Observation of glassy dynamics in a disordered quantum spin system

We study the low temperature dynamics of a two dimensional spin system, which displays glassiness despite the absence of disorder or frustration, and is an explicit realization of the “hierarchically constrained dynamics” scenario for glassy systems. We solve exactly the statics of the model, and study in detail the dynamical behavior of one-time and two-time quantities.

AIP conference proceedingsJan 1, 20011 citation

Observation of glassy dynamics in a disordered quantum spin system

Adrien Signoles, Titus Franz, Renato Ferracini Alves, Martin Gärttner, S. Whitlock, G. Zürn, Matthias Weidemüller

Published Sep 26, 2019• 0 citations

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We numerically study out-of-equilibrium dynamics in a family of Heisenberg models with

1/{r}^{6}

power-law interactions and positional disorder. Using the semiclassical 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.