On entanglement Hamiltonians of an interval in massless harmonic chains

2019/11/17 by Giuseppe Di Giulio, Erik Tonni · 55 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Conformal map #Dirichlet boundary condition #Geometry #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Model Reduction and Neural Networks #Physics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Scalar (mathematics) #Scalar field #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1088/1742-5468/ab7129

published in Journal of Statistical Mechanics Theory and Experiment 2020(3), 033102 (Institute of Physics) · 41 pages, 18 figures

arxiv created 2019/11/17 · openalex publication_date 2020/03/01 · arxiv updated 2020/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Abstract We study the continuum limit of the entanglement Hamiltonians of a block of consecutive sites in massless harmonic chains. This block is either in the chain on the infinite line or at the beginning of a chain on the semi-infinite line with Dirichlet boundary conditions imposed at its origin. The entanglement Hamiltonians of the interval predicted by conformal field theory (CFT) for the massless scalar field are obtained in the continuum limit. We also study the corresponding entanglement spectra, and the numerical results for the ratios of the gaps are compatible with the operator content of the boundary CFT of a massless scalar field with Neumann boundary conditions imposed along the boundaries introduced around the entangling points by the regularisation procedure.

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