Violation of the Bell inequality in quantum critical random spin-$1/2$ chains
Quantum Physics
2018-09-05 v2 Disordered Systems and Neural Networks
Statistical Mechanics
Abstract
We investigate the entanglement and nonlocality properties of two random XX spin-1/2 critical chains, in order to better understand the role of breaking translational invariance to achieve nonlocal states in critical systems. We show that breaking translational invariance is a necessary but not sufficient condition for nonlocality, as the random chains remain in a local ground state up to a small degree of randomness. Furthermore, we demonstrate that the random dimer model does not have the same nonlocality properties of the translationally invariant chain, even though they share the same universality class for a certain range of randomness.
Keywords
Cite
@article{arxiv.1711.10005,
title = {Violation of the Bell inequality in quantum critical random spin-$1/2$ chains},
author = {João C. Getelina and Thiago R. de Oliveira and José A. Hoyos},
journal= {arXiv preprint arXiv:1711.10005},
year = {2018}
}
Comments
6 pages, 8 figures