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.

6 pages, 2 figures

References in corpus (6)

• Topological Photonics
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Measurement of a topological edge invariant in a microwave network
• Interferometric approach to measuring band topology in 2D optical lattices
• Direct measurement of topological invariants in optical lattices
• Measuring topology in a laser-coupled honeycomb lattice: From Chern insulators to topological semi-metals

Cited by in corpus (3)

• Chirality of topological gap solitons in bosonic dimer chains
• Switching between topological edge states in plasmonic systems using phase-change materials
• Signature of edge states in resonant wave scattering