# Properties of the entanglement Hamiltonian for finite free-fermion chains

@article{Eisler2018PropertiesOT,
title={Properties of the entanglement Hamiltonian for finite free-fermion chains},
author={Viktor Eisler and Ingo Peschel},
journal={Journal of Statistical Mechanics: Theory and Experiment},
year={2018}
}
• Published 30 April 2018
• Physics
• Journal of Statistical Mechanics: Theory and Experiment
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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