Globalized Nonlinear Critical Quantum Metrology by Two-photon Rabi-Stark model
arXiv:2506.03379 · doi:10.1103/wnvk-lq8x
Abstract
Squeezing as a quantum resource for quantum metrology is robust against decoherence and dissipation, while the conventional nonlinear two-photon quantum Rabi model (QRM) provides a squeezing resource immune to the divergence problem of preparation time of probe state (PTPS). However the critical point of the two-photon QRM is locally restricted to one single point, which hinders a wider application. In the present work we propose to combine the Stark coupling with the two-photon QRM to realize a tunable critical point so that the nonlinear critical quantum metrology can be globalized. As demonstrated by the diverging quantum Fisher information (QFI) the protocol enables us to acquire a high measurement precision in a wide range of coupling parameter rather than locally at a single critical point. Moreover, We find that the QFI not only manifests criticality but also exhibits universality. As a particular merit of our protocol, a strong squeezing can be globally retained as the leading quantum resource, while at the same time the PTPS remains in a finite order.
10 pages, 8 figures
References in corpus (77)
- Quantum entanglement
- Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
- Ultrastrong coupling between light and matter
- Ultrastrong coupling regimes of light-matter interaction
- On the Integrability of the Rabi Model
- Ground state overlap and quantum phase transitions
- 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
- Fidelity approach to quantum phase transitions
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Quantum speed limit for physical processes
- Quantum Phase Transition and Universal Dynamics in the Rabi model
- Exponentially-Enhanced Light-Matter Interaction, Cooperativities, and Steady-State Entanglement Using Parametric Amplification
- Low-decoherence flux qubit
- Critical Quantum metrology with a finite-component quantum phase transition
- Terahertz light-matter interaction beyond unity coupling strength
- Dynamic framework for criticality-enhanced quantum sensing
- Superradiance transition in a system with a single qubit and a single oscillator
- 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
- At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
- Anisotropic Rabi model
- High coherence hybrid superconducting qubit
- Some remarks on 'superradiant' phase transitions in light-matter systems
- Two-photon Rabi model: Analytic solutions and spectral collapse
- Quantum amplification and simulation of strong and ultrastrong coupling of light and matter
- 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
- Global sensing and its impact for quantum many-body probes with criticality
- A generalization of the quantum Rabi model: exact solution and spectral structure
- Ground-state phase diagram of the quantum Rabi model
- Squeezing Microwaves by Magnetostriction
- Polaron picture of the two-photon quantum Rabi model
- Combining critical and quantum metrology
- 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
- Quantum probes for the characterization of nonlinear media
- Selective Interactions in the Quantum Rabi Model
- Spectral Collapse in the two-photon quantum Rabi model
- Understanding the quantum Rabi ring using analogies to quantum magnetism
- Squeezing by Critical Speeding-up: Applications in Quantum Metrology
- Generalized fidelity susceptibility at phase transitions
- Multiparameter critical quantum metrology with impurity probes
- Strong antibunching in a generalized Rabi model
- Approaching Heisenberg-scalable thermometry with built-in robustness against noise
- Exponential precision by reaching a quantum critical point
- Magnon-Skyrmion Hybrid Quantum Systems: Tailoring Interactions via Magnons
- Squeezing metrology: a unified framework
- Symmetry breaking patterns, tricriticalities and quadruple points in quantum Rabi model with bias and nonlinear interaction
- Quantum phase transitions for an integrable quantum Rabi-like model with two interacting qubits
- Optimality and Noise-Resilience of Critical Quantum Sensing
- Quantum phase transition of the Jaynes-Cummings model
- Modular Many-Body Quantum Sensors
- Squeezing and overcoming the Heisenberg scaling with spin-orbit coupled quantum gases
- Hidden Single-Qubit Topological Phase Transition without Gap Closing in Anisotropic Light-Matter Interactions
- Unique Steady-State Squeezing in a Driven Quantum Rabi Model
- Probing the symmetry breaking of a light--matter system by an ancillary qubit
- Two-photon Rabi-Stark model
- Scaling Relations and Topological Quadruple Points in Light-matter Interactions with Anisotropy and Nonlinear Stark Coupling
- From quantum Rabi model to Jaynes-Cummings model: symmetry-breaking quantum phase transitions, topological phase transitions and multicriticalities
- Nodes and Spin Windings for Topological Transitions in Light-Matter Interactions: \\ Anisotropic Quantum Rabi Model as a Born Abstract Artist
- Robust topological feature against non-Hermiticity in Jaynes-Cummings Model
- 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
- Critical quantum metrology in a stabilized two-photon Rabi 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
- Combining Squeezing and Transition Sensitivity Resources for Quantum Metrology by Asymmetric Non-Linear Rabi model
- Stark-induced tunable phase transition in the two-photon Dicke-Stark model
- Quantum criticality driven by the cavity coupling in Rabi-dimer model
- Upgrading Quantum Metrology by Combined Sensitivity Resources in Mixed Linear-Nonlinear Light-Matter Interactions with Bias Field