On the continuum limit of the entanglement Hamiltonian

Viktor Eisler; Erik Tonni; Ingo Peschel

doi:10.1088/1742-5468/ab1f0e

On the continuum limit of the entanglement Hamiltonian

Viktor Eisler, Erik Tonni, Ingo Peschel

Institute of Theoretical and Computational Physics (5150)

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

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.

Original language	English
Article number	073101
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2019
DOIs	https://doi.org/10.1088/1742-5468/ab1f0e
Publication status	Published - 1 Jul 2019

Keywords

cond-mat.stat-mech
hep-th

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10.1088/1742-5468/ab1f0e

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 = "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. ",

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AU - Peschel, Ingo

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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

M1 - 073101

ER -

On the continuum limit of the entanglement Hamiltonian

Abstract

Keywords

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Projects

FWF-Verschränkungen - Quantum fronts and entaglement driven by inhomogeneities

Cite this