Floquet amorphous topological orders in a one-dimensional Rydberg glass

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 po...

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Main Authors: Peng He, Jing-Xin Liu, Hong Wu, Z. D. Wang
Format: Article
Language:English
Published: Nature Portfolio 2025-06-01
Series:Communications Physics
Online Access:https://doi.org/10.1038/s42005-025-02164-4
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author Peng He
Jing-Xin Liu
Hong Wu
Z. D. Wang
author_facet Peng He
Jing-Xin Liu
Hong Wu
Z. D. Wang
author_sort Peng He
collection DOAJ
description 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 π-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.
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spelling doaj-art-c8da6d559fb446769fe9288e8bfdf46b2025-08-20T02:30:41ZengNature PortfolioCommunications Physics2399-36502025-06-01811710.1038/s42005-025-02164-4Floquet amorphous topological orders in a one-dimensional Rydberg glassPeng He0Jing-Xin Liu1Hong Wu2Z. D. Wang3Department of Physics and HK Institute of Quantum Science & Technology, The University of Hong KongNational Laboratory of Solid State Microstructures, School of Physics, and Collaborative Innovation Center of Advanced Microstructures, Nanjing UniversitySchool of Science, and Institute for Advanced Sciences, Chongqing University of Posts and TelecommunicationsDepartment of Physics and HK Institute of Quantum Science & Technology, The University of Hong KongAbstract 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 π-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.https://doi.org/10.1038/s42005-025-02164-4
spellingShingle Peng He
Jing-Xin Liu
Hong Wu
Z. D. Wang
Floquet amorphous topological orders in a one-dimensional Rydberg glass
Communications Physics
title Floquet amorphous topological orders in a one-dimensional Rydberg glass
title_full Floquet amorphous topological orders in a one-dimensional Rydberg glass
title_fullStr Floquet amorphous topological orders in a one-dimensional Rydberg glass
title_full_unstemmed Floquet amorphous topological orders in a one-dimensional Rydberg glass
title_short Floquet amorphous topological orders in a one-dimensional Rydberg glass
title_sort floquet amorphous topological orders in a one dimensional rydberg glass
url https://doi.org/10.1038/s42005-025-02164-4
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AT zdwang floquetamorphoustopologicalordersinaonedimensionalrydbergglass