Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models

Abstract

Light-matter interactions provide an ideal testground for interplay of critical phenomena, topological transitions, quantum metrology and non-Hermitian physics. We consider two fundamental non-Hermitian Jaynes-Cummings models which possess real energy spectra in parity-time (PT) symmetry and anti-PT symmetry. We show that the quantum Fisher information is critical around the transitions at the exceptional points and exhibits a super universality with respect to different parameters, all energy levels, both models, symmetric phases and symmetry-broken phases. The transitions are found to be both symmetry-breaking Landau-class transitions (LCTs) and symmetry-protected topological-class of transitions (TCTs), thus realizing a simultaneous occurrence of critical LCTs and TCTs which are conventionally incompatible due to contrary symmetry requirements.

arXiv comment7 pages, 3 figures, 1 table

References in corpus (125)

• Topological Insulators
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Making Sense of Non-Hermitian Hamiltonians
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Edge states and topological invariants of non-Hermitian systems
• A spin-orbit coupled Bose-Einstein condensate
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• 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
• Non-Bloch Band Theory of Non-Hermitian Systems
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Spin-orbit coupling in quantum gases
• Zoo of quantum-topological phases of matter
• 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
• 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
• Metrology with $\mathcal{P}\mathcal{T}$-symmetric cavities: Enhanced sensitivity near the $\mathcal{P}\mathcal{T}$-phase transition
• Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
• Quantum tri-criticality and phase transitions in spin-orbit coupled Bose-Einstein condensates
• Quantum information processing with superconducting qubits in a microwave field
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• Photon Blockade in the Ultrastrong Coupling Regime
• Non-Hermitian Ring Laser Gyroscopes with Enhanced Sagnac Sensitivity
• Exponentially-Enhanced Light-Matter Interaction, Cooperativities, and Steady-State Entanglement Using Parametric Amplification
• Exact solvability of the quantum Rabi models within Bogoliubov operators
• Critical Quantum metrology with a finite-component quantum phase transition
• Terahertz light-matter interaction beyond unity coupling strength
• Exact Mapping of the 2+1 Dirac Oscillator onto the Jaynes-Cummings Model: Ion-Trap Experimental Proposal
• Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
• The quantum Rabi model: solution and dynamics
• Dynamic framework for criticality-enhanced quantum sensing
• Superradiance transition in a system with a single qubit and a single oscillator
• Switchable ultrastrong coupling in circuit QED
• 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
• First order character and observable signatures of topological quantum phase transitions
• Some remarks on 'superradiant' phase transitions in light-matter systems
• Two-photon Rabi model: Analytic solutions and spectral collapse
• Theoretical methods for ultrastrong light-matter interactions
• Cavity QED simulation of qubit-oscillator dynamics in the ultrastrong coupling regime
• Topological quantum phase transitions retrieved through unsupervised machine learning
• Dissipation-induced nonreciprocal magnon blockade in a magnon-based hybrid system
• 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
• Integrability vs exact solvability in the quantum Rabi and Dicke models
• Analytical solutions for the Rabi model
• Electronic materials with nanoscale curved geometries
• Fate of photon blockade in the deep strong coupling regime
• Ground-state phase diagram of the quantum Rabi model
• Fast two-bit operations in inductively coupled flux qubits
• 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
• Exact real-time dynamics of the quantum Rabi model
• Super-correlated radiance in nonlinear photonic waveguides
• Stabilizing Spin Coherence Through Environmental Entanglement in Strongly Dissipative Quantum Systems
• Single-Photon-Triggered Quantum Phase Transition
• Universality classes of topological phase transitions with higher-order band crossing
• 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
• Designing Electron Spin Textures and Spin Interferometers by Shape Deformations
• Finite-system Multicriticality at the Superradiant Quantum Phase Transition
• Observation of the Bloch-Siegert shift in a driven quantum-to-classical transition
• Connecting nth order generalised quantum Rabi models: Emergence of nonlinear spin-boson coupling via spin rotations
• Selective Interactions in the Quantum Rabi Model
• Spectral Collapse in the two-photon quantum Rabi model
• Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model
• Understanding the quantum Rabi ring using analogies to quantum magnetism
• Generalized squeezing rotating-wave approximation to the isotropic and anisotropic Rabi model in the ultrastrong-coupling regime
• The hidden symmetry of the asymmetric quantum Rabi model
• Ultrastrong Jaynes-Cummings Model
• Tuning Pairing Amplitude and Spin-Triplet Texture by Curving Superconducting Nanostructures
• Switchable Superradiant Phase Transition with Kerr Magnons
• Hidden symmetry and tunnelling dynamics in asymmetric quantum Rabi models
• Exponential precision by reaching a quantum critical point
• Magnon-Skyrmion Hybrid Quantum Systems: Tailoring Interactions via Magnons
• Oscillator tunneling dynamics in the Rabi model
• Frequency-renormalized multipolaron expansion for the quantum Rabi model
• 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
• Remarks on the hidden symmetry of the asymmetric quantum Rabi model
• Multiphoton resonance and chiral transport in the generalized Rabi model
• Analog of the spin-orbit induced anomalous Hall effect with quantized radiation
• Defining the semiclassical limit of the quantum Rabi Hamiltonian
• Waveguide QED with Quadratic Light-Matter Interactions
• Quantum metrology in the noisy intermediate-scale quantum era
• Quantum phase transition of the Jaynes-Cummings model
• Evolution of Berry curvature and reentrant quantum anomalous Hall effect in an intrinsic magnetic topological insulator
• Exactly Solvable Points and Symmetry-Protected Topological Phases of Quantum Spins on a Zig-Zag Lattice
• Geometric driving of two-level quantum systems
• Simulating Anisotropic quantum Rabi model via frequency modulation
• Entanglement resonance in the asymmetric quantum Rabi model
• Mean photon number dependent variational method to the Rabi model
• Hidden Single-Qubit Topological Phase Transition without Gap Closing in Anisotropic Light-Matter Interactions
• Parity breaking and scaling behavior in light-matter interaction
• Generalized adiabatic approximation to the asymmetric quantum Rabi model: conical intersections and geometric phases
• 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
• 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
• Spin Winding and Topological Nature of Transitions in Jaynes-Cummings Model with Stark Non-linear Coupling
• Quantum topology in the ultrastrong coupling regime

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