Topological water wave states in a one-dimensional structure

Topological water wave states in a one-dimensional structure

Topological concepts have been introduced into electronic, photonic, and phononic systems, but have not been studied in surface-water-wave systems. Here we study a one-dimensional periodic resonant surface-water-wave system and demonstrate its topological transition. By selecting three different water depths, we can construct different types of water waves - shallow, intermediate and deep water...

Topological photonic states in one-dimensional dimerized ultracold atomic chains

The area of topological photonics attracts growing attention in the recent years. Herein, we theoretically and numerically study the topological optical states in one-dimensional (1D) dimerized ultracold atomic chains, as an analogy of the Su-Schrieffer-Heeger (SSH) model. We analytically calculate the band-structure and Zak phase for such chains beyond the tight-binding approximation. We find ...

Radiative topological states in one-dimensional resonant photonic crystals

We present a theory of topological edge states in onedimensional resonant photonic crystals with compound unit cell. We demonstrate how the structure, despite being onedimensional, can be characterized by topological indices. Contrary to conventional electronic topological states the modes under consideration are radiative, i.e., they decay in time due to the light escape through the structure ...

One Dimensional Topological Lattices

The lattice theoretic terminology used in this paper is consistent with Birkhoff [2]. The topological terms can be found in [5] or [8] with the following exceptions. If X and Y are sets, X\Y denotes the relative compliment of Y with respect to X. If A is a subset of a topological space then A*, A"and FiA)=A*\A° denote the topological closure, interior and boundary of A. The symbol 0 denotes the...

One{dimensional Topological Dynamics