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Four interacting spins: addition of angular momenta, spin-spin correlation functions, and entanglement

2023/08/29 by Raimundo R. dos Santos, Santos, Raimundo R. dos, Lucas Alves de Brito Oliveira +3
Chemistry · #Molecular spectroscopy and chirality #Advanced NMR Techniques and Applications

paper · pdf · doi:10.48550/arxiv.2308.16204

Abstract

We study four spins on a ring coupled through competing Heisenberg interactions between nearest neighbors, J, and next-nearest neighbors, J2≡αJ>0. The spectrum is obtained in a simple way by using the rules for addition of 4 angular momenta. This allows us to follow the evolution of the ground state with α, characterized by level crossings and by analyses of spin-spin correlation functions. Further insight is obtained by examining the entanglement between different parts of the system: we observe that the entanglement entropy is strongly dependent on how the system is partitioned.

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