Topological Photonics

Abstract

Topology is revolutionizing photonics, bringing with it new theoretical discoveries and a wealth of potential applications. This field was inspired by the discovery of topological insulators, in which interfacial electrons transport without dissipation even in the presence of impurities. Similarly, new optical mirrors of different wave-vector space topologies have been constructed to support new states of light propagating at their interfaces. These novel waveguides allow light to flow around large imperfections without back-reflection. The present review explains the underlying principles and highlights the major findings in photonic crystals, coupled resonators, metamaterials and quasicrystals.

progress and review of an emerging field, 12 pages, 6 figures and 1 table

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• The electronic properties of graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological Crystalline Insulators
• Quantum fluids of light
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Scheme to Achieve Silicon Topological Photonics
• Photovoltaic Hall effect in graphene
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Analogs of quantum Hall effect edge states in photonic crystals
• Topological characterization of periodically-driven quantum systems
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Quantum phase transitions of light
• Bose-Einstein condensation of photons in an optical microcavity
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
• Propagating phonons coupled to an artificial atom
• Topological Transition in a Non-Hermitian Quantum Walk
• Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
• Time-reversal symmetry breaking in circuit-QED based photon lattices
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Merging of Dirac points in a two-dimensional crystal
• Topological properties of linear circuit lattices
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Topological Polaritons
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Topologically Robust Transport of Photons in a Synthetic Gauge Field
• Polariton $\mathbb{Z}$ Topological Insulator
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• Topological Pumping over a Photonic Fibonacci Quasicrystal
• Engineering spin-orbit coupling for photons and polaritons in microstructures
• Spatial and spectral shape of inhomogeneous non-equilibrium exciton-polariton condensates
• Symmetries, Topological Phases and Bound States in the One-Dimensional Quantum Walk
• Photonic quantum walk in a single beam with twisted light
• Quantum walks and wavepacket dynamics on a lattice with twisted photons
• Topological Polaritons and Excitons in Garden Variety Systems
• Fractional Quantum Hall State in Coupled Cavities
• Unveiling pseudospin and angular momentum in photonic graphene
• Josephson junction-embedded transmission-line resonators: from Kerr medium to in-line transmon
• Topological index for periodically driven time-reversal invariant 2D systems
• Position-Momentum Duality and Fractional Quantum Hall Effect in Chern Insulators
• Polaritonic Feshbach Resonance
• Periodically-driven quantum matter: the case of resonant modulations
• Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene
• Tunable coupling engineering between superconducting resonators: from sidebands to effective gauge fields
• Topology of density matrices
• Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices
• Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices
• Majorana-Like Modes of Light in a One-Dimensional Array of Nonlinear Cavities
• Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
• Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
• Floquet Edge States with Ultracold Atoms
• Theory of the spatial structure of non-linear lasing modes
• Manipulation of edge states in microwave artificial graphene
• How to detect the pseudospin-1/2 Berry phase in a photonic crystal with a Dirac spectrum
• Chains with loops - synthetic magnetic fluxes and topological order in one-dimensional spin systems
• Topological growing of Laughlin states in synthetic gauge fields
• Fractional quantum Hall physics with ultracold Rydberg gases in artificial gauge fields
• Inter-mode reactive coupling induced by waveguide-resonator interaction
• Extinction of coherent backscattering by a disordered photonic crystal with a Dirac spectrum
• Non-Abelian SU(2) gauge fields through density-wave order and strain in graphene
• Quantum Crystals and Laughlin Droplets of Cavity Rydberg Polaritons
• On the Role of Symmetries in the Theory of Photonic Crystals
• Growing quantum states with topological order

Cited by in corpus (69)

• Chiral Quantum Optics
• Scheme to Achieve Silicon Topological Photonics
• Topological Acoustics
• Topological nature of bound states in the radiation continuum
• Quantum spin Hall effect of light
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
• Valley Vortex States in Sonic Crystals
• Topological properties of linear circuit lattices
• Double-Weyl phonons in transition-metal monosilicides
• Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
• Multipolar nonlinear nanophotonics
• Observation of topological valley modes in an elastic hexagonal lattice
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• Detecting topological invariants in nonunitary discrete-time quantum walks
• Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
• Topological Polaritons and Excitons in Garden Variety Systems
• Bulk-edge correspondence for topological photonic continua
• Spectral photonic lattices with complex long-range coupling
• Optical isolation with nonlinear topological photonics
• Topological collective plasmons in bipartite chains of metallic nanoparticles
• Multipolar interference effects in nanophotonics
• Topological Andreev bands in three-terminal Josephson junctions
• Symmetry-protected zero-mode laser with a tunable spatial profile
• Chirality of topological gap solitons in bosonic dimer chains
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• PTD Symmetry Protected Scattering Anomaly in Optics
• Robust Edge States in Amorphous Gyromagnetic Photonic Lattices
• The Emergence of Topological Nodal Points in Photonic Crystal with Mirror Symmetry
• Dynamically manipulating topological physics and edge modes in a single degenerate optical cavity
• Topological Zak Phase in Strongly-Coupled LC Circuits
• Dial-in Topological Metamaterials Based on Bistable Stewart Platform
• Three-Dimensional Majorana Fermions in Chiral Superconductors
• Non-Hermitian bidirectional robust transport
• Phase spectroscopy of topological invariants in photonic crystals
• Topological Angular Momentum and Radiative Heat Transport in Closed Orbits
• The Existence of Topological Edge States in Honeycomb Plasmonic Lattices
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations
• Chiral edge mode in the coupled dynamics of magnetic solitons in a honeycomb lattice
• Photonic Chern insulator through homogenization of an array of particles
• Steady-state Hall response and quantum geometry of driven-dissipative lattices
• Tuning Topological Phase Transitions in Hexagonal Photonic Lattices Made of Triangular Rods
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• A group theoretical route to deterministic Weyl points in chiral photonic lattices
• Interaction-induced two-photon edge states in extended Hubbard model realized in a cavity array
• Topologically protected elastic waves in one-dimensional phononic crystals of continuous media
• Spontaneous and Superfluid Chiral Edge States in Exciton-Polariton Condensates
• Photonic Versus Electronic Quantum Anomalous Hall Effect
• Nonlinear Dirac Cones
• Generation and spectroscopic signatures of a fractional quantum Hall liquid of photons in an incoherently pumped optical cavity
• Topological invariants for Floquet-Bloch systems with chiral, time-reversal, or particle-hole symmetry
• Bi-hyperbolic isofrequency surface in a magnetic-semiconductor superlattice
• Plasmonic edge states: an electrostatic eigenmode description
• Engineering topological edge states in two dimensional magnetic photonic crystal
• Section Chern number for a 3D photonic crystal and the bulk-edge correspondence
• Universal driving protocol for symmetry-protected Floquet topological phases
• Edge states in self-complementary checkerboard photonic crystals: Zak phase, surface impedance and experimental verification
• Realising Type II Weyl Points in an Optical Lattice
• Synthetic gauge potential and effective magnetic field in a Raman medium undergoing molecular modulation
• Detecting topological transitions in two dimensions by Hamiltonian evolution
• Robust unidirectional transport in a one-dimensional metacrystal with long-range hopping
• Quantum cascade driving: Dissipatively mediated coherences
• Photonic Nambu-Goldstone bosons
• Quantum transport in coupled resonators enclosed synthetic magnetic flux
• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
• Stability of Fractional Quantum Hall States in Disordered Photonic Systems
• Synthetic gauge field and pseudospin-orbit interaction in a stacked two-dimensional ring-network lattice