Floquet Amorphous Topological Orders in a One-dimensional Rydberg Glass

TL;DR

This paper investigates Floquet-driven amorphous topological phases in a one-dimensional Rydberg atom array, revealing robust edge modes, disorder-induced phase transitions, and many-body topological order with experimental feasibility.

Contribution

It introduces Floquet amorphous topological matter in a 1D Rydberg system, characterizing single-particle and many-body topological phases with experimental protocols.

Findings

Identification of robust amorphous topological edge modes

Disorder-induced topological phase transition linked to localization

Existence of many-body topological order in hardcore boson chain

Abstract

The topological orders in amorphous systems that lack crystalline symmetry have gained considerable attention recently. Here we propose the Floquet amorphous topological matter, among which the topological orders are explored in experimentally accessible one-dimensional array of randomly pointed Rydberg atoms with periodic driving. The topological properties are comprehensively characterized, considering both the single-particle and many-body perspectives. It is found that the periodic driving leads to rich topological phases of matter. At the single-particle level, we evaluate the real space winding numbers and polarization, revealing robust amorphous topological phases with 0-type and $\pi$-type edge modes. We show a structural disorder induced topological phase transition associated with localization transition in the nonequilibrium system. Remarkably, in the many-body case it is discovered that the amorphous topological order exists in the chain of hardcore bosons, captured by the topological entanglement entropy and the string order. Moreover, feasible experimental probe protocols are also elaborated.