Stark many-body localization: Evidence for Hilbert-space shattering
Disordered Systems and Neural Networks
2021-03-10 v2 Quantum Gases
Strongly Correlated Electrons
Abstract
We study the dynamics of an interacting quantum spin chain under the application of a linearly increasing field. This model exhibits a type of localization known as Stark many-body localization. The dynamics shows a strong dependence on the initial conditions, indicating that the system violates the conventional ("strong") eigenstate thermalization hypothesis at any finite gradient of the field. This is contrary to reports of a numerically observed ergodic phase. Therefore, the localization is crucially distinct from disorder-driven many-body localization, in agreement with recent predictions on the basis of localization via Hilbert-space shattering.
Cite
@article{arxiv.2012.13722,
title = {Stark many-body localization: Evidence for Hilbert-space shattering},
author = {Elmer V. H. Doggen and Igor V. Gornyi and Dmitry G. Polyakov},
journal= {arXiv preprint arXiv:2012.13722},
year = {2021}
}
Comments
7 pages, 4 figures, supplementary with 2 pages, 1 figure