Emergent entanglement structures and self-similarity in quantum spin chains

Boris Sokolov*, Matteo A.C. Rossi, Guillermo García-Pérez, Sabrina Maniscalco

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)

Abstract

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.2022 The Author(s) Published by the Royal Society. All rights reserved.

Original languageEnglish
Article number20200421
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume380
Issue number2227
DOIs
Publication statusPublished - 11 Jul 2022
MoE publication typeA1 Journal article-refereed

Keywords

  • emergence
  • entanglement
  • self-similarity
  • XX model

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