Scaling of entanglement with distance between subsystems: detection of phase transitions in the t'-π-flux model
Abstract
The system-size scaling of bipartite entanglement can be used to detect phase transitions. We develop a related approach for strongly correlated electron models where large density matrices or large system size scaling are inaccessible. To this end, we demonstrate that phase transitions of various kinds are signaled by a sharp signature in the first- or second-order logarithmic derivatives of the negativity measuring entanglement between small clusters at varying distances. Crucially, we show how to mitigate the effect of quantum Monte Carlo noise at large distances when computing the negativity. Our focus is on the t'-π-flux Hubbard model using auxiliary-field quantum Monte Carlo simulations. It has the particular advantage of showing three distinct phase transitions in a single model: semimetal to band insulator, semimetal to antiferromagnetic Mott insulator, and a magnetic order-disorder transition belonging to the Gaussian, Gross-Neveu, and O(3) Wilson-Fisher universality classes, respectively.
Related
- Minimal Subsystems for Characterizing Genuine Multipartite Entanglement
- Long-distance device-independent quantum key distribution using single-photon entanglement
- Finite-size scaling theory of Rényi thermal entropy for second-order, first-order, and weakly first-order quantum phase transitions
- Scaling up multi-mode entanglement generated by mode swapping
- Synchronization transitions in ensembles of active particles with distance-dependent higher-order interactions
BibTeX
@misc{ulybyshev2026scaling,
title = {{Scaling of entanglement with distance between subsystems: detection of phase transitions in the $t'$-$π$-flux model}},
author = {Maksim Ulybyshev and Gergő Roósz and Gabriele Bellomia and Karsten Held and Fakher Assaad and Frederic Bippus},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23770},
eprint = {2610.23770},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23770},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Scaling of entanglement with distance between subsystems: detection of phase transitions in the t'-π-flux model
AU - Maksim Ulybyshev
AU - Gergő Roósz
AU - Gabriele Bellomia
AU - Karsten Held
AU - Fakher Assaad
AU - Frederic Bippus
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23770
UR - https://arxiv.org/abs/2610.23770
AB - The system-size scaling of bipartite entanglement can be used to detect phase transitions. We develop a related approach for strongly correlated electron models where large density matrices or large system size scaling are inaccessible. To this end, we demonstrate that phase transitions of various kinds are signaled by a sharp signature in the first- or second-order logarithmic derivatives of the negativity measuring entanglement between small clusters at varying distances. Crucially, we show how to mitigate the effect of quantum Monte Carlo noise at large distances when computing the negativity. Our focus is on the t'-π-flux Hubbard model using auxiliary-field quantum Monte Carlo simulations. It has the particular advantage of showing three distinct phase transitions in a single model: semimetal to band insulator, semimetal to antiferromagnetic Mott insulator, and a magnetic order-disorder transition belonging to the Gaussian, Gross-Neveu, and O(3) Wilson-Fisher universality classes, respectively.
ER -