Observation of non-Hermitian topological synchronization

Abstract Non-Hermitian topology plays a pivotal role in physical science and technology, exerting a profound impact across various scientific disciplines. Recently, the interplay between topological physics and nonlinear synchronization has aroused a great interest, leading to the emergence of an in...

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Main Authors: Fengxiao Di, Weixuan Zhang, Xiangdong Zhang
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Communications Physics
Online Access:https://doi.org/10.1038/s42005-025-01999-1
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author Fengxiao Di
Weixuan Zhang
Xiangdong Zhang
author_facet Fengxiao Di
Weixuan Zhang
Xiangdong Zhang
author_sort Fengxiao Di
collection DOAJ
description Abstract Non-Hermitian topology plays a pivotal role in physical science and technology, exerting a profound impact across various scientific disciplines. Recently, the interplay between topological physics and nonlinear synchronization has aroused a great interest, leading to the emergence of an intriguing phenomenon known as topological synchronization, wherein nonlinear oscillators at boundaries synchronize through topological boundary states. To the best of our knowledge, however, this phenomenon has yet to be experimentally validated, and the study of non-Hermitian topological synchronization remains in its infancy. Here, we investigate non-Hermitian topological synchronization, uncovering the influence of system size and boundary site geometry on synchronization effects. We demonstrate that simply varying the lattice size allows transitions between three distinct types of non-Hermitian topological synchronization. Furthermore, we reveal that the geometry of the boundary sites introduces a degree of freedom, enabling the control over the configuration of non-Hermitian topological synchronization. These findings are experimentally validated using non-Hermitian nonlinear topological circuits. This work significantly broadens the scope of nonlinear non-Hermitian topological physics and opens new avenues for the application of synchronization phenomena in future technologies.
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spelling doaj-art-a2d1e86228484d91927941e05a3a50d22025-08-20T02:01:30ZengNature PortfolioCommunications Physics2399-36502025-02-01811910.1038/s42005-025-01999-1Observation of non-Hermitian topological synchronizationFengxiao Di0Weixuan Zhang1Xiangdong Zhang2Key Laboratory of advanced optoelectronic quantum architecture and measurements of Ministry of Education, Beijing Institute of TechnologyKey Laboratory of advanced optoelectronic quantum architecture and measurements of Ministry of Education, Beijing Institute of TechnologyKey Laboratory of advanced optoelectronic quantum architecture and measurements of Ministry of Education, Beijing Institute of TechnologyAbstract Non-Hermitian topology plays a pivotal role in physical science and technology, exerting a profound impact across various scientific disciplines. Recently, the interplay between topological physics and nonlinear synchronization has aroused a great interest, leading to the emergence of an intriguing phenomenon known as topological synchronization, wherein nonlinear oscillators at boundaries synchronize through topological boundary states. To the best of our knowledge, however, this phenomenon has yet to be experimentally validated, and the study of non-Hermitian topological synchronization remains in its infancy. Here, we investigate non-Hermitian topological synchronization, uncovering the influence of system size and boundary site geometry on synchronization effects. We demonstrate that simply varying the lattice size allows transitions between three distinct types of non-Hermitian topological synchronization. Furthermore, we reveal that the geometry of the boundary sites introduces a degree of freedom, enabling the control over the configuration of non-Hermitian topological synchronization. These findings are experimentally validated using non-Hermitian nonlinear topological circuits. This work significantly broadens the scope of nonlinear non-Hermitian topological physics and opens new avenues for the application of synchronization phenomena in future technologies.https://doi.org/10.1038/s42005-025-01999-1
spellingShingle Fengxiao Di
Weixuan Zhang
Xiangdong Zhang
Observation of non-Hermitian topological synchronization
Communications Physics
title Observation of non-Hermitian topological synchronization
title_full Observation of non-Hermitian topological synchronization
title_fullStr Observation of non-Hermitian topological synchronization
title_full_unstemmed Observation of non-Hermitian topological synchronization
title_short Observation of non-Hermitian topological synchronization
title_sort observation of non hermitian topological synchronization
url https://doi.org/10.1038/s42005-025-01999-1
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AT weixuanzhang observationofnonhermitiantopologicalsynchronization
AT xiangdongzhang observationofnonhermitiantopologicalsynchronization