Solving efficiently the dynamics of many-body localized systems at strong disorder
Disordered Systems and Neural Networks
2019-07-03 v2
Abstract
We introduce a method to efficiently study the dynamical properties of many-body localized systems in the regime of strong disorder and weak interactions. Our method reproduces qualitatively and quantitatively the real-time evolution with a polynomial effort in system size and independent of the desired time scales. We use our method to study quantum information propagation, correlation functions, and temporal fluctuations in one- and two-dimensional MBL systems. Moreover, we outline strategies for a further systematic improvement of the accuracy and we point out relations of our method to recent attempts to simulate the real-time dynamics of quantum many-body systems in classical or artificial neural networks.
Keywords
Cite
@article{arxiv.1810.04178,
title = {Solving efficiently the dynamics of many-body localized systems at strong disorder},
author = {Giuseppe De Tomasi and Frank Pollmann and Markus Heyl},
journal= {arXiv preprint arXiv:1810.04178},
year = {2019}
}