Random-matrix perspective on many-body entanglement with a finite localization length

Szyniszewski, Marcin and Schomerus, Henning (2020) Random-matrix perspective on many-body entanglement with a finite localization length. Physical Review Research, 2 (3): 032010. ISSN 2643-1564

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Abstract

We provide a simple and predictive random-matrix framework that naturally generalizes Page's law for ergodic many-body systems by incorporating a finite entanglement localization length. By comparing a highly structured one-dimensional model to a completely unstructured model and a physical system, we uncover a remarkable degree of universality, suggesting that the effective localization length is a universal combination of model parameters up until it drops down to the microscopic scale.