More on the rainbow chain: entanglement, space-time geometry and thermal states
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Publication:5267833
DOI10.1088/1751-8121/AA6268zbMATH Open1366.81258arXiv1611.08559OpenAlexW2963176046MaRDI QIDQ5267833
Author name not available (Why is that?)
Publication date: 13 June 2017
Published in: (Search for Journal in Brave)
Abstract: The rainbow chain is an inhomogenous exactly solvable local spin model that, in its ground state, displays a half-chain entanglement entropy growing linearly with the system size. Although many exact results about the rainbow chain are known, the structure of the underlying quantum field theory has not yet been unraveled. Here we show that the universal scaling features of this model are captured by a massless Dirac fermion in a curved space-time with constant negative curvature ( is the amplitude of the inhomogeneity). This identification allows us to use recently developed techniques to study inhomogeneous conformal systems and to analytically characterise the entanglement entropies of more general bipartitions. These results are carefully tested against exact numerical calculations. Finally, we study the entanglement entropies of the rainbow chain in thermal states, and find that there is a non-trivial interplay between the rainbow effective temperature and the physical temperature .
Full work available at URL: https://arxiv.org/abs/1611.08559
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