rabi models
- Quantum simulation of multiphoton and nonlinear dissipative spin-boson models
- A continued fraction based approach for the Two-photon Quantum Rabi Model
- Quadratic Lie algebras and quasi-exact solvability of the two-photon Rabi Hamiltonian
- A novel approach to the spectral problem in the two photon Rabi model
- Squeezed displaced entangled states in the quantum Rabi model
- Two-photon Rabi-Hubbard and Jaynes-Cummings-Hubbard models: photon pair superradiance, Mott insulator and normal phases
- Level crossings and new exact solutions of the two-photon Rabi model
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- Critical Spectrum and Quantum Criticality in the Two-Photon Rabi-Stark Model
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