Measuring topological invariants in photonic systems

Abstract

Motivated by the recent theoretical and experimental progress in implementing topological orders with photons, we analyze photonic systems with different topologies and present a scheme to probe their topological features. Specifically, we propose a scheme to modify the boundary phases to manipulate edge state dynamics. Such a scheme allows one to measure the winding number of the edge states. Furthermore, we discuss the effect of loss and disorder on the validity of our approach.

5 pages, 5 figures

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Cited by in corpus (65)

• Topological Photonics
• Topological Photonics
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• A topological source of quantum light
• Quantum simulations and many-body physics with light
• Measurement of topological invariants in a 2D photonic system
• Dynamical moments reveal a topological quantum transition in a photonic quantum walk
• Topological Phase Transitions and Thouless Pumping of Light in Photonic Waveguide Arrays
• Measurement of the Zak phase of photonic bands through the interface states of metasurface/photonic crystal
• Measurement of a topological edge invariant in a microwave network
• Adiabatic Perturbation Theory and Geometry of Periodically-Driven Systems
• Incident Direction Independent Wave Propagation and Unidirectional Lasing
• Topolectric circuits: Theory and construction
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Exceptional Points in a Non-Hermitian Topological Pump
• Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
• Direct Observation of Topology from Single-photon Dynamics on a Photonic Chip
• Measuring topological invariants from generalized edge states in polaritonic quasicrystals
• Measurement of Chern numbers through center-of-mass responses
• Effective Theory of Non-Adiabatic Quantum Evolution Based on the Quantum Geometric Tensor
• Asymptotic Prethermalization in Periodically Driven Classical Spin Chains
• Dynamically manipulating topological physics and edge modes in a single degenerate optical cavity
• Reinforcement learning for autonomous preparation of Floquet-engineered states: Inverting the quantum Kapitza oscillator
• Measuring the Quantum Geometric Tensor in 2D Photonic and Polaritonic Systems
• Probing one-dimensional topological phases in waveguide lattices with broken chiral symmetry
• Topologically robust transport of entangled photons in a 2D photonic system
• Single-photon nonreciprocal excitation transfer with non-Markovian retarded effects
• Simulation and Detection of Photonic Chern Insulators in One-Dimensional Circuit Quantum Electrodynamics Lattice
• Topological photonics: fundamental concepts, recent developments, and future directions
• Bulk-edge correspondence in topological pumping
• Parity-time symmetric coupled asymmetric dimers
• Non-Abelian effects in dissipative photonic topological lattices
• Phase spectroscopy of topological invariants in photonic crystals
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Topological growing of Laughlin states in synthetic gauge fields
• Symmetry-Protected Scattering in Non-Hermitian Linear Systems
• Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
• Topological photonic crystal fibers and ring resonators
• Flat band in two-dimensional non-Hermitian optical lattices
• Reconfigurable Microwave Photonic Topological Insulator
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Detecting Topological Phases of Microwave Photons in a Circuit Quantum Electrodynamics Lattice
• Prethermalization and Thermalization in Periodically-Driven Many-Body Systems away from the High-Frequency Limit
• Asymmetric lasing at spectral singularities
• Resummation for Nonequilibrium Perturbation Theory and Application to Open Quantum Lattices
• Observation of topological gravity-capillary waves in a water wave crystal
• Seeing bulk topological properties of band insulators in small photonic lattices
• Topological Floquet edge states in periodically curved waveguides
• Hamiltonian Tomography of Photonic Lattices
• Truncated correlation hierarchy schemes for driven-dissipative multimode quantum systems
• Joint Entanglement of Topology and Polarization Enables Error-Protected Quantum Registers
• Topological photonics on superconducting quantum circuits with parametric couplings
• Stable Bloch oscillations and Landau-Zener tunneling in a non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric flat band lattice
• Parity-time symmetry under magnetic flux
• Helical resonant transport and purified amplification at an exceptional point
• Growing quantum states with topological order
• Topological photon pumping in quantum optical systems
• Signature of edge states in resonant wave scattering
• Dynamical detection of mean-field topological phases in an interacting Chern insulator
• 3D $Z_2$ Topological Nodes in Nonsymmorphic Photonic Crystals: Ultrastrong Coupling and Anomalous Refraction
• Quantum transport in coupled resonators enclosed synthetic magnetic flux
• Nonlinear compact localized modes in flux-dressed octagonal-diamond photonic lattice
• Tailoring the photon hopping by nearest and next-nearest-neighbour interaction in photonic arrays
• Out-of-equilibrium physics in driven dissipative coupled resonator arrays
• Simulating topological phases and topological phase transitions with classical strings