Properties of the entanglement Hamiltonian for finite free-fermion chains

Viktor Eisler; Ingo Peschel

doi:10.1088/1742-5468/aace2b

Properties of the entanglement Hamiltonian for finite free-fermion chains

Viktor Eisler, Ingo Peschel

Institute of Theoretical and Computational Physics (5150)

Research output: Contribution to journal › Article › peer-review

Abstract

We study the entanglement Hamiltonian for fermionic hopping models on rings and open chains and determine single-particle spectra, eigenfunctions and the form in real space. For the chain, we find a commuting operator as for the ring and compare with its properties in both cases. In particular, a scaling relation between the eigenvalues is found for large systems. We also show how the commutation property carries over to the critical transverse Ising model.

Original language	English
Article number	104001
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2018
DOIs	https://doi.org/10.1088/1742-5468/aace2b
Publication status	Published - 10 Oct 2018

Keywords

cond-mat.stat-mech

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10.1088/1742-5468/aace2b

FWF-Verschränkungen - Quantum fronts and entaglement driven by inhomogeneities
Eisler, V.
1/09/17 → 31/07/21
Project: Research project

Cite this

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title = "Properties of the entanglement Hamiltonian for finite free-fermion chains",

abstract = "We study the entanglement Hamiltonian for fermionic hopping models on rings and open chains and determine single-particle spectra, eigenfunctions and the form in real space. For the chain, we find a commuting operator as for the ring and compare with its properties in both cases. In particular, a scaling relation between the eigenvalues is found for large systems. We also show how the commutation property carries over to the critical transverse Ising model.",

keywords = "cond-mat.stat-mech",

author = "Viktor Eisler and Ingo Peschel",

note = "19 pages, 7 figures, v2: as published. Dedicated to the memory of Vladimir Rittenberg",

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AU - Peschel, Ingo

N1 - 19 pages, 7 figures, v2: as published. Dedicated to the memory of Vladimir Rittenberg

PY - 2018/10/10

Y1 - 2018/10/10

N2 - We study the entanglement Hamiltonian for fermionic hopping models on rings and open chains and determine single-particle spectra, eigenfunctions and the form in real space. For the chain, we find a commuting operator as for the ring and compare with its properties in both cases. In particular, a scaling relation between the eigenvalues is found for large systems. We also show how the commutation property carries over to the critical transverse Ising model.

AB - We study the entanglement Hamiltonian for fermionic hopping models on rings and open chains and determine single-particle spectra, eigenfunctions and the form in real space. For the chain, we find a commuting operator as for the ring and compare with its properties in both cases. In particular, a scaling relation between the eigenvalues is found for large systems. We also show how the commutation property carries over to the critical transverse Ising model.

KW - cond-mat.stat-mech

U2 - 10.1088/1742-5468/aace2b

DO - 10.1088/1742-5468/aace2b

M3 - Article

VL - 2018

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

M1 - 104001

ER -

Properties of the entanglement Hamiltonian for finite free-fermion chains

Abstract

Keywords

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Projects

FWF-Verschränkungen - Quantum fronts and entaglement driven by inhomogeneities

Cite this