Properties of the entanglement Hamiltonian for finite free-fermion chains

Abstract

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.

19 pages, 7 figures, v2: as published. Dedicated to the memory of Vladimir Rittenberg

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