# SKM 2023 – wissenschaftliches Programm

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# DY: Fachverband Dynamik und Statistische Physik

## DY 27: Statistical Physics: Far From Equilibrium I

### DY 27.2: Vortrag

### Mittwoch, 29. März 2023, 10:00–10:15, ZEU 250

**Anomalous relaxation of density waves in a ring-exchange system** — •Pranay Patil^{1,2}, Markus Heyl^{1,3}, and Fabien Alet^{2} — ^{1}Max-Planck Institute for the Physics of Complex Systems, Dresden, Germany — ^{2}Laboratoire de Physique Theorique, Universite de Toulouse, CNRS, UPS, France — ^{3}Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of Physics, University of Augsburg, 86135 Augsburg, Germany

We present the analysis of the slowing down exhibited by stochastic dynamics of a ring-exchange model on a square lattice, by means of numerical simulations. We find the preservation of coarse-grained memory of initial state of density-wave types for unexpectedly long times. This behavior is inconsistent with the prediction from a low frequency continuum theory developed by assuming a mean field solution. Through a detailed analysis of correlation functions of the dynamically active regions, we exhibit an unconventional transient long ranged structure formation in a direction which is featureless for the initial condition, and argue that its slow melting plays a crucial role in the slowing-down mechanism. We expect our results to be relevant also for the dynamics of quantum ring-exchange dynamics of hard-core bosons.