dorsal/arxiv
View SchemaLocal Measures of Entanglement and Critical Exponents at Quantum Phase Transitions
| Authors | L. Campos Venuti, C. Degli Esposti Boschi, G. Morandi, M. Roncaglia, A. Scaramucci |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0508236 |
| URL | https://arxiv.org/abs/quant-ph/0508236 |
| DOI | 10.1103/PhysRevA.73.010303 |
| Journal | Phys. Rev. A 73, 010303(R) (2006) |
Abstract
We discuss on general grounds some local indicators of entanglement, that have been proposed recently for the study and classification of quantum phase transitions. In particular, we focus on the capability of entanglement in detecting quantum critical points and related exponents. We show that the singularities observed in all local measures of entanglement are a consequence of the scaling hypothesis. In particular, as every non-trivial local observable is expected to be singular at criticality, we single out the most relevant one (in the renormalization group sense) as the best-suited for finite-size scaling analysis. The proposed method is checked on a couple of one-dimensional spin systems. The present analysis shows that the singular behaviour of local measures of entanglement is fully encompassed in the usual statistical mechanics framework.
{
"annotation_id": "2dfff5a8-b5e4-4988-a0eb-626e881ad20b",
"date_created": "2026-03-02T18:02:20.582000Z",
"date_modified": "2026-03-02T18:02:20.582000Z",
"file_hash": "f2436a33a70fb52494ee76edd19321a338825b9661761c957ed9090012fe7b16",
"private": false,
"record": {
"abstract": "We discuss on general grounds some local indicators of entanglement, that\nhave been proposed recently for the study and classification of quantum phase\ntransitions. In particular, we focus on the capability of entanglement in\ndetecting quantum critical points and related exponents. We show that the\nsingularities observed in all local measures of entanglement are a consequence\nof the scaling hypothesis. In particular, as every non-trivial local observable\nis expected to be singular at criticality, we single out the most relevant one\n(in the renormalization group sense) as the best-suited for finite-size scaling\nanalysis. The proposed method is checked on a couple of one-dimensional spin\nsystems. The present analysis shows that the singular behaviour of local\nmeasures of entanglement is fully encompassed in the usual statistical\nmechanics framework.",
"arxiv_id": "quant-ph/0508236",
"authors": [
"L. Campos Venuti",
"C. Degli Esposti Boschi",
"G. Morandi",
"M. Roncaglia",
"A. Scaramucci"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevA.73.010303",
"journal_ref": "Phys. Rev. A 73, 010303(R) (2006)",
"title": "Local Measures of Entanglement and Critical Exponents at Quantum Phase Transitions",
"url": "https://arxiv.org/abs/quant-ph/0508236"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e911e9bf-e751-4cc3-99d5-26f0e1e96a9a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}