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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 2 Pith papers

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

  1. 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 ...

  2. 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.

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