arXiv:1302.6251 [quant-ph]AbstractReferencesReviewsResources
Frustration, Entanglement, and Correlations in Quantum Many Body Systems
U. Marzolino, S. M. Giampaolo, F. Illuminati
Published 2013-02-25, updated 2013-04-30Version 2
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.
Comments: 9 pages, 1 figure
Journal: Phys. Rev. A 88, 020301(R) (2013)
Categories: quant-ph, cond-mat.stat-mech
Keywords: entanglement, correlations, local frustration coincide, degenerate ground states, quantum many-body systems
Tags: journal article
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