Solving efficiently the dynamics of many-body localized systems at strong disorder

TL;DR

This paper presents a new efficient method for studying the dynamics of many-body localized systems under strong disorder, enabling analysis of quantum information and correlations in large systems over time.

Contribution

The authors introduce a novel computational approach that accurately simulates real-time evolution in MBL systems with polynomial effort, independent of time scale.

Findings

Method reproduces real-time dynamics qualitatively and quantitatively

Applicable to 1D and 2D MBL systems

Provides strategies for systematic accuracy improvement

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.