Entanglement dualities in supersymmetry

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Entanglement dualities in supersymmetry. / Jonsson, Robert H.; Hackl, Lucas; Roychowdhury, Krishanu.

I: Physical Review Research, Bind 3, Nr. 2, 023213, 2021.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Jonsson, RH, Hackl, L & Roychowdhury, K 2021, 'Entanglement dualities in supersymmetry', Physical Review Research, bind 3, nr. 2, 023213. https://doi.org/10.1103/PhysRevResearch.3.023213

APA

Jonsson, R. H., Hackl, L., & Roychowdhury, K. (2021). Entanglement dualities in supersymmetry. Physical Review Research, 3(2), [023213]. https://doi.org/10.1103/PhysRevResearch.3.023213

Vancouver

Jonsson RH, Hackl L, Roychowdhury K. Entanglement dualities in supersymmetry. Physical Review Research. 2021;3(2). 023213. https://doi.org/10.1103/PhysRevResearch.3.023213

Author

Jonsson, Robert H. ; Hackl, Lucas ; Roychowdhury, Krishanu. / Entanglement dualities in supersymmetry. I: Physical Review Research. 2021 ; Bind 3, Nr. 2.

Bibtex

@article{40fcc03974a141fe8e659916bcafdd64,
title = "Entanglement dualities in supersymmetry",
abstract = "We derive a general relation between the bosonic and fermionic entanglement in the ground states of supersymmetric quadratic Hamiltonians. For this, we construct canonical identifications between bosonic and fermionic subsystems. Our derivation relies on a unified framework to describe both bosonic and fermionic Gaussian states in terms of so-called linear complex structures J. The resulting dualities apply to the full entanglement spectrum between the bosonic and the fermionic systems, such that the von Neumann entropy and arbitrary Renyi entropies can be related. We illustrate our findings in one- and two-dimensional systems, including the paradigmatic Kitaev honeycomb model. While typically supersymmetry preserves features like area law scaling of the entanglement entropies on either side, we find a peculiar phenomenon, namely, an amplified scaling of the entanglement entropy ({"}super area law{"}) in bosonic subsystems when the dual fermionic subsystems develop almost maximally entangled modes.",
author = "Jonsson, {Robert H.} and Lucas Hackl and Krishanu Roychowdhury",
note = "Publisher Copyright: {\textcopyright} 2021 authors. Published by the American Physical Society.",
year = "2021",
doi = "10.1103/PhysRevResearch.3.023213",
language = "English",
volume = "3",
journal = "Physical Review Research",
issn = "2643-1564",
publisher = "AMER PHYSICAL SOC",
number = "2",

}

RIS

TY - JOUR

T1 - Entanglement dualities in supersymmetry

AU - Jonsson, Robert H.

AU - Hackl, Lucas

AU - Roychowdhury, Krishanu

N1 - Publisher Copyright: © 2021 authors. Published by the American Physical Society.

PY - 2021

Y1 - 2021

N2 - We derive a general relation between the bosonic and fermionic entanglement in the ground states of supersymmetric quadratic Hamiltonians. For this, we construct canonical identifications between bosonic and fermionic subsystems. Our derivation relies on a unified framework to describe both bosonic and fermionic Gaussian states in terms of so-called linear complex structures J. The resulting dualities apply to the full entanglement spectrum between the bosonic and the fermionic systems, such that the von Neumann entropy and arbitrary Renyi entropies can be related. We illustrate our findings in one- and two-dimensional systems, including the paradigmatic Kitaev honeycomb model. While typically supersymmetry preserves features like area law scaling of the entanglement entropies on either side, we find a peculiar phenomenon, namely, an amplified scaling of the entanglement entropy ("super area law") in bosonic subsystems when the dual fermionic subsystems develop almost maximally entangled modes.

AB - We derive a general relation between the bosonic and fermionic entanglement in the ground states of supersymmetric quadratic Hamiltonians. For this, we construct canonical identifications between bosonic and fermionic subsystems. Our derivation relies on a unified framework to describe both bosonic and fermionic Gaussian states in terms of so-called linear complex structures J. The resulting dualities apply to the full entanglement spectrum between the bosonic and the fermionic systems, such that the von Neumann entropy and arbitrary Renyi entropies can be related. We illustrate our findings in one- and two-dimensional systems, including the paradigmatic Kitaev honeycomb model. While typically supersymmetry preserves features like area law scaling of the entanglement entropies on either side, we find a peculiar phenomenon, namely, an amplified scaling of the entanglement entropy ("super area law") in bosonic subsystems when the dual fermionic subsystems develop almost maximally entangled modes.

UR - http://www.scopus.com/inward/record.url?scp=85115719539&partnerID=8YFLogxK

U2 - 10.1103/PhysRevResearch.3.023213

DO - 10.1103/PhysRevResearch.3.023213

M3 - Journal article

AN - SCOPUS:85115719539

VL - 3

JO - Physical Review Research

JF - Physical Review Research

SN - 2643-1564

IS - 2

M1 - 023213

ER -

ID: 284199683