2020/10/31 by Yi-Ping Ma, Y. -P. Ma, H. Susanto · 1 citation
Mathematics · Physics and Astronomy · #Band gap #Computer science #Coupling (piping) #Enhanced Data Rates for GSM Evolution #Instability #Materials science #Mathematics #Nonlinear Photonic Systems #Nonlinear optics #Nonlinear system #Photonics #Physics #Quantum many-body systems #Quantum mechanics #Stability (learning theory) #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.mes-hall #math.DS #nlin.PS #physics.optics
paper · pdf · doi:10.1103/physreve.104.054206
published as Phys. Rev. E 104, 054206 (2021) · 7 pages, 6 figures; accepted version in Physical Review E after addressing referee comments
openalex publication_date 2021/11/11 · arxiv created 2021/12/25 · arxiv updated 2021/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study continuations of topological edge states in the Su-Schrieffer-Heeger model with on-site cubic (Kerr) nonlinearity, which is a 1D nonlinear photonic topological insulator (TI). Based on the topology of the underlying spatial dynamical system, we establish the existence of nonlinear edge states (edge solitons) for all positive energies in the topological band gap. We discover that these edge solitons are stable at any energy when the ratio between the weak and strong couplings is below a critical value. Above the critical coupling ratio, there are energy intervals where the edge solitons experience an oscillatory instability. Though our paper focuses on a photonic system, we also discuss the broader relevance of our methods and results to 1D nonlinear mechanical TIs.