Squeezed displaced entangled states in the quantum Rabi model
arXiv:1904.05964 · doi:10.1103/PhysRevA.100.013811
Abstract
The quantum Rabi model accepts analytical solutions in the so-called degenerate qubit and relativistic regimes with discrete and continuous spectrum, in that order.We show that solutions in the laboratory frame are the superposition of even and odd displaced number states, in the former, and infinitely squeezed coherent states, in the latter, of the boson field correlated to the internal states of the qubit. We propose a single parameter model that interpolates between these discrete and continuous spectrum regimes to study the spectral statistics for first and second neighbor differences before the so-called spectral collapse. We find two central first neighbor differences that interweave and fluctuate keeping a constant second neighbor separation.
arXiv comment15 pages, 5 figures
References in corpus (41)
- Ultrastrong coupling between light and matter
- On the Integrability of the Rabi Model
- Quantum simulation of the Dirac equation
- Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
- Deep Strong Coupling Regime of the Jaynes-Cummings model
- Quantum Phase Transition and Universal Dynamics in the Rabi model
- Generalized rotating-wave approximation for arbitrarily large coupling
- Quantum harmonic oscillator state synthesis by reservoir engineering
- Schrodinger cats and their power for quantum information processing
- Quantum Rabi Model with Trapped Ions
- Quantum simulation of the quantum Rabi model in a trapped ion
- Digital Quantum Rabi and Dicke Models in Superconducting Circuits
- Squeezed States for General Systems
- Two-photon Rabi model: Analytic solutions and spectral collapse
- Exact Solvability of the two-photon Rabi Hamiltonian
- Spin-motion entanglement and state diagnosis with squeezed oscillator wavepackets
- Full spectrum of the Rabi model
- Polaron picture of the two-photon quantum Rabi model
- Exact real-time dynamics of the quantum Rabi model
- Dissipative Quantum Metrology with Spin Cat States
- Beating the standard sensitivity-bandwidth limit of cavity-enhanced interferometers with internal squeezed-light generation
- On solvability and integrability of the Rabi model
- Quantum simulation of driven para-Bose oscillators
- Generalized rotating-wave approximation to the two-qubit and cavity coupling system
- A hidden analytic structure of the Rabi model
- Frequency-renormalized multipolaron expansion for the quantum Rabi model
- Generalized quantum Rabi model with both one- and two-photon terms: A concise analytical study
- Solutions to the quantum Rabi model with two equivalent qubits
- Exceptional solutions in two-mode quantum Rabi models
- Nonclassical and semiclassical para-Bose states
- The "Majoranon" and how to realize it in a tabletop experiment
- Optical simulation of Majorana physics
- Gilmore-Perelomov symmetry based approach to photonic lattices
- Simulating para-Fermi oscillators
- Cross-cavity quantum Rabi model
- Critical phenomena in an extended Dicke model
- Generalized Rabi models: diagonalization in the spin subspace and differential operators of Dunkl type
- Searching for structure beyond parity in the two-qubit Dicke model
- Quasienergy collapse in the driven Jaynes--Cummings--Rabi model: correspondence with a charged Dirac particle in an electromagnetic field
- The asymmetric quantum Rabi model and generalised Pöschl-Teller potentials
- Microscopic approach to field dissipation in the Jaynes-Cummings model
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- Spectral Collapse in the two-photon quantum Rabi model
- Symmetry breaking patterns, tricriticalities and quadruple points in quantum Rabi model with bias and nonlinear interaction
- Generalized coherent-squeezed-state expansion for the quantum Rabi model
- Probing the spectrum of the Jaynes-Cummings-Rabi model by its isomorphism to an atom inside a parametric amplifier cavity
- Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
- Two-photon Rabi-Stark model
- A supersymmetry journey from the Jaynes-Cummings to the anisotropic Rabi model