Semiclassical simulations predict glassy dynamics for disordered Heisenberg models
Abstract
We numerically study out-of-equilibrium dynamics in a family of Heisenberg models with power-law interactions and positional disorder. Using the semi-classical discrete truncated Wigner approximation (dTWA) method, we investigate the time evolution of the magnetization and ensemble-averaged single-spin purity for a strongly disordered system after initializing the system in an out-of-equilibrium state. We find that both quantities display robust glassy behavior for almost any value of the anisotropy parameter of the Heisenberg Hamiltonian. Furthermore, a systematic analysis allows us to quantitatively show that, for all the scenarios considered, the stretch power lies close to the one analytically obtained in the Ising limit. This indicates that glassy relaxation behavior occurs widely in disordered quantum spin systems, independent of the particular symmetries and integrability of the Hamiltonian.
Cite
@article{arxiv.2107.13314,
title = {Semiclassical simulations predict glassy dynamics for disordered Heisenberg models},
author = {Philipp Schultzen and Titus Franz and Clément Hainaut and Sebastian Geier and Andre Salzinger and Annika Tebben and Gerhard Zürn and Martin Gärttner and Matthias Weidemüller},
journal= {arXiv preprint arXiv:2107.13314},
year = {2022}
}