The interplay between frustration and entanglement in many-body systems

Author(s)
S. M. Giampaolo, K. Simonov, A. Capolupo, B. C. Hiesmayr
Abstract

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.

Organisation(s)
Particle Physics, Quantum Optics, Quantum Nanophysics and Quantum Information
External organisation(s)
Universidade Federal do Rio Grande do Norte, Università degli Studi di Salerno, Istituto Nazionale di Fisica Nucleare (INFN), Roma
Journal
Journal of Statistical Mechanics: Theory and Experiment
No. of pages
16
ISSN
1742-5468
DOI
https://doi.org/10.1088/1742-5468/aaa385
Publication date
02-2018
Peer reviewed
Yes
Austrian Fields of Science 2012
103025 Quantum mechanics, 103036 Theoretical physics
Keywords
Portal url
https://ucris.univie.ac.at/portal/en/publications/the-interplay-between-frustration-and-entanglement-in-manybody-systems(88f11c2f-b06e-4138-a5d3-08d17f4c59c9).html