Properties of the entanglement Hamiltonian for finite free-fermion chains

  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},
  • V. Eisler, I. Peschel
  • 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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