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

Author(s)
U. Marzolino, S. M. Giampaolo, F. Illuminati
Abstract

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(s)
Particle Physics
External organisation(s)
Albert-Ludwigs-Universität Freiburg, Università degli Studi di Salerno, National Interuniversity Consortium for the Physical Sciences of Matter
Journal
Physical Review A
Volume
88
No. of pages
5
ISSN
1050-2947
DOI
https://doi.org/10.1103/PhysRevA.88.020301
Publication date
08-2013
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics, 103034 Particle physics
Keywords
Portal url
https://ucris.univie.ac.at/portal/en/publications/frustration-entanglement-and-correlations-in-quantum-manybody-systems(83a7e600-e666-4407-83ca-7b8e283265ef).html