Non-Hermitian Topological Sensors

Abstract

We introduce and study a novel class of sensors whose sensitivity grows exponentially with the size of the device. Remarkably, this drastic enhancement does not rely on any fine-tuning, but is found to be a stable phenomenon immune to local perturbations. Specifically, the physical mechanism behind this striking phenomenon is intimately connected to the anomalous sensitivity to boundary conditions observed in non-Hermitian topological systems. We outline concrete platforms for the practical implementation of these non-Hermitian topological sensors (NTOS) ranging from classical meta-materials to synthetic quantum-materials.

Including Supplementary Material

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Chiral Quantum Optics
• The physics of exceptional points
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Detecting single viruses and nanoparticles using whispering gallery microlasers
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Topological properties of linear circuit lattices
• Chirality of wave functions for three coalescing levels
• Phase Transitions and Generalized Biorthogonal Polarization in Non-Hermitian Systems

Cited by in corpus (174)

• Non-Hermitian Physics
• Non-Hermitian topological phenomena: A review
• Higher-order non-Hermitian skin effect
• Topological Non-Hermitian skin effect
• Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
• Transient non-Hermitian skin effect
• Non-Hermitian Edge Burst
• Impurity induced scale-free localization
• Quantum Non-Hermitian Topological Sensors
• Chirality as Generalized Spin-Orbit Interaction in Spintronics
• Non-equilibrium stationary states of quantum non-Hermitian lattice models
• Entanglement-enhanced quantum metrology: from standard quantum limit to Heisenberg limit
• Many-Body Topological and Skin States without Open Boundaries
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Liouvillian Skin Effect in an Exactly Solvable Model
• Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity
• Anomalous Floquet non-Hermitian skin effect in a ring resonator lattice
• Exceptional Spin Liquids from Couplings to the Environment
• Magnetic suppression of non-Hermitian skin effects
• Topology by Dissipation: Majorana Bosons in Metastable Quadratic Markovian Dynamics
• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Fundamental Sensitivity Limits for non-Hermitian Quantum Sensors
• Non-Hermitian Pseudo-Gaps
• Optomechanical realization of the bosonic Kitaev-Majorana chain
• Exact solution of single impurity problem in non-reciprocal lattices: impurity induced size-dependent non-Hermitian skin effect
• Eigenvalue topology of non-Hermitian band structures in two and three dimensions
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Non-Hermitian skin effect as an impurity problem
• Topological photonics: fundamental concepts, recent developments, and future directions
• Geometric Origin of Non-Bloch PT Symmetry Breaking
• Non-Hermitian skin effect of dislocations and its topological origin
• Topological thermal transport
• Chiral quantum optics: recent developments, and future directions
• Observation of non-Hermitian topology in a multi-terminal quantum Hall device
• Phase Transitions and Generalized Biorthogonal Polarization in Non-Hermitian Systems
• Free-Fermionic Topological Quantum Sensors
• Zoology of non-Hermitian spectra and their graph topology
• Sensitivity of non-Hermitian systems
• Topological origin of non-Hermitian skin effect in higher dimensions and uniform spectra
• Bulk-Bulk Correspondence in Disordered Non-Hermitian Systems
• Stabilizing multiple topological fermions on a quantum computer
• Scale-tailored localization and its observation in non-Hermitian electrical circuits
• Exceptional odd-frequency pairing in non-Hermitian superconducting systems
• Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Non-Hermitian sensing in the absence of exceptional points
• Petermann factors and phase rigidities near exceptional points
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Ultra-sensitive integrated circuit sensors based on high-order nonHermitian topological physics
• Non-Hermitian topology of one-dimensional spin-torque oscillator arrays
• Multiparameter critical quantum metrology with impurity probes
• $\mathcal{P}\mathcal{T}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Hybrid higher-order skin-topological effect in hyperbolic lattices
• Non-Hermitian boundary spectral winding
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
• Stark localization as a resource for weak-field sensing with super-Heisenberg precision
• Non-Hermitian pseudo mobility edge in a coupled chain system
• Exponentially-enhanced Quantum Non-Hermitian Sensing via Optimized Coherent Drive
• Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing
• Non-Hermitian skin effect edge
• Quantum battery with non-Hermitian charging
• Experimental observation of exceptional bound states in a classical circuit network
• Topological enhancement of non-normality in non-Hermitian skin effects
• Bridging the gap between topological non-Hermitian physics and open quantum systems
• Giant Emitters in a Structured Bath with Non-Hermitian Skin Effect
• Exact analogue of the Hatano-Nelson model in 1D continuous nonreciprocal systems
• Non-Hermitian phase-biased Josephson junctions
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Modular Many-Body Quantum Sensors
• Universal scalefree non-Hermitian skin effect near the Bloch point
• The non-Hermitian skin effect: A perspective
• Enhanced eigenvector sensitivity and algebraic classification of sublattice-symmetric exceptional points
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Dissipative Boundary State Preparation
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Current Trends in Global Quantum Metrology
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Insensitive edge solitons in a non-Hermitian topological lattice
• Critical non-Hermitian topology induced quantum sensing
• Localized states and skin effect around non-Hermitian impurities in tight-binding models
