Critical quantum metrology in a stabilized two-photon Rabi model
arXiv:2503.19198 · doi:10.1002/qute.202500263
Abstract
We investigate a generalized quantum Rabi model (QRM) with two- and four-photon terms with respect to applications for non-linear critical quantum metrology. In the introduced model, the spectral collapse occurring in the standard two-photon QRM is stabilized by the presence of the quartic potential. The collapse is then transformed into a quantum phase transition, which occurs in the low-frequency limit of the light mode, whose remnant at finite ratio between qubit and mode frequencies can be applied to critically enhanced quantum metrology. We find that the four-photon term entails a much higher measurement precision compared to the standard two-photon QRM. The mechanism behind the higher precision can be traced to the different behavior of the ground state wave function as the system is tuned through the transition. As the standard two-photon QRM, despite the absence of the spectral collapse, our model allows for a finite preparation time for the probe state (PTPS).
8 pages, 7 figures
References in corpus (119)
- Quantum sensing
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
- Ultrastrong coupling between light and matter
- 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
- Ground state overlap and quantum phase transitions
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Quantum vacuum properties of the intersubband cavity polariton field
- Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
- Fidelity approach to quantum phase transitions
- Ultrastrong coupling of the cyclotron transition of a two-dimensional electron gas to a THz metamaterial
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Deep Strong Coupling Regime of the Jaynes-Cummings model
- Quantum speed limit for physical processes
- 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
- Quantum criticality as a resource for quantum estimation
- Critical Quantum metrology with a finite-component quantum phase transition
- Terahertz light-matter interaction beyond unity coupling strength
- Quantum correlations of confined exciton-polaritons
- Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
- Dynamic framework for criticality-enhanced quantum sensing
- Superradiance transition in a system with a single qubit and a single oscillator
- Observation of a quantum phase transition in the quantum Rabi model with a single trapped ion
- Switchable ultrastrong coupling in circuit QED
- Enhanced metrology at the critical point of a many-body Rydberg atomic system
- Optimal quantum estimation in spin systems at criticality
- Universal scaling and critical exponents of the anisotropic quantum Rabi model
- Two-photon quantum Rabi model with superconducting circuits
- Criticality-Enhanced Quantum Sensing via Continuous Measurement
- Semi-classical and quantum Rabi models: in celebration of 80 years
- Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems
- Spectral collapse via two-phonon interactions in trapped ions
- Probing the Dynamics of Superradiant Quantum Phase Transition in a Single Trapped-Ion
- Some remarks on 'superradiant' phase transitions in light-matter systems
- Critical parametric quantum sensing
- Dynamical phase transitions as a resource for quantum enhanced metrology
- Two-photon Rabi model: Analytic solutions and spectral collapse
- Quantum amplification and simulation of strong and ultrastrong coupling of light and matter
- Exact Solvability of the two-photon Rabi Hamiltonian
- Method for observing robust and tunable phonon blockade in a nanomechanical resonator coupled to a charge qubit
- Quantum sensing close to a dissipative phase transition: symmetry breaking and criticality as metrological resources
- A quantum transducer using a parametric driven-dissipative phase transition
- Multiphoton blockade in the two-photon Jaynes-Cummings model
- Superradiant phase transition in the ultrastrong coupling regime of the two-photon Dicke model
- Global sensing and its impact for quantum many-body probes with criticality
- Gauge ambiguities imply Jaynes-Cummings physics remains valid in ultrastrong coupling QED
- A generalization of the quantum Rabi model: exact solution and spectral structure
- Dicke coupling by feasible local measurements at the superradiant quantum phase transition
- Ground-state phase diagram of the quantum Rabi model
- Universal spectral features of ultrastrongly coupled systems
- Ultrastrong coupling regime of non-dipolar light-matter interactions
- Polaron picture of the two-photon quantum Rabi model
- Continuous sensing and parameter estimation with the boundary time-crystal
- Hybrid systems for the generation of non-classical mechanical states via quadratic interactions
- Many-body nonlocality as a resource for quantum-enhanced metrology
- Combining critical and quantum metrology
- Quantum transition-edge detectors
- Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling
