On the continuum limit of the entanglement Hamiltonian

Viktor Eisler, Erik Tonni, Ingo Peschel

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

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.
Originalspracheenglisch
Aufsatznummer073101
FachzeitschriftJournal of statistical mechanics - theory and experiment
Jahrgang2019
DOIs
PublikationsstatusVeröffentlicht - 1 Jul 2019

Fingerprint

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

Schlagwörter

    Dies zitieren

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

    in: Journal of statistical mechanics - theory and experiment, Jahrgang 2019, 073101, 01.07.2019.

    Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

    @article{1754b7254865420ea5a071aa143ba60b,
    title = "On the continuum limit of the entanglement Hamiltonian",
    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.",
    keywords = "cond-mat.stat-mech, hep-th",
    author = "Viktor Eisler and Erik Tonni and Ingo Peschel",
    year = "2019",
    month = "7",
    day = "1",
    doi = "10.1088/1742-5468/ab1f0e",
    language = "English",
    volume = "2019",
    journal = "Journal of statistical mechanics - theory and experiment",
    issn = "1742-5468",
    publisher = "IOP Publishing Ltd.",

    }

    TY - JOUR

    T1 - On the continuum limit of the entanglement Hamiltonian

    AU - Eisler, Viktor

    AU - Tonni, Erik

    AU - Peschel, Ingo

    PY - 2019/7/1

    Y1 - 2019/7/1

    N2 - 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.

    AB - 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.

    KW - cond-mat.stat-mech

    KW - hep-th

    U2 - 10.1088/1742-5468/ab1f0e

    DO - 10.1088/1742-5468/ab1f0e

    M3 - Article

    VL - 2019

    JO - Journal of statistical mechanics - theory and experiment

    JF - Journal of statistical mechanics - theory and experiment

    SN - 1742-5468

    M1 - 073101

    ER -