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• Filling up complex spectral regions through non-Hermitian disordered chains
• Quantum Optical Binding of Nanoscale Particles
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Exponential sensitivity revival of noisy non-Hermitian quantum sensing with two-photon drives
• Non-Hermitian extended midgap states and bound states in the continuum
• Non-Hermitian second-order topological superconductors
• Non-Hermitian topological ohmmeter
• Observation of squeezed Chern insulator in an acoustic fractal lattice
• Long-range interacting Stark many-body probes with Super-Heisenberg precision
• Real Non-Hermitian Energy Spectra Without Any Symmetry
• Topological plasma transport from a diffusion view
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• Engineering topological states and quantum-inspired information processing using classical circuits
• Driven-dissipative topological phases in parametric resonator arrays
• Exponentially Enhanced non-Hermitian Cooling
• Exponentially-enhanced quantum sensing with many-body phase transitions
• Nonreciprocal Amplification Transition in a Driven-Dissipative Quantum Network
• Pseudomagnetic suppression of non-Hermitian skin effect
• Quantized Hall drift in a frequency-encoded photonic Chern insulator
• Observables in non-Hermitian systems: A methodological comparison
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Observation of non-local impedance response in a passive electrical circuit
• Uniform response theory of non-Hermitian systems: Non-Hermitian physics beyond the exceptional point
• Non-Markovian skin effect
• Exceptional Non-Hermitian Phases in Disordered Quantum Wires
• Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit
• Nonlinearity-enhanced quantum sensing in Stark probes
• Mesoscopic transport signatures of disorder-induced non-Hermitian phases
• Simulating Floquet topological phases in static systems
• Exceptional points and exponential sensitivity for periodically driven Lindblad equations
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals
• Observing Parity Time Symmetry Breaking in a Josephson Parametric Amplifier
• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Switching between topological edge states in plasmonic systems using phase-change materials
• Non-Hermitian Quantum Fractals
• Transmission across non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric quantum dots and ladders
• Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
• Geometric contribution to adiabatic amplification in non-Hermitian systems
• Coexistence of non-Hermitian skin effect and extended states in one-dimensional nonreciprocal lattices
• Unveiling Eigenstate Thermalization for Non-Hermitian systems
• Anisotropic-scaling localization in higher-dimensional non-Hermitian systems
• Observation of non-Hermitian many-body skin effects in Hilbert space
• Multicritical quantum sensors driven by symmetry-breaking
• Generalized Petermann factor of non-Hermitian systems at exceptional points
• Quantum Sensing with Driven-Dissipative Su-Schrieffer-Heeger Lattices
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• Anomalous hybridization of spectral winding topology in quantized steady-state responses
• Impurity-induced counter skin-effect and linear modes in non-Hermitian systems
• Spontaneous Formation of Exceptional Points at the Onset of Magnetism
• Emergent non-Hermitian physics in generalized Lotka-Volterra model
• Super-enhanced Sensitivity in Non-Hermitian Systems at Infernal Points
• Many-body critical non-Hermitian skin effect
• Enhancement of signal-to-noise ratio at a high-order exceptional point of coherent perfect absorption
• Space-time symmetry and nonreciprocal parametric resonance in mechanical systems
• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
• Manipulating Spectral Windings and Skin Modes through Nonconservative Couplings
• Tentaclelike spectra and bound states in Hatano-Nelson chain with long-range impurity coupling
• Renormalization approach to the analysis and design of Hermitian and non-Hermitian interfaces
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Phase transitions in non-Hermitian superlattices
• Hermitian and non-Hermitian topology in active matter
• Quantum Enhanced Sensitivity through Many-Body Bloch Oscillations
• Random non-Hermitian action theory for stochastic quantum dynamics: from canonical to path integral quantization
• Dissipative frequency converter: from Lindblad dynamics to non-Hermitian topology
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping
• Experimental observation of energy-band Riemann surface
• Imaginary coupling induced Dirac points and group velocity control in non-reciprocal Hermitian Lattice
• Concurrent Skin-scale-free Localization and Criticality under Möbius Boundary Conditions in a Non-Hermitian Ladder
• Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features
• Non-hermitian topology and entanglement in an optomechanical superlattice
• Random non-Hermitian Hamiltonian framework for symmetry breaking dynamics
• Uncovering Exceptional Contours in non-Hermitian Hyperbolic Matter
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Scaling of pseudospectra in exponentially sensitive lattices
• Non-Hermitian topology of transport in the quantum Hall phases in graphene
• Topological Amplification of the Bosonic Kitaev Chain with Non-Uniform Loss
• Noisy Stark probes as quantum-enhanced sensors
• Gaussian eigenstate pinning in non-Hermitian quantum mechanics
• Adiabatic charge transport through non-Bloch bands
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Liouvillian topology and nonreciprocal dynamics in open Floquet chains
• Exceptional Luttinger Liquids from sublattice dependent interaction
• Reversing non-Hermitian skin accumulation with a non-local transverse switch
• Application of Jordan Decomposition to Non-Hermitian Lattice Models with Spectrally-Isolated Lower Dimensional States
• Correspondence between non-Hermitian topology and directional amplification in the presence of disorder
• Illuminating the bulk-boundary correspondence of a non-Hermitian stub lattice with Majorana stars