Properties of the entanglement Hamiltonian for finite free-fermion chains

Eisler, Viktor; Peschel, Ingo

doi:10.1088/1742-5468/aace2b

Properties of the entanglement Hamiltonian for finite free-fermion chains

Apr 30, 2018

17 pages

Published in:

J.Stat.Mech. 1810 (2018) 10, 104001

Published: Oct 11, 2018

e-Print:

1805.00078 [cond-mat.stat-mech]

DOI:

10.1088/1742-5468/aace2b

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Abstract: (IOP)

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.

Note:

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

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