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

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.

21 pages, 8 figures. Dedicated to John Cardy on the occasion of his 70th birthday. v2: minor corrections, published version

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