Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime

Abstract

We measure the dispersive energy-level shift of an $LC$ resonator magnetically coupled to a superconducting qubit, which clearly shows that our system operates in the ultrastrong coupling regime. The large mutual kinetic inductance provides a coupling energy of $\approx 0.82$~GHz, requiring the addition of counter-rotating-wave terms in the description of the Jaynes-Cummings model. We find a 50~MHz Bloch-Siegert shift when the qubit is in its symmetry point, fully consistent with our analytical model.

arXiv commentPublished version (4 pages, 4 figures), including supplementary material (2 pages, 4 figures)

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• Critical Spectrum and Quantum Criticality in the Two-Photon Rabi-Stark Model
• Amplitude modulated Bloch oscillations of photon probability distribution in a cavity-atom system
• Ultranarrow spectral line of the radiation in double qubit-cavity ultrastrong coupling system
• Enhancement of squeezing in the Rabi model with parametric nonlinearity
• Enhancing quantum exchanges between two oscillators
• Circuit QED Spectra in the Ultrastrong Coupling Regime: How They Differ from Cavity QED
• Dynamical Correlation Functions of the Quadratic Coupling Spin-Boson Model
• Comparison of semiclassical and quantum models of a two-level atom-cavity QED system in the strong coupling regime
• Circuit-based cavity magnonics in the ultrastrong and deep-strong coupling regimes
• Dynamic sensitivity of quantum Rabi model with quantum criticality
• Solving and Completing the Rabi-Stark Model in the Ultrastrong Coupling Regime
• Parity symmetry and parity breaking in the quantum Rabi model with addition of Ising interaction
• Incoherent-mediator for quantum state transfer in the ultrastrong coupling regime
• Hybrid Rabi interaction with traveling states of light
• Dispersive regime of multiphoton qubit-oscillator interactions
• Off resonance coupling between a cavity mode and an ensemble of driven spins
• Electromagnetic waves propagation through an array of superconducting qubits: manifestations of non-equilibrium steady states of qubits
• The justification of 'Two-Level Approximation' in strong light-matter interaction
• GHZ-like states in the Qubit-Qudit Rabi Model
• High-frequency suppression of inductive coupling between flux qubit and transmission line resonator
• Phase Transitions in Light-Matter Systems for Quantum Sensing
• Bosonic Entanglement and Quantum Sensing from Energy Transfer in two-tone Floquet Systems
• Release of virtual photon and phonon pairs from qubit-plasmon-phonon ultrastrong coupling system
• From Few to Many Emitters Cavity QED: Energy Levels and Emission Spectra From Weak to Deep-Strong Coupling
• Two-Photon Scattering in USC regime
• Superradiant Phase Transition and Statistical Properties in the Dicke-Stark Model
• Nonclassical correlations and quadrature squeezing of photons in anisotropic quantum Rabi-Stark model
• Gain-driven magnon-polariton dynamics in the ultrastrong coupling regime: Effective circuit approach for coherence versus nonlinearity
• Optimal control of a dissipative micromaser quantum battery in the ultrastrong coupling regime
• Ginzburg-Landau Theory for Confined Thin-Film Superconductors
• Dressed atom revisited: Hamiltonian-independent treatment of the radiative cascade
• Single-photon scattering with counter rotating wave interaction
• Generalization of the Einstein coefficients and rate equations under the quantum Rabi oscillation
• On-Chip Photonic Transistor based on the Spike Synchronization in Circuit QED
• Dynamical properties of the Rabi model
• Ultrastrong capacitive coupling of flux qubits
• Partial Decoherence and Thermalization through Time-Domain Ergodicity
• Ladder of Loschmidt anomalies in the deep strong-coupling regime of a qubit-oscillator system
• Quantum phase transition of light in the dissipative Rabi-Hubbard lattice: A dressed-master-equation perspective
• Quantum Criticality in the Biased Dicke Model
• Non-destructively probing the thermodynamics of quantum systems with qumodes
• Dissipative Rabi model for deep strong far-off-resonant driving
• A correspondence between the Rabi model and an Ising model with long-range interactions
• Heisenberg-Langevin Formalism For Open Circuit-QED Systems
• Study of the spin kitten states in a strongly coupled spin-oscillator system
• Emergence of Rich Dissipative Phases in the Anisotropic Quantum Rabi Model Driven by the $A^2$ Term
• Nonclassical Photon-Bundle Correlations in Quantum Rabi Models
• Stabilization of product states and excited-state quantum phase transitions in a coupled qubit-field system
• Two-Polariton Blockade via Ultrastrong Light-Matter Coupling
• Quantifying the breakdown of the rotating-wave approximation in single-photon superradiance
• Bipartite entanglement of localized separated systems
• Probing the structure of entanglement with entanglement moments
• Elliptical rotation of cavity amplitude in ultrastrong waveguide QED