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SYQS: Symposium Nonequilibrium Collective Behavior in Open Classical and Quantum Systems

SYQS 1: Nonequilibrium Collective Behavior in Open Classical and Quantum Systems

SYQS 1.2: Hauptvortrag

Donnerstag, 20. März 2025, 15:30–16:00, H1

Robust dynamics and function in stochastic topological systems — •Evelyn Tang — Rice University, Houston, TX

Living systems exhibit various robust dynamics and cycles during system regulation, growth, and motility. However, how robustness emerges from stochastic components remains unclear. Towards understanding this, I develop topological theories that support robust edge currents and localization, effectively reducing the system function to a lower-dimensional subspace. I will introduce stochastic networks in molecular reaction space that model long and stable time scales, such as the circadian rhythm. More generally, we prove that unlike their quantum counterparts, stochastic topological systems require driving or non-equilibrium for edge states and strong localization. I will close by discussing experimental platforms for the detection and use of edge currents for self-assembly and replication in living systems.

Keywords: stochastic systems; topological phases; circadian rhythm; emergent function; non-equilibrium