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Analytical results for the entanglement Hamiltonian of a free-fermion chain

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arxiv 1703.08126 v2 pith:6EH4L5JZ submitted 2017-03-23 cond-mat.stat-mech

Viktor Eisler , Ingo Peschel This is my paper · ORCID
classification cond-mat.stat-mech
keywords chainentanglementfree-fermionhamiltonianresultsagreeanalyticalarbitrary
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abstract

We study the ground-state entanglement Hamiltonian for an interval of $N$ sites in a free-fermion chain with arbitrary filling. By relating it to a commuting operator, we find explicit expressions for its matrix elements in the large-$N$ limit. The results agree with numerical calculations and show that deviations from the conformal prediction persist even for large systems.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A critical state under weak measurement is not critical

    cond-mat.stat-mech 2024-11 accept novelty 7.0 of 10

    Weakly measured critical free fermions have a gapped and long-ranged entanglement Hamiltonian while preserving logarithmic entanglement entropy.

  2. Measurement-induced entanglement Hamiltonian

    cond-mat.stat-mech 2026-08 conditional novelty 6.0 of 10

    In a critical free-fermion chain, after partial projective measurements the entanglement Hamiltonian is a local grand-canonical operator: a measurement-independent inverse temperature times a local chemical potential ...

  3. Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials

    cond-mat.stat-mech 2025-05 conditional novelty 6.0 of 10

    For inhomogeneous free-boson chains, the leading entanglement entropy is (a*/6) log N, where a* is the scaling exponent of the region where the local potential vanishes.

  4. 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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