On the continuum limit of the entanglement Hamiltonian

Abstract

We consider the entanglement Hamiltonian for an interval in a chain of free fermions in its ground state and show that the lattice expression goes over into the conformal one if one includes the hopping to distant neighbours in the continuum limit. For an infinite chain, this can be done analytically for arbitrary fillings and is shown to be the consequence of the particular structure of the entanglement Hamiltonian, while for finite rings or temperatures the result is based on numerical calculations.

24 pages, 2 figures, v2: small changes, v3: as published

References in corpus (6)

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• Towards a derivation of holographic entanglement entropy
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Cited by in corpus (24)

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• Shaping contours of entanglement islands in BCFT
• The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
• Lattice Bisognano-Wichmann modular Hamiltonian in critical quantum spin chains
• Exact hydrodynamic description of symmetry-resolved Rényi entropies after a quantum quench
• On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field
• Entanglement and negativity Hamiltonians for the massless Dirac field on the half line
• Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals
• Entanglement Hamiltonian in the non-Hermitian SSH model
• Modular conjugations in 2D conformal field theory and holographic bit threads
• Entanglement Hamiltonians and the quasiparticle picture
• Entanglement entropies of an interval for the massless scalar field in the presence of a boundary
• Modular Hamiltonian for de Sitter diamonds
• Subsystem complexity after a local quantum quench
• Meson content of entanglement spectra after integrable and nonintegrable quantum quenches
• Relevant long-range interaction of the entanglement Hamiltonian emerges from a short-range gapped system
• Aspects of quantum information in finite density field theory
• Entanglement in non-critical inhomogeneous quantum chains
• Entanglement Hamiltonian of a nonrelativistic Fermi gas
• Entanglement Hamiltonian of Interacting Systems: Local Temperature Approximation and Beyond
• On the Bisognano-Wichmann entanglement Hamiltonian of nonrelativistic fermions
• Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes
• Entanglement Hamiltonian during a domain wall melting in the free Fermi chain
• Synthetic horizons in an atomic chain: Horizon-induced effects and connections to quantum Hall systems