Entanglement, correlations, and the energy gap in many-body quantum systems
Quantum Physics
2009-11-10 v1
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.
Cite
@article{arxiv.quant-ph/0308083,
title = {Entanglement, correlations, and the energy gap in many-body quantum systems},
author = {Henry L. Haselgrove and Michael A. Nielsen and Tobias J. Osborne},
journal= {arXiv preprint arXiv:quant-ph/0308083},
year = {2009}
}
Comments
12 pages