Work

Entanglement, correlations, and the energy gap in many-body quantum systems

Year: 2004

Type: article

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.

Source: Physical Review A

DOI: 10.1103/physreva.69.032303

Authors: Henry L. Haselgrove, Michael A. Nielsen, Tobias J. Osborne

Institutions: California Institute of Technology, Defence Science and Technology Group, The University of Queensland, University of Bristol

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: National Institute of Neurological Disorders and Stroke

Award: MRI-compatible concentric tube robot for intracerebral hemorrhage