Entanglement over the rainbow. (1st June 2015)

• Record Type: Journal Article
• Authors: Ramírez, Giovanni; Rodríguez-Laguna, Javier; Sierra, Germán
• Is Part Of: Journal of statistical mechanics. (2015:Jun.)
• Publication Date: 2015-06-01
• Subjects: 2; 2/050 -- 2/360 -- 2/115; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/06/P06002
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: In one dimension the area law for the entanglement entropy is violated maximally by the ground state of a strongly 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 thermo field 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.