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arXiv · 1810.04178

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

Giuseppe De Tomasi·Frank Pollmann·Markus Heyl
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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.

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Giuseppe De Tomasi, Frank Pollmann, Markus Heyl. 2019-06-30. Solving efficiently the dynamics of many-body localized systems at strong disorder. https://doi.org/10.1103/physrevb.99.241114

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