Analytical results for the entanglement Hamiltonian of a free-fermion chain

Viktor Eisler, Ingo Peschel

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We study the ground-state entanglement Hamiltonian for an interval of $N$ sites in a free-fermion chain with arbitrary filling. By relating it to a commuting operator, we find explicit expressions for its matrix elements in the large-$N$ limit. The results agree with numerical calculations and show that deviations from the conformal prediction persist even for large systems.
Original languageEnglish
Article number284003
JournalJournal of physics / A
Volume50
Publication statusPublished - 21 Jun 2017

Fingerprint

Hamiltonians
Fermions
Entanglement
Numerical Calculation
Ground state
Ground State
Deviation
fermions
intervals
deviation
operators
Interval
ground state
Prediction
Arbitrary
matrices
Operator
predictions

Keywords

  • cond-mat.stat-mech

Cite this

Analytical results for the entanglement Hamiltonian of a free-fermion chain. / Eisler, Viktor; Peschel, Ingo.

In: Journal of physics / A, Vol. 50, 284003, 21.06.2017.

Research output: Contribution to journalArticleResearchpeer-review

@article{8dbf8d4551cd4fe292cb21a65d7f3928,
title = "Analytical results for the entanglement Hamiltonian of a free-fermion chain",
abstract = "We study the ground-state entanglement Hamiltonian for an interval of $N$ sites in a free-fermion chain with arbitrary filling. By relating it to a commuting operator, we find explicit expressions for its matrix elements in the large-$N$ limit. The results agree with numerical calculations and show that deviations from the conformal prediction persist even for large systems.",
keywords = "cond-mat.stat-mech",
author = "Viktor Eisler and Ingo Peschel",
note = "21 pages, 8 figures. Dedicated to John Cardy on the occasion of his 70th birthday. v2: minor corrections, published version",
year = "2017",
month = "6",
day = "21",
language = "English",
volume = "50",
journal = "Journal of physics / A",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",

}

TY - JOUR

T1 - Analytical results for the entanglement Hamiltonian of a free-fermion chain

AU - Eisler, Viktor

AU - Peschel, Ingo

N1 - 21 pages, 8 figures. Dedicated to John Cardy on the occasion of his 70th birthday. v2: minor corrections, published version

PY - 2017/6/21

Y1 - 2017/6/21

N2 - We study the ground-state entanglement Hamiltonian for an interval of $N$ sites in a free-fermion chain with arbitrary filling. By relating it to a commuting operator, we find explicit expressions for its matrix elements in the large-$N$ limit. The results agree with numerical calculations and show that deviations from the conformal prediction persist even for large systems.

AB - We study the ground-state entanglement Hamiltonian for an interval of $N$ sites in a free-fermion chain with arbitrary filling. By relating it to a commuting operator, we find explicit expressions for its matrix elements in the large-$N$ limit. The results agree with numerical calculations and show that deviations from the conformal prediction persist even for large systems.

KW - cond-mat.stat-mech

M3 - Article

VL - 50

JO - Journal of physics / A

JF - Journal of physics / A

SN - 1751-8113

M1 - 284003

ER -