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The interplay between frustration and entanglement in many-body systems

Giampaolo, Salvatore Marco; Simonov, K; Capolupo, A.; Hiesmayr, B (2018) The interplay between frustration and entanglement in many-body systems. Journal of Statistical Mechanics: Theory and Experiment . ISSN 1742-5468

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Frustration of classical many-body systems can be used to distinguish ferromagnetic interactions from anti-ferromagnetic ones via the Toulouse conditions. A quantum version of the Toulouse conditions provides a similar classification based on the local ground states. We compute the global ground states for a family of models with Heisenberg-like interactions and analyse their behaviour with respect to frustration, entanglement and degeneracy. For that we develop analytical and numerical analysing tools capable of quantifying the interplay between those three quantities. We find that the quantum Toulouse conditions provide a proper classification, however, refinements can be found. Our results show how the different local ground states affect the interplay and pave the way for further generalisation and possible applications to other quantum many-body systems.

Item Type: Article
Additional Information: SMG acknowledges financial support from the Ministry of Science, Technology and Innovation of Brazil, KS acknowledges the Austrian Science Fund (FWF-P26783), AC acknowledges partial financial support from MIUR and INFN and BCH Austrian Science Fund (FWF-P23627).
Uncontrolled Keywords: frustration; spin models
NATURAL SCIENCES > Physics > Condensed Matter Physics
Depositing User: Salvatore Marco Giampaolo
Date Deposited: 30 Apr 2020 06:20
DOI: 10.1088/1742-5468/aaa385

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