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

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Random-matrix perspective on many-body entanglement with a finite localization length. / Szyniszewski, Marcin; Schomerus, Henning.
In: Physical Review Research, Vol. 2, No. 3, 032010, 08.07.2020.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Szyniszewski M, Schomerus H. Random-matrix perspective on many-body entanglement with a finite localization length. Physical Review Research. 2020 Jul 8;2(3):032010. doi: 10.1103/PhysRevResearch.2.032010

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@article{aab8fcef6fdb406f9336714313e1b092,
title = "Random-matrix perspective on many-body entanglement with a finite localization length",
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.",
author = "Marcin Szyniszewski and Henning Schomerus",
year = "2020",
month = jul,
day = "8",
doi = "10.1103/PhysRevResearch.2.032010",
language = "English",
volume = "2",
journal = "Physical Review Research",
issn = "2643-1564",
publisher = "American Physical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Random-matrix perspective on many-body entanglement with a finite localization length

AU - Szyniszewski, Marcin

AU - Schomerus, Henning

PY - 2020/7/8

Y1 - 2020/7/8

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevResearch.2.032010

DO - 10.1103/PhysRevResearch.2.032010

M3 - Journal article

VL - 2

JO - Physical Review Research

JF - Physical Review Research

SN - 2643-1564

IS - 3

M1 - 032010

ER -