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Properties of the entanglement Hamiltonian for finite free-fermion chains

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arxiv 1805.00078 v3 pith:GDOC5WZD submitted 2018-04-30 cond-mat.stat-mech

Viktor Eisler , Ingo Peschel This is my paper · ORCID
classification cond-mat.stat-mech
keywords chainsentanglementhamiltonianpropertiescarriescaseschaincommutation
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the entanglement Hamiltonian for fermionic hopping models on rings and open chains and determine single-particle spectra, eigenfunctions and the form in real space. For the chain, we find a commuting operator as for the ring and compare with its properties in both cases. In particular, a scaling relation between the eigenvalues is found for large systems. We also show how the commutation property carries over to the critical transverse Ising model.

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  1. Modular evolutions and causality in two-dimensional conformal field theory

    hep-th 2025-01 accept novelty 6.0 of 10

    Modular flows preserve causal spacetime ordering inside causal diamonds, but a bilocal modular Hamiltonian can violate local commutativity at spacelike distances.

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