A1 Refereed original research article in a scientific journal
Emergent entanglement structures and self-similarity in quantum spin chains
Authors: Sokolov Boris, Rossi Matteo AC, García-Pérez Guillermo, Maniscalco Sabrina
Publisher: ROYAL SOC
Publication year: 2022
Journal: Philosophical Transactions A: Mathematical, Physical and Engineering Sciences
Journal name in source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Journal acronym: PHILOS T R SOC A
Article number: 20200421
Volume: 380
Issue: 2227
Number of pages: 17
ISSN: 1364-503X
eISSN: 1471-2962
DOI: https://doi.org/10.1098/rsta.2020.0421
Web address : https://royalsocietypublishing.org/doi/10.1098/rsta.2020.0421
Preprint address: https://arxiv.org/abs/2007.06989
We introduce an experimentally accessible network representation for many-body quantum states based on entanglement between all pairs of its constituents. We illustrate the power of this representation by applying it to a paradigmatic spin chain model, the XX model, and showing that it brings to light new phenomena. The analysis of these entanglement networks reveals that the gradual establishment of quasi-long range order is accompanied by a symmetry regarding single-spin concurrence distributions, as well as by instabilities in the network topology. Moreover, we identify the existence of emergent entanglement structures, spatially localized communities enforced by the global symmetry of the system that can be revealed by model-agnostic community detection algorithms. The network representation further unveils the existence of structural classes and a cyclic self-similarity in the state, which we conjecture to be intimately linked to the community structure. Our results demonstrate that the use of tools and concepts from complex network theory enables the discovery, understanding and description of new physical phenomena even in models studied for decades.This article is part of the theme issue 'Emergent phenomena in complex physical and socio-technical systems: from cells to societies'.
