Entanglement over the rainbow
Quantum Physics
2015-06-09 v2 Strongly Correlated Electrons
High Energy Physics - Theory
Abstract
In one dimension the area law for the entanglement entropy is violated maximally by the ground state of a strong inhomogeneous spin chain, the so called concentric singlet phase (CSP), that looks like a rainbow connecting the two halves of the chain. In this paper we show that, in the weak inhomogeneity limit, the rainbow state is a thermofield double of a conformal field theory with a temperature proportional to the inhomogeneity parameter. This result suggests some relation of the CSP with black holes. Finally, we propose an extension of the model to higher dimensions.
Keywords
Cite
@article{arxiv.1503.02695,
title = {Entanglement over the rainbow},
author = {Giovanni Ramírez and Javier Rodríguez-Laguna and Germán Sierra},
journal= {arXiv preprint arXiv:1503.02695},
year = {2015}
}