Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state

Abstract

Utilizing an electronic Fabry-Perot interferometer in which Coulomb charging effects are suppressed, we report experimental observation of anyonic braiding statistics for the $\nu =1/3$ fractional quantum Hall state. Strong Aharonov-Bohm interference of the $\nu =1/3$ edge mode is punctuated by discrete phase slips consistent with an anyonic phase of ${\theta }_{anyon}=\frac{2\pi }{3}$. Our results are consistent with a recent theory of a Fabry-Perot interferometer operated in a regime in which device charging energy is small compared to the energy of formation of charged quasiparticles. Close correspondence between device operation and theoretical predictions substantiates our claim of observation of anyonic braiding.

9 pages, 4 figures

References in corpus (44)

• Non-Abelian Anyons and Topological Quantum Computation
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• Fractional statistics in anyon collisions
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
• Measurement of filling factor 5/2 quasiparticle interference: observation of charge e/4 and e/2 period oscillations
• Observation of neutral modes in the fractional quantum Hall regime
• Distinct Signatures For Coulomb Blockade and Aharonov-Bohm Interference in Electronic Fabry-Perot Interferometers
• Theory of the Fabry-Perot Quantum Hall Interferometer
• The Role of Interactions in an Electronic Fabry-Perot Interferometer Operating in the Quantum Hall Effect Regime
• Magnetic field-tuned Aharonov-Bohm oscillations and evidence for non-Abelian anyons at v=5/2
• Influence of Interactions on Flux and Back-gate Period of Quantum Hall Interferometers
• Aharonov-Bohm interference of fractional quantum Hall edge modes
• The non-Abelian Interferometer
• Edge-State Velocity and Coherence in a Quantum Hall Fabry-Perot Interferometer
• Fabry-Perot Interferometry with Fractional Charges
• Proliferation of neutral modes in fractional quantum Hall states
• A New Paradigm for Edge Reconstruction in Fractional Quantum Hall States
• Edge Channel Interference Controlled by Landau Level Filling
• Melting of interference in the fractional quantum Hall effect: Appearance of neutral modes
• Modified MBE hardware and techniques and role of gallium purity for attainment of two dimensional electron gas mobility >35 x10^6 cm^2/Vs in AlGaAs/GaAs quantum wells grown by MBE
• Fractional statistics in the fractional quantum Hall effect
• Robust Electron Pairing in the Integer Quantum Hall Effect Regime
• Charge and Statistics of Quantum Hall Quasi-Particles. A numerical study of mean values and fluctuations
• Edge-mode velocities and thermal coherence of quantum Hall interferometers
• Telegraph noise and the Fabry-Perot quantum Hall interferometer
• Interference, Coulomb blockade, and the identification of non-abelian quantum Hall states
• Macroscopic electron quantum coherence in a solid-state circuit
• Observation of Interaction-Induced Modulations of a Quantum Hall Liquid's Area
• Berry phases for composite fermions: effective magnetic field and fractional statistics
• Suppression of interference in quantum Hall Mach-Zehnder geometry by upstream neutral modes
• Aharanov-Bohm interference and fractional statistics in a quantum Hall interferometer
• Electron interferometry in quantum Hall regime: Aharonov-Bohm effect of interacting electrons
• Braiding of Abelian and Non-Abelian Anyons in the Fractional Quantum Hall Effect
• Enhanced bulk-edge Coulomb coupling in Fractional Fabry-Perot interferometers
• Dephasing of an Electronic Two-Path Interferometer
• Flux superperiods and periodicity transitions in quantum Hall interferometers
• Theory of fractional quantum Hall interferometers
• Experimental realization of a Fabry-Perot-type interferometer by co-propagating edge states in the quantum Hall regime
• Interference measurements of non-Abelian e/4 & Abelian e/2 quasiparticle braiding
• Observation of quantum Hall interferometer phase jumps due to changing quasiparticle number
• Topological dephasing in the $\nu =2/3$ fractional Quantum Hall Regime
• Optimization of edge state velocity in the integer quantum Hall regime

Cited by in corpus (267)

• Observation of Fractionally Quantized Anomalous Hall Effect
• InAs-Al Hybrid Devices Passing the Topological Gap Protocol
• Quantum phases of Rydberg atoms on a kagome lattice
• Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor
• Non-Abelian braiding on photonic chips
• Nanomaterials for Quantum Information Science and Engineering
• Fractional charge and fractional statistics in the quantum Hall effects
• Hunting for Majoranas
