# Global-to-local incompatibility, monogamy of entanglement, and ground-state dimerization: Theory and observability of quantum frustration in systems with competing interactions

@article{Giampaolo2015GlobaltolocalIM, title={Global-to-local incompatibility, monogamy of entanglement, and ground-state dimerization: Theory and observability of quantum frustration in systems with competing interactions}, author={Salvatore Marco Giampaolo and Beatrix C. Hiesmayr and Fabrizio Illuminati}, journal={Physical Review B}, year={2015}, volume={92}, pages={144406} }

INFN, Sezione di Napoli, Gruppo collegato di Salerno, I-84084 Fisciano (SA), Italy(Dated: January 19, 2015)Frustration in quantum many body systems is quantiﬁed by the degree of incompatibility between the lo-cal and global orders associated, respectively, to the ground states of the local interaction terms and the globalground state of the total many-body Hamiltonian. This universal measure is bounded from below by the ground-state bipartite block entanglement. For many-body Hamiltonians that…

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