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

Viktor Eisler; Ingo Peschel

doi:10.1088/1751-8121/aa76b5

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

Viktor Eisler^*, Ingo Peschel

^*Corresponding author for this work

Institute of Theoretical and Computational Physics (5150)

Research output: Contribution to journal › Article › peer-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 language	English
Article number	284003
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	50
Issue number	28
DOIs	https://doi.org/10.1088/1751-8121/aa76b5
Publication status	Published - 21 Jun 2017

Keywords

cond-mat.stat-mech

Access to Document

10.1088/1751-8121/aa76b5

170308126v2Submitted manuscript, 348 KBLicence: CC BY 4.0

FWF-ECOFFEQ - Entanglement and correlations far from equillibrium
Eisler, V.
1/09/15 → 31/08/18
Project: Research project

Cite this

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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",

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AU - Peschel, Ingo

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PY - 2017/6/21

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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

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DO - 10.1088/1751-8121/aa76b5

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JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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ER -

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

Abstract

Keywords

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Projects

FWF-ECOFFEQ - Entanglement and correlations far from equillibrium

Cite this