Microscopic Bipartition and Macroscopic Symmetry in a Rényi Entanglement Ensemble
Abstract
Universal information extracted from entanglement at a critical point is commonly associated with the long-distance properties of the bulk state, while microscopic details of a lattice bipartition are expected to be washed out under coarse graining. Counterintuitively, we show directly that such microscopic information can survive in the statistical ensemble that determines the second Rényi entropy and obviously change the physics there. Using quantum Monte Carlo simulations of the square-lattice J-Q3 model at the Néel--valence-bond-solid (VBS) transition, we measure magnetic and dimer order parameters in the Rényi-2 ensemble. For a standard axis-aligned bipartition, the VBS component perpendicular to the entanglement boundary remains finite in the thermodynamic extrapolation and is inequivalent to the parallel component, while the Néel order vanishes. For a 45∘ tilted bipartition, in contrast, the two VBS components remain equivalent within numerical accuracy. We interpret this contrast in terms of the Rényi twist defect: the two bipartitions have the same bulk theory but realize different microscopic defect symmetries. Our results demonstrate that lattice information invisible to the bulk continuum theory alone can remain active in the long-distance Rényi ensemble, providing a microscopic explanation for the strong bipartition dependence previously observed in entanglement studies of deconfined criticality.
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BibTeX
@misc{wang2026microscopic,
title = {{Microscopic Bipartition and Macroscopic Symmetry in a Rényi Entanglement Ensemble}},
author = {Zhe Wang and Dongxu Liu and Zheng Yan},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27587},
eprint = {2610.27587},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27587},
}
RIS
TY - UNPB
TI - Microscopic Bipartition and Macroscopic Symmetry in a Rényi Entanglement Ensemble
AU - Zhe Wang
AU - Dongxu Liu
AU - Zheng Yan
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.27587
UR - https://arxiv.org/abs/2610.27587
AB - Universal information extracted from entanglement at a critical point is commonly associated with the long-distance properties of the bulk state, while microscopic details of a lattice bipartition are expected to be washed out under coarse graining. Counterintuitively, we show directly that such microscopic information can survive in the statistical ensemble that determines the second Rényi entropy and obviously change the physics there. Using quantum Monte Carlo simulations of the square-lattice J-Q_3 model at the Néel--valence-bond-solid (VBS) transition, we measure magnetic and dimer order parameters in the Rényi-2 ensemble. For a standard axis-aligned bipartition, the VBS component perpendicular to the entanglement boundary remains finite in the thermodynamic extrapolation and is inequivalent to the parallel component, while the Néel order vanishes. For a 45^∘ tilted bipartition, in contrast, the two VBS components remain equivalent within numerical accuracy. We interpret this contrast in terms of the Rényi twist defect: the two bipartitions have the same bulk theory but realize different microscopic defect symmetries. Our results demonstrate that lattice information invisible to the bulk continuum theory alone can remain active in the long-distance Rényi ensemble, providing a microscopic explanation for the strong bipartition dependence previously observed in entanglement studies of deconfined criticality.
ER -