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Article Dans Une Revue Phys.Rev.E Année : 2023

Anomalous relaxation of density waves in a ring-exchange system

Résumé

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.

Dates et versions

hal-03901564 , version 1 (15-12-2022)

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Pranay Patil, Markus Heyl, Fabien Alet. Anomalous relaxation of density waves in a ring-exchange system. Phys.Rev.E, 2023, 107 (3), pp.034119. ⟨10.1103/PhysRevE.107.034119⟩. ⟨hal-03901564⟩
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