dorsal/arxiv
View SchemaEntanglement, correlations, and the energy gap in many-body quantum systems
| Authors | Henry L. Haselgrove, Michael A. Nielsen, Tobias J. Osborne |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308083 |
| URL | https://arxiv.org/abs/quant-ph/0308083 |
| DOI | 10.1103/PhysRevA.69.032303 |
| Journal | Phys. Rev. A 69 (3), 032303 (2004) |
Abstract
What correlations are present in the ground state of a many-body Hamiltonian? We study the relationship between ground-state correlations, especially entanglement, and the energy gap between the ground and first excited states. We prove several general inequalities which show quantitatively that ground-state correlations between systems not directly coupled by the Hamiltonian necessarily imply a small energy gap.
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"abstract": "What correlations are present in the ground state of a many-body Hamiltonian?\nWe study the relationship between ground-state correlations, especially\nentanglement, and the energy gap between the ground and first excited states.\nWe prove several general inequalities which show quantitatively that\nground-state correlations between systems not directly coupled by the\nHamiltonian necessarily imply a small energy gap.",
"arxiv_id": "quant-ph/0308083",
"authors": [
"Henry L. Haselgrove",
"Michael A. Nielsen",
"Tobias J. Osborne"
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"doi": "10.1103/PhysRevA.69.032303",
"journal_ref": "Phys. Rev. A 69 (3), 032303 (2004)",
"title": "Entanglement, correlations, and the energy gap in many-body quantum systems",
"url": "https://arxiv.org/abs/quant-ph/0308083"
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