dorsal/arxiv
View SchemaDecay of Loschmidt Echo Enhanced by Quantum Criticality
| Authors | H. T. Quan, Z. Song, X. F. Liu, P. Zanardi, C. P. Sun |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509007 |
| URL | https://arxiv.org/abs/quant-ph/0509007 |
| DOI | 10.1103/PhysRevLett.96.140604 |
| Journal | Phys. Rev. Lett. 96, 140604 (2006) |
Abstract
We study the transition of a quantum system $S $ from a pure state to a mixed one, which is induced by the quantum criticality of the surrounding system $E$ coupled to it. To characterize this transition quantitatively, we carefully examine the behavior of the Loschmidt echo (LE) of $E$ modelled as an Ising model in a transverse field, which behaves as a measuring apparatus in quantum measurement. It is found that the quantum critical behavior of $E$ strongly affects its capability of enhancing the decay of LE: near the critical value of the transverse field entailing the happening of quantum phase transition, the off-diagonal elements of the reduced density matrix describing $S$ vanish sharply.
{
"annotation_id": "bc68364f-f183-49e3-bd51-cfe6959d50a8",
"date_created": "2026-03-02T18:02:19.905000Z",
"date_modified": "2026-03-02T18:02:19.905000Z",
"file_hash": "6b7b939b123e7643ba5786e494ffb192bd8be4c272f9e436516c188d23a599de",
"private": false,
"record": {
"abstract": "We study the transition of a quantum system $S $ from a pure state to a mixed\none, which is induced by the quantum criticality of the surrounding system $E$\ncoupled to it. To characterize this transition quantitatively, we carefully\nexamine the behavior of the Loschmidt echo (LE) of $E$ modelled as an Ising\nmodel in a transverse field, which behaves as a measuring apparatus in quantum\nmeasurement. It is found that the quantum critical behavior of $E$ strongly\naffects its capability of enhancing the decay of LE: near the critical value of\nthe transverse field entailing the happening of quantum phase transition, the\noff-diagonal elements of the reduced density matrix describing $S$ vanish\nsharply.",
"arxiv_id": "quant-ph/0509007",
"authors": [
"H. T. Quan",
"Z. Song",
"X. F. Liu",
"P. Zanardi",
"C. P. Sun"
],
"categories": [
"quant-ph",
"cond-mat.str-el"
],
"doi": "10.1103/PhysRevLett.96.140604",
"journal_ref": "Phys. Rev. Lett. 96, 140604 (2006)",
"title": "Decay of Loschmidt Echo Enhanced by Quantum Criticality",
"url": "https://arxiv.org/abs/quant-ph/0509007"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "09bdfe77-d6db-41d7-844e-23f2f1e3e0c1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}