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Entanglement over the rainbow

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arxiv 1503.02695 v2 pith:A7WN2NC3 submitted 2015-03-09 quant-ph cond-mat.str-elhep-th

Giovanni Ramírez , Javier Rodríguez-Laguna , Germán Sierra This is my paper · ORCID
classification quant-phcond-mat.str-elhep-th
keywords rainbowchainentanglementinhomogeneitystateareablackcalled
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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.

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  1. Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials

    cond-mat.stat-mech 2025-05 conditional novelty 6.0 of 10

    For inhomogeneous free-boson chains, the leading entanglement entropy is (a*/6) log N, where a* is the scaling exponent of the region where the local potential vanishes.

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