• Aharonov Bohm Effect in Graphene Fabry Pérot Quantum Hall Interferometers
• A tunable Fabry-Pérot quantum Hall interferometer in graphene
• Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene
• Physics of the Inverted Harmonic Oscillator: From the lowest Landau level to event horizons
• In and around Abelian anyon models
• Local probe of bulk and edge states in a fractional Chern insulator
• Chiral central charge from a single bulk wave function
• Methods for simulating string-net states and anyons on a digital quantum computer
• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• Anyonic interference and braiding phase in a Mach-Zehnder Interferometer
• Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers
• Partition function of the Levin-Wen model
• Anyons in Quantum Hall Interferometry
• ${\mathbb{Z}}_2$ lattice gauge theories and Kitaev's toric code: A scheme for analog quantum simulation
• A proposal to demonstrate non-abelian anyons on a NISQ device
• Partitioning of Diluted Anyons Reveals their Braiding Statistics
• Fractionalization and anyonic statistics in the integer quantum Hall collider
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• Non-Abelian Anyon Collider
• High-Temperature Quantum Valley Hall Effect with Quantized Resistance and a Topological Switch
• Quantum Field Theory Anomalies in Condensed Matter Physics
• Complex networks with complex weights
• Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard Model
• Fault-tolerant qubit from a constant number of components
• Anyon braiding and telegraph noise in a graphene interferometer
• Andreev reflection of fractional quantum Hall quasiparticles
• Abelian topological order of $\nu =2/5$ and $3/7$ fractional quantum Hall states in lattice models
• Fractional quantum Hall effect energy gap: role of electron layer thickness
• Nanoscale electrostatic control in ultra clean van der Waals heterostructures by local anodic oxidation of graphite gates
• Upstream modes and antidots poison graphene quantum Hall effect
• Probing Geometric Excitations of Fractional Quantum Hall States on Quantum Computers
• Ground state stability, symmetry, and degeneracy in Mott insulators with long range interactions
• Robustness of quantum Hall interferometry
• Controlling a quantum point junction on the surface of an antiferromagnetic topological insulator
• Controlling the entropy of a single-molecule junction
• Emission and Coherent Control of Levitons in Graphene
• Halperin States of Particles and Holes in Ideal Time Reversal Invariant Pairs of Chern Bands and The Fractional Quantum Spin Hall Effect in Moiré MoTe${}_2$
• Topological Exchange Statistics in One Dimension
• Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
• Progress in superconductor-semiconductor topological Josephson junctions
• Does delta-$T$ noise probe quantum statistics?
• High-Resolution Tunneling Spectroscopy of Fractional Quantum Hall States
• Tracing non-Abelian anyons via impurity particles
• Half-integer conductance plateau at the $\nu =2/3$ fractional quantum Hall state in a quantum point contact
• Quantized charge fractionalization at quantum Hall Y junctions in the disorder-dominated regime
• Signatures of fractional statistics in nonlinear pump-probe spectroscopy
• A Quantum Impurity Model for Anyons
• Strongly coupled edge states in a graphene quantum Hall interferometer
• Thermal anyon interferometry in phonon-coupled Kitaev spin liquids
• Analytic exposition of the graviton modes in fractional quantum Hall effects and its physical implications
• Two-particle time-domain interferometry in the Fractional Quantum Hall Effect regime
• Graphene-based quantum Hall interferometer with self-aligned side gates
• Unsupervised Learning of Topological Non-Abelian Braiding in Non-Hermitian Bands
• Mechanically-reconfigurable van der Waals devices via low-friction gold sliding
• Emergent particles and gauge fields in quantum matter
• Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
• Absence of edge reconstruction for quantum Hall edge channels in graphene devices
• Competing topological orders in three dimensions: X-cube versus toric code
• Expanding Edges of Quantum Hall Systems in a Cosmology Language -- Hawking Radiation from de Sitter Horizon in Edge Modes
• Observation of the scaling dimension of fractional quantum Hall anyons
• Thermal interferometry of anyons in spin liquids
• Aharonov-Bohm oscillations in bilayer graphene edge state Fabry-Pérot interferometers
• Aharonov-Bohm interference and the evolution of phase jumps in fractional quantum Hall Fabry-Perot interferometers based on bi-layer graphene
• Anyon statistics through conductance measurements of time-domain interferometry
