Phase spectroscopy of topological invariants in photonic crystals

Abstract

We propose a method of measuring topological invariants of a photonic crystal through phase spectroscopy. We show how the Chern numbers can be deduced from the winding numbers of the reflection coefficient phase. An explicit proof of existence of edge states in system with nonzero reflection phase winding number is given. The method is illustrated for one- and two-dimensional photonic crystals of nontrivial topology.

arXiv comment6 pages, 2 figures

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Cited by in corpus (23)

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• Measurement of the Zak phase of photonic bands through the interface states of metasurface/photonic crystal
• Topological tight-binding models from non-trivial square roots
• Kibble-Zurek mechanism in topologically non-trivial zigzag chains of polariton micropillars
• Direct Observation of Topology from Single-photon Dynamics on a Photonic Chip
• Chirality of topological gap solitons in bosonic dimer chains
• Topological lasing and self-induced transparency in two level systems
• Photonic ${\mathbb{Z}}_2$ topological Anderson insulators
• Simulation and Detection of Photonic Chern Insulators in One-Dimensional Circuit Quantum Electrodynamics Lattice
• Topological photonic crystal fibers and ring resonators
• Probing band topology using modulational instability
• Exact edge, bulk and bound states of finite topological systems
• Creation and annihilation of mobile fractional solitons in atomic chains
• Topological cascade laser for frequency comb generation in $\mathcal{P}\mathcal{T}$-symmetric structures
• Two Classes of Singularities and Novel Topology in a Specially Designed Synthetic Photonic Crystals
• Switching between topological edge states in plasmonic systems using phase-change materials
• Floquet-Weyl and Floquet-topological-insulator phases in a stacked two-dimensional ring-network lattice
• Distinguishing trivial and topological quadrupolar insulators by Wannier-Stark ladders
• Signature of edge states in resonant wave scattering
• Internal wave crystals
• Zak Phase Dislocations in Trimer Lattices