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PreprintarXiv licencearXiv

Corner entanglement scaling with projected entangled pair states

  • Chloé Van Bastelaere
  • Rui-Zhen Huang
  • Laurens Vanderstraeten
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Abstract

Entanglement scaling provides a powerful probe of universal properties at quantum critical points. In two dimensions, contributions originating from a corner-shaped bipartition exhibit a universal scaling, which is determined by the underlying conformal field theory. We develop a method to extract this corner entanglement entropy from projected entangled pair states directly in the thermodynamic limit. When applied to models at a quantum critical point, we show that the corner contribution exhibits scaling with the effective correlation length, in agreement with the hypothesis of finite-entanglement scaling. Our results for the corner coefficients are consistent with other methods, demonstrating the efficiency of our method for diagnosing strongly-correlated quantum critical points in two dimensions.

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Cite

BibTeXRIS
BibTeX
@misc{bastelaere2026corner,
  title = {{Corner entanglement scaling with projected entangled pair states}},
  author = {Chloé Van Bastelaere and Rui-Zhen Huang and Laurens Vanderstraeten},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.20020},
  eprint = {2609.20020},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.20020},
}
RIS
TY  - UNPB
TI  - Corner entanglement scaling with projected entangled pair states
AU  - Chloé Van Bastelaere
AU  - Rui-Zhen Huang
AU  - Laurens Vanderstraeten
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.20020
UR  - https://arxiv.org/abs/2609.20020
AB  - Entanglement scaling provides a powerful probe of universal properties at quantum critical points. In two dimensions, contributions originating from a corner-shaped bipartition exhibit a universal scaling, which is determined by the underlying conformal field theory. We develop a method to extract this corner entanglement entropy from projected entangled pair states directly in the thermodynamic limit. When applied to models at a quantum critical point, we show that the corner contribution exhibits scaling with the effective correlation length, in agreement with the hypothesis of finite-entanglement scaling. Our results for the corner coefficients are consistent with other methods, demonstrating the efficiency of our method for diagnosing strongly-correlated quantum critical points in two dimensions.
ER  -