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Entanglement over the rainbow

Submitted on: Wed, 11/03/2015 - 01:26 — ramirez
Preprint info
IFT Number: 
IFT-UAM/CSIC-15-027
Arxiv URL: 
http://arxiv.org/abs/1503.02695
Entanglement over the rainbow, Giovanni Ramírez; Javier Rodríguez-Laguna; Germán Sierra , Volume 2015, p.P06002, (2015)

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.

ISI Journal: 
ISI publication