• Linear and nonlinear edge dynamics of trapped fractional quantum Hall droplets
• Low-complexity eigenstates of a $\nu =1/3$ fractional quantum Hall system
• Fractional Coulomb blockade for quasiparticle tunneling between edge channels
• Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases
• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• Probing quantum phases in ultra-high-mobility two-dimensional electron systems using surface acoustic waves
• From anyons to Majoranas
• Anyonic Defect Branes and Conformal Blocks in Twisted Equivariant Differential (TED) K-theory
• Aharonov-Bohm Effect in Three-dimensional Higher-order Topological Insulator
• Local density of states and particle entanglement in topological quantum fluids
• Topological contextuality and anyonic statistics of photonic-encoded parafermions
• Kohn-Sham Density Functional Theory of Abelian Anyons
• Electric circuit emulation of topological transitions driven by quantum statistics
• Operator spectrum of nonrelativistic CFTs at large charge
• Delta-T noise for fractional quantum Hall states at different filling factor
• Theory of fractional quantum Hall liquids coupled to quantum light and emergent graviton-polaritons
• Growing Extended Laughlin States in a Quantum Gas Microscope: A Patchwork Construction
• Spin-statistics relation and the Abelian braiding phase for anyons in fractional quantum Hall effect
• Fingerprints of Composite Fermion Lambda Levels in Scanning Tunneling Microscopy
• Minimal Fractional Topological Insulator in half-filled conjugate moiré Chern bands
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Ultrashort electron wavepackets via frequency-comb synthesis
• Translation symmetry-enriched toric code insulator
• Signatures of Supersymmetry in the $\nu =5/2$ Fractional Quantum Hall Effect
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Thermal interferometry of anyons
• Electron Pairing of Interfering Interface-Based Edge Modes
• Statistical interactions and boson-anyon duality in fractional quantum Hall fluids
• Anyonic Mach-Zehnder interferometer on a single edge of a 2D electron gas
• Finite width of anyons changes their braiding signature
• Time-resolved investigation of plasmon mode along interface channels in integer and fractional quantum Hall regimes
• Quantum statistics transmutation via magnetic flux attachment
• Finite Soliton Width Matters: Investigating Non-equilibrium Exchange Phases of Anyons
• Anomalous periodicity and parafermion hybridization in superconducting qubits
• Current cross-correlations in a quantum Hall collider at filling factor two
• Quantum teleportation using Ising anyons
• Quantum Hall interferometry in triangular domains of marginally twisted bilayer graphene
• Adiabatic Construction of Hierarchical Quantum Hall States
• Measuring Topological Order
• Shot noise in resonant tunneling: Role of inelastic scattering
• How do edge states position themselves in a quantum Hall graphene pn junction?
• Measuring statistics-induced entanglement entropy with a Hong-Ou-Mandel interferometer
• Anyonic braiding via quench dynamics in fractional quantum Hall liquids
• Molecular anyons in fractional quantum Hall effect
• Quantum dots as parafermion detectors
• Schrödinger operators with multiple Aharonov-Bohm fluxes
• Anomalous quantized plateaus in two-dimensional electron gas with gate confinement
• Mutual information and correlations across topological phase transitions in topologically ordered graphene zigzag nanoribbons
• Direct measurement of particle statistical phase
• Developing fractional quantum Hall states at even-denominator fillings 1/6 and 1/8
• Gate tunable edge magnetoplasmon resonators
• Extracting unconventional spin texture in two dimensional topological crystalline insulator bismuthene via tuning bulk-edge interactions
• Dissipation and dephasing in quantum Hall interferometers
• Localization and conductance in fractional quantum Hall edges
• Anomalous thermal relaxation and pump-probe spectroscopy of 2D topologically ordered systems
• Quantum walk of two anyons across a statistical boundary
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe${}_2$
• Electron-pairing in the quantum Hall regime due to neutralon exchange
• New disordered anyon phase of doped graphene zigzag nanoribbon
• Anomalous Aharonov-Bohm Interference in the Presence of Edge Reconstruction
• Semiclassical limit for almost fermionic anyons
• Dynamics of parafermionic states in transport measurements
• Magnon-mediated topological superconductivity in a quantum wire
• Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe${}_2$
• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• The Monte Carlo simulation of the topological quantities in FQH systems
• Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice
• Static structure factor and the dispersion of the Girvin-MacDonald-Platzman density mode for fractional quantum Hall fluids on the Haldane sphere
• Topological and nontopological degeneracies in generalized string-net models
• A composite particle construction of the Fibonacci fractional quantum Hall state
• Probing fractional statistics in quantum simulators of spin liquid Hamiltonians
• Ternary Logic Design in Topological Quantum Computing
• Properties of 2D anyon gas
• Kitaev model in regular hyperbolic tilings
• ${\mathbb{Z}}_3$ quantum double in a superconducting wire array
• Tunable tunnel coupling in a double quantum antidot with cotunneling via localized state
• Transport Signatures of Fractional Quantum Hall Binding Transitions
• Parafermions in Moiré Minibands
• Competing Many-Body Phases at Small Fillings in Ultrahigh-Quality GaAs 2D Hole Systems: Role of Landau Level Mixing
• Even-denominator fractional quantum Hall state in conventional triple-gated quantum point contact
• Edge Theories for Anyon Condensation Phase Transitions
• Very high-energy collective states of partons in fractional quantum Hall liquids
• Detection of anyon braiding through pump-probe spectroscopy
• Chiral Virasoro algebra from a single wavefunction
• Anyons on M5-Probes of Seifert 3-Orbifolds via Flux Quantization
• Observation of Electronic Modes in Open Cavity Resonator
• Braiding fractional quantum Hall quasiholes on a superconducting quantum processor
• Non-Abelian chiral spin liquid on spin-1 kagome lattice: truncation of an exact Hamiltonian and numerical optimization
• Aharonov-Bohm Interference in Even-Denominator Fractional Quantum Hall States
• Domain Textures in the Fractional Quantum Hall Effect
• Landscapes of an out-of-equilibrium anyonic sea
• Temperature dependent equilibration of spin orthogonal quantum Hall edge modes
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Anyon braiding on the single edge of a fractional quantum Hall state
• Vortex precession and exchange in a Bose-Einstein condensate
• Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension
• Disorder-induced topological superconductivity in a spherical quantum-Hall--superconductor hybrid
• Charge-conserving equilibration of quantum Hall edge states
• Numerical demonstration of Abelian fractional statistics of composite fermions in the spherical geometry
• Quantum Hall interferometry at finite bias with multiple edge channels
• Finite-temperature properties of string-net models
• Creation and manipulation of surface code defects with quantum optimal control
• Probing the dichotomy between Yu-Shiba-Rusinov and Majorana bound states via conductance, quantum noise and ${\Delta }_T$ noise
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Dynamical abelian anyons with bound states and scattering states
• Field Theoretic Aspects of Condensed Matter Physics: An Overview
• Evidence of Coulomb liquid phase in few-electron droplets
• Topological Chiral Edge States in a Synthetic Dimension of Atomic Trap States
• Diagnosing electronic phases of matter using photonic correlation functions
• Half-mirror for electrons on quantum Hall copropagating edge channels
• Quasinormal modes of anyons
• Andreev-like Reflection in the Pfaffian Fractional Quantum Hall Effect
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• Probing Green's Function Zeros by Co-tunneling through Mott Insulators
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Quantum transport phenomena induced by time-dependent fields
• Holonomic quantum manipulation in the Weyl Disk
• Evolution of the Chern Gap in Chern Magnet HoMn${}_6$Sn${}_{6-x}$Ge${}_x$
• Gauge-Invariant Variables Reveal the Quantum Geometry of Fractional Quantum Hall States
• Evidence for Topological Protection Derived from Six-Flux Composite Fermions
• Exchange and exclusion in the non-abelian anyon gas
• Modified interferometer to measure anyonic braiding statistics
• Ordering the topological order in the fractional quantum Hall effect
• Engineering of Anyons on M5-Probes via Flux Quantization
• Bulk density signatures of a lattice quasihole with very few particles
• Integrability of the $\nu =4/3$ fractional quantum Hall edge states
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Optimized Topological Quantum Compilation of Three-Qubit Controlled Gates in the Fibonacci Anyon Model: A Controlled-Injection Approach
• Entangled states from arborescent knots
• Spin-flux attachment by dimensional reduction of vortices
