Anomalous relaxation of density waves in a ring-exchange system
- URL: http://arxiv.org/abs/2211.16788v2
- Date: Sat, 15 Apr 2023 09:06:48 GMT
- Title: Anomalous relaxation of density waves in a ring-exchange system
- Authors: Pranay Patil, Markus Heyl, Fabien Alet
- Abstract summary: We present the analysis of the slowing down exhibited by dynamics of a ring-exchange model on a square lattice.
We find the preservation of coarse-grained memory of initial state of density-wave types for unexpectedly long times.
We argue that its slow melting plays a crucial role in the slowing-down mechanism.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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 and more generally for dipole moment conserving models
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