SKM 2021 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 7: Focus Session: Facets of Many-Body Quantum Chaos (organised by Markus Heyl and Klaus Richter) (joint session DY/TT)
DY 7.3: Talk
Wednesday, September 29, 2021, 10:30–10:45, H6
Critically slow operator dynamics in constrained many-body systems — •Johannes Feldmeier1,2 and Michael Knap1,2 — 1Technical University of Munich — 2Munich Center for Quantum Science and Technology (MCQST)
The far-from-equilibrium dynamics of generic interacting quantum systems is characterized by a handful of universal guiding principles, among them the ballistic spreading of initially local operators. Here, we show that in certain constrained many-body systems the structure of conservation laws can cause a drastic modification of this universal behavior. As an example, we study operator growth characterized by out-of-time-order correlations (OTOCs) in a dipole-conserving fracton chain. We identify a critical point with sub-ballistically moving OTOC front, that separates a ballistic from a dynamically frozen phase. This critical point is tied to an underlying localization transition and we use its associated scaling properties to derive an effective description of the moving operator front via a biased random walk with long waiting times. We support our arguments numerically using classically simulable automaton circuits.