• Propagation of ultrashort voltage pulses through a small quantum dot
• Non-Abelian phases from the condensation of Abelian anyons
• Fractional-statistics-induced entanglement from Andreev-like tunneling
• Single electron interference and capacitive edge mode coupling generates ${\Phi }_0/2$ flux periodicity in Fabry-Perot interferometers
• Compatibility of Braiding and Fusion on Wire Networks
• Non-Abelian anyon statistics through AC conductance of a Majorana interferometer
• Fabry-Perot and Aharonov-Bohm interference in ideal graphene nanoribbons
• Approximate Hofstadter- and Kapit-Mueller-like parent Hamiltonians for Laughlin states on fractals
• Anyon-trions in atomically thin semiconductor heterostructures
• Signature of anyonic statistics in the integer quantum Hall regime
• Anisotropy and quench dynamics of quasiholes in fractional quantum Hall liquids
• Revisiting Coulomb diamond signatures in quantum Hall interferometers
• Photo-assisted current in the fractional quantum Hall effect as a probe of the quasiparticle operator scaling dimension
• Non-Abelian Anyons with Rydberg Atoms
• Fermionic anyons: entanglement and quantum computation from a resource-theoretic perspective
• Negative longitudinal resistance of monolayer graphene in the quantum Hall regime
• Geometric and computational aspects of chiral topological quantum matter
• Probing anyonic statistics via Mach-Zehnder interferometry in quantum computers
• Refermionized theory of the edge modes of a fractional quantum Hall cloud
• Stabilization of symmetry-protected long-range entanglement in stochastic quantum circuits
• Universal Anyon Tunneling in a Chiral Luttinger Liquid
• Superactivation of Bell nonlocality in pure anyonic states
• Twenty years of quantum contextuality at USTC
• Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges
• Spin fractionalization at the edge of quantum Hall fluids induced by bulk quasiparticles
• Coulomb oscillations of a quantum antidot formed by an airbridged pillar gate in the integer and fractional quantum Hall regime
• Natural orbitals and their occupation numbers for free anyons in the magnetic gauge
• Spinon band flattening by its emergent gauge field in quantum kagome ice
• Manifestation of edge-bulk incompatibility in fractional quantum Hall platform
• Entangling gates from cabling of knots
• Anomalous acousto-current within the quantum Hall plateaus
• Identifying Anyonic Topological Order in Fractional Quantum Anomalous Hall Systems
• Experimental Realization of Non-Abelian Permutations in a Three-State Non-Hermitian System
• Time domain non-linear quantum interferometry
• Fractionally charged anyon generated by topological path fusion in magnetic flux lattice
• Non-Abelian topological order with SO(5)${}_1$ chiral edge states
• Localizing Individual Exciton on a Quantum Hall Antidot
• Topological states in double monolayer graphene
• Topological entanglement entropy meets holographic entropy inequalities
• An Exclusion Principle for Sum-Free Quantum Numbers
• Collapse of edge reconstruction in compressible Quantum Hall fluid within filling fraction range 2/3 to 1
• Vortex creation and control in the Kitaev spin liquid by local bond modulations
• Fractional Quantum Hall edge dynamics from a Quantum Optics perspective
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations
• Quantum statistics and self-interference in extended colliders
• 2D magnetic stability
• Dynamics of "Classical" Bosons, Fermions, and beyond
• Tunable anyonic permeability across ${\mathbb{Z}}_2$ spin liquid junctions
• Measuring Chern-Simons level $k$ by braiding $SU(2{)}_k$ anyons
• An exactly solvable model for anyons with non-Abelian flux
• Anyonic analogue of optical Mach-Zehnder interferometer
• Introduction to abelian anyons in planar systems
• Bosonization in $R$-paraparticle Luttinger models
• Proposal for bulk measurement of braid statistics in fractional quantum Hall effect
• Superconductivity of neutral modes in quantum Hall edges
• Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor
• Exciton-Anyon Binding in Fractional Chern Insulators: Spectral Fingerprints
• Cascade of fractional quantum Hall states in 2D system
• Categorical computation
• Necessity of orthogonal basis vectors for the two-anyon problem in one-dimensional lattice
• Bloch classification surface for three-band systems
• Fractional index of Bargmann-Fock space and Landau levels
• Universal topological quantum computing via double-braiding in SU(2) Witten-Chern-Simons theory
• Even-denominator fractional quantum Hall states in the zeroth Landau level of ABA trilayer graphene
• Interacting 1D Chiral Fermions with Pairing: Transition from Integrable to Chaotic