Arresting classical many-body chaos by kinetic constraints
Abstract
We investigate the effect of kinetic constraints on classical many-body chaos in a translationally-invariant Heisenberg spin chain using a classical counterpart of the out-of-time-ordered correlator (OTOC). The strength of the constraint drives a 'dynamical phase transition' separating a delocalised phase, where the classical OTOC propagates ballistically, from a localised phase, where the OTOC does not propagate at all and the entire system freezes. This is unexpected given that all spins configurations are dynamically connected to each other. We show that localisation arises due to the dynamical formation of frozen islands, contiguous segments of spins immobile due to the constraints, dominating over the melting of such islands.
Keywords
Cite
@article{arxiv.2202.11726,
title = {Arresting classical many-body chaos by kinetic constraints},
author = {Aydin Deger and Sthitadhi Roy and Achilleas Lazarides},
journal= {arXiv preprint arXiv:2202.11726},
year = {2022}
}
Comments
6 pages, 4 figures + Supplementary Material (2 pages, 2 figures), version published in Phys. Rev. Lett