Emergent hydrodynamics in non-equilibrium quantum systems
Abstract
A tremendous amount of recent attention has focused on characterizing the dynamical properties of periodically driven many-body systems. Here, we use a novel numerical tool termed `density matrix truncation' (DMT) to investigate the late-time dynamics of large-scale Floquet systems. We find that DMT accurately captures two essential pieces of Floquet physics, namely, prethermalization and late-time heating to infinite temperature. Moreover, by implementing a spatially inhomogeneous drive, we demonstrate that an interplay between Floquet heating and diffusive transport is crucial to understanding the system's dynamics. Finally, we show that DMT also provides a powerful method for quantitatively capturing the emergence of hydrodynamics in static (un-driven) Hamiltonians; in particular, by simulating the dynamics of generic, large-scale quantum spin chains (up to L = 100), we are able to directly extract the energy diffusion coefficient.
Cite
@article{arxiv.1902.01859,
title = {Emergent hydrodynamics in non-equilibrium quantum systems},
author = {Bingtian Ye and Francisco Machado and Christopher David White and Roger S. K. Mong and Norman Y. Yao},
journal= {arXiv preprint arXiv:1902.01859},
year = {2021}
}
Comments
6+21 pages, 4+23 figures