Topology Protects Chiral Edge Currents in Stochastic Systems

Constructing systems that exhibit timescales much longer than those of the underlying components, as well as emergent dynamical and collective behavior, is a key goal in fields such as synthetic biology and materials self-assembly. Inspiration often comes from living systems, in which robust global...

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Autores principales:	Evelyn Tang, Jaime Agudo-Canalejo, Ramin Golestanian
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/ec14edd9795b4ebdbf6dd8bdae01fd6d
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spelling	oai:doaj.org-article:ec14edd9795b4ebdbf6dd8bdae01fd6d2021-12-02T17:02:44ZTopology Protects Chiral Edge Currents in Stochastic Systems10.1103/PhysRevX.11.0310152160-3308https://doaj.org/article/ec14edd9795b4ebdbf6dd8bdae01fd6d2021-07-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.031015http://doi.org/10.1103/PhysRevX.11.031015https://doaj.org/toc/2160-3308Constructing systems that exhibit timescales much longer than those of the underlying components, as well as emergent dynamical and collective behavior, is a key goal in fields such as synthetic biology and materials self-assembly. Inspiration often comes from living systems, in which robust global behavior prevails despite the stochasticity of the underlying processes. Here, we present two-dimensional stochastic networks that consist of minimal motifs representing out-of-equilibrium cycles at the molecular scale and support chiral edge currents in configuration space. These currents arise in the topological phase because of the bulk-boundary correspondence and dominate the system dynamics in the steady state, further proving robust to defects or blockages. We demonstrate the topological properties of these networks and their uniquely non-Hermitian features such as exceptional points and vorticity, while characterizing the edge-state localization. As these emergent edge currents are associated with macroscopic timescales and length scales, simply tuning a small number of parameters enables varied dynamical phenomena, including a global clock, dynamical growth and shrinkage, and synchronization. Our construction provides a novel topological formalism for stochastic systems and fresh insights into non-Hermitian physics, paving the way for the prediction of robust dynamical states in new classical and quantum platforms.Evelyn TangJaime Agudo-CanalejoRamin GolestanianAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 3, p 031015 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Evelyn Tang Jaime Agudo-Canalejo Ramin Golestanian Topology Protects Chiral Edge Currents in Stochastic Systems
description	Constructing systems that exhibit timescales much longer than those of the underlying components, as well as emergent dynamical and collective behavior, is a key goal in fields such as synthetic biology and materials self-assembly. Inspiration often comes from living systems, in which robust global behavior prevails despite the stochasticity of the underlying processes. Here, we present two-dimensional stochastic networks that consist of minimal motifs representing out-of-equilibrium cycles at the molecular scale and support chiral edge currents in configuration space. These currents arise in the topological phase because of the bulk-boundary correspondence and dominate the system dynamics in the steady state, further proving robust to defects or blockages. We demonstrate the topological properties of these networks and their uniquely non-Hermitian features such as exceptional points and vorticity, while characterizing the edge-state localization. As these emergent edge currents are associated with macroscopic timescales and length scales, simply tuning a small number of parameters enables varied dynamical phenomena, including a global clock, dynamical growth and shrinkage, and synchronization. Our construction provides a novel topological formalism for stochastic systems and fresh insights into non-Hermitian physics, paving the way for the prediction of robust dynamical states in new classical and quantum platforms.
format	article
author	Evelyn Tang Jaime Agudo-Canalejo Ramin Golestanian
author_facet	Evelyn Tang Jaime Agudo-Canalejo Ramin Golestanian
author_sort	Evelyn Tang
title	Topology Protects Chiral Edge Currents in Stochastic Systems
title_short	Topology Protects Chiral Edge Currents in Stochastic Systems
title_full	Topology Protects Chiral Edge Currents in Stochastic Systems
title_fullStr	Topology Protects Chiral Edge Currents in Stochastic Systems
title_full_unstemmed	Topology Protects Chiral Edge Currents in Stochastic Systems
title_sort	topology protects chiral edge currents in stochastic systems
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/ec14edd9795b4ebdbf6dd8bdae01fd6d
work_keys_str_mv	AT evelyntang topologyprotectschiraledgecurrentsinstochasticsystems AT jaimeagudocanalejo topologyprotectschiraledgecurrentsinstochasticsystems AT ramingolestanian topologyprotectschiraledgecurrentsinstochasticsystems
_version_	1718381942047506432

Topology Protects Chiral Edge Currents in Stochastic Systems

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