{
  "abstract": "Quantum critical lattice models retain universal information about their lattice symmetries beyond the bulk data of their infrared conformal field theory (CFT). We probe these lattice symmetry remnants by comparing the spatial and temporal entanglement of two Euclidean-evolved states from the same critical model. At large length scales, short-range initial states define conformal boundaries and boundary CFT (BCFT) organizes the universal low-lying entanglement spectrum. In the temporal construction, the translation invariance along Euclidean time requires a uniform state. Moreover, the time slice $δτ\\rightarrow 0$ forces a split-gate basis, resulting in a new regular uniform symmetry-preserving transfer representation. For the Ising and Potts chains, onsite symmetries result in the same BCFT structure in the spatial and temporal constructions. The spin-$1/2$ XXZ chain instead realizes the Lieb--Schultz--Mattis (LSM) constraint differently in the two Euclidean quantization. A $U(1)$-preserving spatial state has a doubled unit cell and inequivalent entanglement cuts, whereas the temporal state remains uniform and alternates between translation relation related Dirichlet sectors with integer and half-integer compact-boson zero modes. Breaking $U(1)$ removes the zero mode and the alternation. Thus microscopic symmetry and anomaly data remain visible in universal entanglement by constraining the boundary realization of the infrared CFT.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31676",
  "author_total": 2,
  "authors": [
    {
      "name": "Xiao-Han Yang"
    },
    {
      "name": "Rui-Zhen Huang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3j7s7eabs1qt6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31676",
  "fulltext_url": null,
  "id": "3j7s7eabs1qt6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31676",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7223669556",
  "pdf_url": "https://arxiv.org/pdf/2610.31676",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3j7s7eabs1qt6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.31676",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31676"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Lattice Symmetry Remnants in Spatial and Temporal Entanglement of Quantum Critical Spin Chains",
  "title_text": "Lattice Symmetry Remnants in Spatial and Temporal Entanglement of Quantum Critical Spin Chains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/3j7s7eabs1qt6",
  "venue": "arXiv",
  "versions": []
}