Entanglement Hamiltonians for non-critical quantum chains

Viktor Eisler*, Giuseppe Di Giulio, Erik Tonni, Ingo Peschel

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

We study the entanglement Hamiltonian for finite intervals in infinite quantum chains for two different free-particle systems: coupled harmonic oscillators and fermionic hopping models with dimerization. Working in the ground state, the entanglement Hamiltonian describes again free bosons or fermions and is obtained from the correlation functions via high-precision numerics for up to several hundred sites. Far away from criticality, the dominant on-site and nearest-neighbour terms have triangular profiles that can be understood from the analytical results for a half-infinite interval. Near criticality, the longer-range couplings, although small, lead to a more complex picture. A comparison between the exact spectra and entanglement entropies and those resulting from the dominant terms in the Hamiltonian is also reported.

Original languageEnglish
Article number103102
Number of pages30
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2020
Issue number10
DOIs
Publication statusPublished - Oct 2020

Keywords

  • entanglement in extended quantum systems

ASJC Scopus subject areas

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

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