2014/03/27 by Mor Verbin, Oded Zilberberg, Yoav Lahini +2 · 254 citations
Materials Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Combinatorics #Condensed matter physics #Fibonacci number #Materials science #Mathematics #Optoelectronics #Photonics #Physics #Quasicrystal #Quasicrystal Structures and Properties #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.mtrl-sci #physics.optics #quant-ph
paper · pdf · doi:10.1103/physrevb.91.064201
published in Physical Review B 91(6) (American Physical Society) · 5 pages, 4 figures, comments are welcome
arxiv created 2014/03/27 · openalex publication_date 2015/02/04 · arxiv updated 2015/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Quasiperiodic lattices have recently been shown to be a nontrivial topological phase of matter. Charge pumping---one of the hallmarks of topological states of matter---was recently realized for photons in a one-dimensional off-diagonal Harper model implemented in a photonic waveguide array. However, if the relationship between topological pumps and quasiperiodic systems is generic, one might wonder how to observe it in the canonical and most studied quasicrystalline system in one dimension---the Fibonacci chain. This chain is expected to facilitate a similar phenomenon, yet its discrete nature hinders the experimental study of such topological effects. Here, we overcome this obstacle by utilizing the topological equivalence of a family of quasiperiodic models which ranges from the Fibonacci chain to the Harper model. Implemented in photonic waveguide arrays, we observe the topological properties of this family, and perform a topological pumping of photons across a Fibonacci chain.