Frustration, entanglement, and correlations in quantum many-body systems

Autor(en)

U. Marzolino, S. M. Giampaolo, F. Illuminati

Abstrakt

We derive an exact lower bound to a universal measure of frustration in degenerate ground states of quantum many-body systems. The bound results in the sum of two contributions: entanglement and classical correlations arising from local measurements. We show that average frustration properties are completely determined by the behavior of the maximally mixed ground state. We identify sufficient conditions for a quantum spin system to saturate the bound, and for models with twofold degeneracy we prove that average and local frustration coincide.

Organisation(en)

Teilchenphysik

Externe Organisation(en)

Albert-Ludwigs-Universität Freiburg, Università degli Studi di Salerno, Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia

Journal

Physical Review A

Band

88

Anzahl der Seiten

5

ISSN

1050-2947

DOI

https://doi.org/10.1103/PhysRevA.88.020301

Publikationsdatum

08-2013

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103034 Teilchenphysik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/frustration-entanglement-and-correlations-in-quantum-manybody-systems(83a7e600-e666-4407-83ca-7b8e283265ef).html