Photonic quantum Hall effects

Abstract

This article reviews the development of photonic analogues of quantum Hall effects, which have given rise to broad interest in topological phenomena in photonic systems over the past decade. We cover early investigations of geometric phases, analogies between electronic systems and the spectra of periodic photonic media including photonic crystals, efforts to generalize topological band theory to open, dissipative, and nonlinear wave systems, pursuit of useful device applications, and ongoing studies of photonic Hall effects in classical nonlinear optics and the quantum regime of strong photon-photon interactions.

arXiv commentBook chapter for Elsevier Encyclopedia of Condensed Matter Physics. Comments are welcome

References in corpus (71)

• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• Berry Phase Effects on Electronic Properties
• Topological Photonics
• Photonic Floquet Topological Insulators
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Machine learning and the physical sciences
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Dissipationless Quantum Spin Current at Room Temperature
• Exceptional Topology of Non-Hermitian Systems
• Scheme to Achieve Silicon Topological Photonics
• Robust optical delay lines via topological protection
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Hall Effect of Light
• Lasing in topological edge states of a 1D lattice
• Spawning rings of exceptional points out of Dirac cones
• All-Si Valley-Hall Photonic Topological Insulator
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Goos-Hänchen and Imbert-Fedorov beam shifts: An overview
• Nonlinear topological photonics
• Qubit architecture with high coherence and fast tunable coupling
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Photonic quadrupole topological phases
• Chiral groundstate currents of interacting photons in a synthetic magnetic field
• Fractional quantum Hall states of atoms in optical Lattices
• Topological Transition in a Non-Hermitian Quantum Walk
• Spectral signatures of many-body localization with interacting photons
• Topological Hybrid Silicon Microlasers
• Time-reversal symmetry breaking in circuit-QED based photon lattices
• Topologically protected midgap states in complex photonic lattices
• Generalized spatial differentiation from spin Hall effect of light
• Edge Solitons in Nonlinear Photonic Topological Insulators
• A Dissipatively Stabilized Mott Insulator of Photons
• Observation of Topological Band Gap Solitons
• A topological source of quantum light
• Two-Dimensionally Confined Topological Edge States in Photonic Crystals
• Artificial Gauge Field for Photons in Coupled Cavity Arrays
• Berry phase, hyperorbits, and the Hofstadter spectrum
• Quantum simulations and many-body physics with light
• Active topological photonics
• Fractional Quantum Hall Effect in Optical Lattices
• Nonlinearity-induced photonic topological insulator
• Nonlinear second-order photonic topological insulators
• Synthetic Landau levels for photons
• Third-harmonic generation in photonic topological metasurfaces
• Fractional quantum Hall states of photons in an array of dissipative coupled cavities
• Topological spin transport of photons: the optical Magnus Effect and Berry Phase
• Observation of Laughlin states made of light
• Dirac-vortex topological cavity
• Quantized Nonlinear Thouless Pumping
• Fractional Quantum Hall State in Coupled Cavities
• Accidental degeneracy and topological phase transitions in two-dimensional core-shell dielectric photonic crystals
• Topological quantum fluctuations and travelling wave amplifiers
• Modified geometrical optics of a smoothly inhomogeneous isotropic medium: the anisotropy, Berry phase, and the optical Magnus effect
• Chiral Bogoliubons in Nonlinear Bosonic Systems
• Anomalous and Quantum Hall Effects in Lossy Photonic Lattices
• Observation of unidirectional soliton-like edge states in nonlinear Floquet topological insulators
• Nontrivial coupling of light into a defect: the interplay of nonlinearity and topology
• Synthetic gauge fields and homodyne transmission in Jaynes-Cummings lattices
• Geometrical Aspects in Optical Wavepacket Dynamics
• Induced self-stabilization in fractional quantum Hall states of light
• Non-equilibrium Fractional Quantum Hall state of light
• Fractional Quantum Hall Physics in Jaynes-Cummings-Hubbard Lattices
• The Nature of Topological Protection in Spin and Valley Hall Insulators
• Topological growing of Laughlin states in synthetic gauge fields
• Theory of intrinsic propagation losses in topological edge states of planar photonic crystals
• The Schrödinger Formalism of Electromagnetism and Other Classical Waves --- How to Make Quantum-Wave Analogies Rigorous
• Probing few-particle Laughlin states of photons via correlation measurements
• Spatial and Spectral Mode-Selection Effects in Topological Lasers with Frequency-Dependent Gain