- Unified Superradiant phase transitions
- Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
- Nonreciprocal Superradiant Phase Transitions and Multicriticality in a Cavity QED System
- Finite-system Multicriticality at the Superradiant Quantum Phase Transition
- Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point
- Selective Interactions in the Quantum Rabi Model
- Quantum metrology beyond the Quantum Cramér-Rao theorem
- Spectral Collapse in the two-photon quantum Rabi model
- Critical quantum metrology assisted by real-time feedback control
- Adiabatic quantum metrology with strongly correlated quantum optical systems
- Quantum behavior of a superconducting Duffing oscillator at the dissipative phase transition
- Critical slowing down in the bistable regime of circuit quantum electrodynamics
- Microwave photon detection at parametric criticality
- Ultrastrong Jaynes-Cummings Model
- Supersensitive quantum sensor based on criticality in an antiferromagnetic spinor condensate
- Squeezing by Critical Speeding-up: Applications in Quantum Metrology
- Switchable Superradiant Phase Transition with Kerr Magnons
- Multiparameter critical quantum metrology with impurity probes
- Generalized fidelity susceptibility at phase transitions
- Approaching Heisenberg-scalable thermometry with built-in robustness against noise
- Exponential precision by reaching a quantum critical point
- Oscillator tunneling dynamics in the Rabi model
- Optimality and Noise-Resilience of Critical Quantum Sensing
- Quantum phase transitions for an integrable quantum Rabi-like model with two interacting qubits
- Symmetry breaking patterns, tricriticalities and quadruple points in quantum Rabi model with bias and nonlinear interaction
- Dissipative phase transitions in -photon driven quantum nonlinear resonators
- Multiphoton resonance and chiral transport in the generalized Rabi model
- Mass sensing by quantum criticality
- Criticality-enhanced Electric Field Gradient Sensor with Single Trapped Ions
- Localization Driven Quantum Sensing
- Quantum phase transition of the Jaynes-Cummings model
- Modular Many-Body Quantum Sensors
- Collective quantum enhancement in critical quantum sensing
- Hidden Single-Qubit Topological Phase Transition without Gap Closing in Anisotropic Light-Matter Interactions
- Enhancement of Quantum Sensing in a Cavity Optomechanical System around Quantum Critical Point
- Enhanced Two-Parameter Phase-Space-Displacement Estimation Close to Dissipative Phase Transition
- Dissipative Adiabatic Measurements: Beating the Quantum Cramér-Rao Bound
- Metrology and multipartite entanglement in measurement-induced phase transition
- Spectral determinant of the two-photon quantum Rabi model
- Unique Steady-State Squeezing in a Driven Quantum Rabi Model
- Probing the symmetry breaking of a light--matter system by an ancillary qubit
- Driven Multiphoton Qubit-Resonator Interactions
- Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
- Non-Gaussian superradiant transition via three-body ultrastrong coupling
- From quantum Rabi model to Jaynes-Cummings model: symmetry-breaking quantum phase transitions, topological phase transitions and multicriticalities
- Robust topological feature against non-Hermiticity in Jaynes-Cummings Model
- Nodes and Spin Windings for Topological Transitions in Light-Matter Interactions: \\ Anisotropic Quantum Rabi Model as a Born Abstract Artist
- Scaling Relations and Topological Quadruple Points in Light-matter Interactions with Anisotropy and Nonlinear Stark Coupling
- Quantum Thermometry with a Dissipative Quantum Rabi System
- Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models
- Spin Winding and Topological Nature of Transitions in Jaynes-Cummings Model with Stark Non-linear Coupling
- Spectral continuum in the Rabi-Stark model
- Quantum Fisher information and polaron picture for identification of transition coupling in quantum Rabi model
- Thermodynamic Limit in the Two-qubit Quantum Rabi Model with Spin-Spin Coupling
- Critical spectrum of the anisotropic two-photon quantum Rabi model
- Quantum Geometric Tensor and Critical Metrology in the Anisotropic Dicke Model
- Combining Squeezing and Transition Sensitivity Resources for Quantum Metrology by Asymmetric Non-Linear Rabi model
- Critical quantum geometric tensors of parametrically-driven nonlinear resonators
Cited by in corpus (6)
- Globalized Nonlinear Critical Quantum Metrology by Two-photon Rabi-Stark model
- Upgrading Quantum Metrology by Combined Sensitivity Resources in Mixed Linear-Nonlinear Light-Matter Interactions with Bias Field
- Critical Spectrum and Quantum Criticality in the Two-Photon Rabi-Stark Model
- Loss of integrability in a system with two-photon interactions
- Phonon-induced two-axis spin squeezing with decoherence reduction in hybrid spin-optomechanical system
- A Kaleidoscope of Topological Structures in Dipolar Bose-Einstein Condensates with Weyl-Like Spin-Orbit Coupling in Anharmonic Trap