Topological localization in out-of-equilibrium dissipative systems

Abstract

In this paper we report that notions of topological protection can be applied to stationary configurations that are driven far from equilibrium by active, dissipative processes. We show this for physically two disparate cases : stochastic networks governed by microscopic single particle dynamics as well as collections of driven, interacting particles described by coarse-grained hydrodynamic theory. In both cases, the presence of dissipative couplings to the environment that break time reversal symmetry are crucial to ensuring topologically protection. These examples constitute proof of principle that notions of topological protection, established in the context of electronic and mechanical systems, do indeed extend generically to processes that operate out of equilibrium. Such topologically robust boundary modes have implications for both biological and synthetic systems.

11 pages, 4 figures (SI: 8 pages 3 figures)

References in corpus (11)

• Motility-Induced Phase Separation
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Thermodynamic uncertainty relation for biomolecular processes
• Topological Transition in a Non-Hermitian Quantum Walk
• Topological modes bound to dislocations in mechanical metamaterials
• Odd viscosity in chiral active fluids
• Nonlinear conduction via solitons in a topological mechanical insulator
• Topological Origin of Equatorial Waves
• Topological Sound and Flocking on Curved Surfaces
• Statistical mechanics of transport processes in active fluids: Equations of hydrodynamics
• Generalized hydrodynamics of active polar suspensions

Cited by in corpus (36)

• Non-Hermitian Physics
• Topological waves in fluids with odd viscosity
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• Unsupervised Manifold Clustering of Topological Phononics
• Robust boundary flow in chiral active fluid
• Exceptional non-Hermitian topological edge mode and its application to active matter
• Swimming in Complex Fluids
• Anomalous Topological Active Matter
• Entropy production fluctuations encode collective behavior in active matter
• Dynamical Crystallites of Active Chiral Particles
• Active Microrheology, Hall Effect, and Jamming in Chiral Fluids
• Time reversal symmetry breaking in two-dimensional non-equilibrium viscous fluids
• Topological phase transition in coupled rock-paper-scissor cycles
• Reversibility, Pattern Formation and Edge Transport in Active Chiral and Passive Disk Mixtures
• Odd mobility of a passive tracer in a chiral active fluid
• Chirality transitions in a system of active flat spinners
• Topology protects chiral edge currents in stochastic systems
• Subradiant-to-Subradiant Phase Transition in the Bad Cavity Laser
• A topological mechanism for robust and efficient global oscillations in biological networks
• Reviving the Lieb-Schultz-Mattis Theorem in Open Quantum Systems
• Controlling the Deformation of Metamaterials: Corner Modes via Topology
• Role of Topology in Relaxation of One-Dimensional Stochastic Processes
• A topological fluctuation theorem
• Chiral Edge Modes in Helmholtz-Onsager Vortex Systems
• Soft topological modes protected by symmetry in rigid mechanical metamaterials
• Complete absorption of topologically protected waves
• Chiral Edge Currents for ac Driven Skyrmions in Confined Pinning Geometries
• Power-law correlation in the homogeneous disordered state of anisotropically self-propelled systems
• Non-reciprocity is necessary for robust dimensional reduction and strong responses in stochastic topological systems
• Density Mediated Spin Correlations Drive Edge to Bulk Flow Transition in Active Chiral Matter
• Hermitian and non-Hermitian topology in active matter
• Topological phases in discrete stochastic systems
• Topological edge flows drive macroscopic re-organization in magnetic colloids
• Nonequilibrium protection effect and spatial localization of noise-induced fluctuations: Quasi-one-dimensional driven lattice gas with partially penetrable obstacle
• Robust wall states in rapidly rotating Rayleigh-Bénard convection
• Topology of the simplest gene switch