On the continuum limit of the entanglement Hamiltonian

Viktor Eisler, Erik Tonni, Ingo Peschel

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We consider the entanglement Hamiltonian for an interval in a chain of free fermions in its ground state and show that the lattice expression goes over into the conformal one if one includes the hopping to distant neighbours in the continuum limit. For an infinite chain, this can be done analytically for arbitrary fillings and is shown to be the consequence of the particular structure of the entanglement Hamiltonian, while for finite rings or temperatures the result is based on numerical calculations.
Original languageEnglish
Article number073101
JournalJournal of statistical mechanics - theory and experiment
Volume2019
DOIs
Publication statusPublished - 1 Jul 2019

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Continuum Limit
Entanglement
continuums
Finite Rings
Finite Temperature
Numerical Calculation
Fermions
Ground State
fermions
intervals
Interval
ground state
rings
Arbitrary
temperature
Temperature

Keywords

  • cond-mat.stat-mech
  • hep-th

Cite this

On the continuum limit of the entanglement Hamiltonian. / Eisler, Viktor; Tonni, Erik; Peschel, Ingo.

In: Journal of statistical mechanics - theory and experiment, Vol. 2019, 073101, 01.07.2019.

Research output: Contribution to journalArticleResearchpeer-review

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