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

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

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 gro...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2004-03, Vol.69 (3), Article 032303
Hauptverfasser: Haselgrove, Henry L., Nielsen, Michael A., Osborne, Tobias J.
Format: Artikel
Sprache:eng
Schlagworte:
ATOMIC AND MOLECULAR PHYSICS
CORRELATIONS
ENERGY GAP
EXCITED STATES
GROUND STATES
HAMILTONIANS
MANY-BODY PROBLEM
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.69.032303