dorsal/arxiv
View SchemaCharacterizing quantum phase transitions by single qubit operations
| Authors | S. M. Giampaolo, F. Illuminati, S. De Siena |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604047 |
| URL | https://arxiv.org/abs/quant-ph/0604047 |
Abstract
We introduce observable quantities, borrowing from concepts of quantum information theory, for the characterization of quantum phase transitions in spin systems. These observables are uniquely defined in terms of single spin unitary operations. We define the energy gap between the ground state and the state produced by the action of a single-qubit local gate. We show that this static quantity involves only single-site expectations and two-point correlation functions on the ground state. We then discuss a dynamical local observable defined as the acceleration of quantum state evolution after performing an instaneous single-qubit perturbation on the ground state. This quantity involves three-point correlations as well. We show that both the static and the dynamical observables detect and characterize completely quantum critical points in a class of spin systems.
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"date_created": "2026-03-02T18:02:27.564000Z",
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"abstract": "We introduce observable quantities, borrowing from concepts of quantum\ninformation theory, for the characterization of quantum phase transitions in\nspin systems. These observables are uniquely defined in terms of single spin\nunitary operations. We define the energy gap between the ground state and the\nstate produced by the action of a single-qubit local gate. We show that this\nstatic quantity involves only single-site expectations and two-point\ncorrelation functions on the ground state. We then discuss a dynamical local\nobservable defined as the acceleration of quantum state evolution after\nperforming an instaneous single-qubit perturbation on the ground state. This\nquantity involves three-point correlations as well. We show that both the\nstatic and the dynamical observables detect and characterize completely quantum\ncritical points in a class of spin systems.",
"arxiv_id": "quant-ph/0604047",
"authors": [
"S. M. Giampaolo",
"F. Illuminati",
"S. De Siena"
],
"categories": [
"quant-ph",
"cond-mat.other"
],
"title": "Characterizing quantum phase transitions by single qubit operations",
"url": "https://arxiv.org/abs/quant-ph/0604047"
},
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"execution_id": "515dfc00-e815-484b-b3e5-92c76ff03722",
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