Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals

Viktor Eisler*, Erik Tonni, Ingo Peschel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We consider free-fermion chains in the ground state and the entanglement Hamiltonian for a subsystem consisting of two separated intervals. In this case, one has a peculiar long-range hopping between the intervals in addition to the well-known and dominant short-range hopping. We show how the continuum expressions can be recovered from the lattice results for general filling and arbitrary intervals. We also discuss the closely related case of a single interval located at a certain distance from the end of a semi-infinite chain and the continuum limit for this problem. Finally, we show that for the double interval in the continuum a commuting operator exists which can be used to find the eigenstates.

Original languageEnglish
Article number083101
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number8
Publication statusPublished - 1 Aug 2022


  • conformal field theory
  • entanglement in extended quantum systems
  • solvable lattice models

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty


Dive into the research topics of 'Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals'. Together they form a unique fingerprint.

Cite this