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SUMMARY:Topology protects chiral edge currents in stochastic systems - Eve
 lyn Tang\, Department of Living Matter Physics\, Max Planck Institute of D
 ynamics and Self-Organization
DTSTART:20210202T130000Z
DTEND:20210202T140000Z
UID:TALK156055@talks.cam.ac.uk
CONTACT:Patrick Pietzonka
DESCRIPTION:Zoom link: https://maths-cam-ac-uk.zoom.us/j/94018037756\n\nCo
 nstructing systems that exhibit time-scales much longer than those of the 
 underlying components\, as well as emergent dynamical and collective behav
 ior\, is a key goal in fields such as synthetic biology and materials self
 -assembly. Inspiration often comes from living systems\, in which robust g
 lobal behavior prevails despite the stochasticity of the underlying proces
 ses. Here\, we present two-dimensional stochastic networks that consist of
  minimal motifs representing out-of-equilibrium cycles at the molecular sc
 ale and support chiral edge currents in configuration space. These current
 s arise in the topological phase due to the bulk-boundary correspondence a
 nd dominate the system dynamics in the steady-state\, further proving robu
 st to defects or blockages. We demonstrate the topological properties of t
 hese networks and their uniquely non-Hermitian features such as exceptiona
 l points and vorticity\, while characterizing the edge state localization.
  As these emergent edge currents are associated to macroscopic timescales 
 and length scales\, simply tuning a small number of parameters enables var
 ied dynamical phenomena including a global clock\, dynamical growth and sh
 rinkage\, and synchronization. Our construction provides a novel topologic
 al 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.\n\nhttps://arxiv.org/abs/2010.02845
LOCATION:via zoom\, meeting ID 940-1803-7756
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