Probing bulk topological invariants using leaky photonic lattices

Abstract

Topological invariants characterising filled Bloch bands attract enormous interest, underpinning electronic topological insulators and analogous artificial lattices for Bose-Einstein condensates, photons, and acoustic waves. In the latter bosonic systems there is no Fermi exclusion principle to enforce uniform band filling, which makes measurement of their bulk topological invariants challenging. Here we show how to achieve controllable filling of bosonic bands using leaky photonic lattices. Leaky photonic lattices host transitions between bound and radiative modes at a critical energy, which plays a role analogous to the electronic Fermi level. Tuning this effective Fermi level into a band gap results in disorder-robust dynamical quantization of bulk topological invariants such as the Chern number. Our findings establish leaky lattices as a novel and highly flexible platform for exploring topological and non-Hermitian wave physics.

arXiv comment12 pages, 6 figures

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Cited by in corpus (10)

• Non-Hermitian Photonic Lattices: tutorial
• Stabilizing multiple topological fermions on a quantum computer
• Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained Categorization of Chern Insulators
• Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
• Direct measurement of topological invariants through temporal adiabatic evolution of bulk states in the synthetic Brillouin zone
• Identifying topology of leaky photonic lattices with machine learning
• Simulation of Kitaev model using one-dimensional chain of superconducting qubits and environmental effect on topological states
• Observation of Square-Root Higher-Order Topological States in Photonic Waveguide Arrays
• Spin photonic topological metasurface based on kagome lattice and leaky-wave application
• Majorana-like oscillation for edge states in one-dimensional topological chain with dissipative couplings