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arXiv · 1910.12082

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

Marcin Szyniszewski·Henning Schomerus
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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.

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BibTeXRIS

Marcin Szyniszewski, Henning Schomerus. 2019-10-26. Random-matrix perspective on many-body entanglement with a finite localization length. https://doi.org/10.1103/physrevresearch.2.032010

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