Properties of the entanglement Hamiltonian for finite free-fermion chains

Viktor Eisler, Ingo Peschel

Research output: Contribution to journalArticleResearchpeer-review

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.
Original languageEnglish
Article number104001
JournalJournal of statistical mechanics - theory and experiment
Volume2018
DOIs
Publication statusPublished - 10 Oct 2018

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Entanglement
Fermions
fermions
Ring
Scaling Relations
rings
commutation
Ising model
Ising Model
Eigenfunctions
eigenvectors
Transverse
eigenvalues
Eigenvalue
scaling
operators
Operator
Model
Form
Eigenvalues

Keywords

  • cond-mat.stat-mech

Cite this

Properties of the entanglement Hamiltonian for finite free-fermion chains. / Eisler, Viktor; Peschel, Ingo.

In: Journal of statistical mechanics - theory and experiment, Vol. 2018, 104001, 10.10.2018.

Research output: Contribution to journalArticleResearchpeer-review

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