dorsal/arxiv
View SchemaFinite size mean-field models
| Authors | M. Fannes, C. Vandenplas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605216 |
| URL | https://arxiv.org/abs/quant-ph/0605216 |
| DOI | 10.1088/0305-4470/39/45/001 |
Abstract
We characterize the two-site marginals of exchangeable states of a system of quantum spins in terms of a simple positivity condition. This result is used in two applications. We first show that the distance between two-site marginals of permutation invariant states on N spins and exchangeable states is of order 1/N. The second application relates the mean ground state energy of a mean-field model of composite spins interacting through a product pair interaction with the mean ground state energies of the components.
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"abstract": "We characterize the two-site marginals of exchangeable states of a system of\nquantum spins in terms of a simple positivity condition. This result is used in\ntwo applications. We first show that the distance between two-site marginals of\npermutation invariant states on N spins and exchangeable states is of order\n1/N. The second application relates the mean ground state energy of a\nmean-field model of composite spins interacting through a product pair\ninteraction with the mean ground state energies of the components.",
"arxiv_id": "quant-ph/0605216",
"authors": [
"M. Fannes",
"C. Vandenplas"
],
"categories": [
"quant-ph"
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"doi": "10.1088/0305-4470/39/45/001",
"title": "Finite size mean-field models",
"url": "https://arxiv.org/abs/quant-ph/0605216"
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