Locality versus Fock-space structure in East-type models

Fuente: arXiv
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Main Author: Lazarides, Achilleas
Format: Preprint
Published: 2026
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author Lazarides, Achilleas
author_facet Lazarides, Achilleas
contents Local kinetic constraints in quantum many-body systems can generate slow dynamics or complete many-body localisation. Here we focus on a modification of the quantum East model: Inspired by random matrix theory, we randomise the connectivity in Fock space (rendering it nonlocal in real space) while preserving its organisation into neighbouring magnetisation sectors. We find that there is still a transition between two distinct phases, one delocalised and the other localised. We conclude that, for East-type constrained models, the essential ingredient is the structure of the graph in Fock space rather than geometric locality of spin flips.
format Preprint
id arxiv_https___arxiv_org_abs_2605_00091
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Locality versus Fock-space structure in East-type models
Lazarides, Achilleas
Disordered Systems and Neural Networks
Statistical Mechanics
Local kinetic constraints in quantum many-body systems can generate slow dynamics or complete many-body localisation. Here we focus on a modification of the quantum East model: Inspired by random matrix theory, we randomise the connectivity in Fock space (rendering it nonlocal in real space) while preserving its organisation into neighbouring magnetisation sectors. We find that there is still a transition between two distinct phases, one delocalised and the other localised. We conclude that, for East-type constrained models, the essential ingredient is the structure of the graph in Fock space rather than geometric locality of spin flips.
title Locality versus Fock-space structure in East-type models
topic Disordered Systems and Neural Networks
Statistical Mechanics
url https://arxiv.org/abs/2605.00091