Rényi entanglement entropies for the compactified massless boson with open boundary conditions
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Publication:2283450
DOI10.1007/JHEP10(2019)141zbMATH Open1427.81067arXiv1909.00806MaRDI QIDQ2283450
Author name not available (Why is that?)
Publication date: 2 January 2020
Published in: (Search for Journal in Brave)
Abstract: We investigate the R'enyi entanglement entropies for the one-dimensional massless free boson compactified on a circle, which describes the low energy sector of several interacting many-body 1d systems (Luttinger Liquid). We focus on systems on a finite segment with open boundary conditions and possible inhomogeneities in the couplings. We provide expressions for the R'enyi entropies of integer indices in terms of Fredholm determinant-like expressions. Within the homogeneous case, we reduce the problem to the solution of linear integral equations and the computation of Riemann Theta functions. We mainly focus on a single interval in the middle of the system, but results for generic bipartitions are given as well.
Full work available at URL: https://arxiv.org/abs/1909.00806
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