Projected Entangled Pair States with non-Abelian gauge symmetries: An SU(2) study

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Projected Entangled Pair States with non-Abelian gauge symmetries: An SU(2) study. / Zohar, Erez; Wahl, Thorsten B.; Burrello, Michele; Cirac, J. Ignacio.

In: Annals of Physics, Vol. 374, 01.11.2016, p. 84-137.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Zohar, E, Wahl, TB, Burrello, M & Cirac, JI 2016, 'Projected Entangled Pair States with non-Abelian gauge symmetries: An SU(2) study', Annals of Physics, vol. 374, pp. 84-137. https://doi.org/10.1016/j.aop.2016.08.008

APA

Zohar, E., Wahl, T. B., Burrello, M., & Cirac, J. I. (2016). Projected Entangled Pair States with non-Abelian gauge symmetries: An SU(2) study. Annals of Physics, 374, 84-137. https://doi.org/10.1016/j.aop.2016.08.008

Vancouver

Zohar E, Wahl TB, Burrello M, Cirac JI. Projected Entangled Pair States with non-Abelian gauge symmetries: An SU(2) study. Annals of Physics. 2016 Nov 1;374:84-137. https://doi.org/10.1016/j.aop.2016.08.008

Author

Zohar, Erez ; Wahl, Thorsten B. ; Burrello, Michele ; Cirac, J. Ignacio. / Projected Entangled Pair States with non-Abelian gauge symmetries: An SU(2) study. In: Annals of Physics. 2016 ; Vol. 374. pp. 84-137.

Bibtex

@article{fc240f7e655649c2861abe39c113e902,
title = "Projected Entangled Pair States with non-Abelian gauge symmetries: An SU(2) study",
abstract = "Over the last years, Projected Entangled Pair States have demonstrated great power for the study of many body systems, as they naturally describe ground states of gapped many body Hamiltonians, and suggest a constructive way to encode and classify their symmetries. The PEPS study is not only limited to global symmetries, but has also been extended and applied for local symmetries, allowing to use them for the description of states in lattice gauge theories. In this paper we discuss PEPS with a local, SU(2) gauge symmetry, and demonstrate the use of PEPS features and techniques for the study of a simple family of many body states with a non-Abelian gauge symmetry. We present, in particular, the construction of fermionic PEPS able to describe both two-color fermionic matter and the degrees of freedom of an SU(2) gauge field with a suitable truncation.",
keywords = "Tensor network states, Projected Entangled Pair States, Lattice gauge theories",
author = "Erez Zohar and Wahl, {Thorsten B.} and Michele Burrello and Cirac, {J. Ignacio}",
year = "2016",
month = nov,
day = "1",
doi = "10.1016/j.aop.2016.08.008",
language = "English",
volume = "374",
pages = "84--137",
journal = "Annals of Physics",
issn = "0003-4916",
publisher = "Academic Press",

}

RIS

TY - JOUR

T1 - Projected Entangled Pair States with non-Abelian gauge symmetries: An SU(2) study

AU - Zohar, Erez

AU - Wahl, Thorsten B.

AU - Burrello, Michele

AU - Cirac, J. Ignacio

PY - 2016/11/1

Y1 - 2016/11/1

N2 - Over the last years, Projected Entangled Pair States have demonstrated great power for the study of many body systems, as they naturally describe ground states of gapped many body Hamiltonians, and suggest a constructive way to encode and classify their symmetries. The PEPS study is not only limited to global symmetries, but has also been extended and applied for local symmetries, allowing to use them for the description of states in lattice gauge theories. In this paper we discuss PEPS with a local, SU(2) gauge symmetry, and demonstrate the use of PEPS features and techniques for the study of a simple family of many body states with a non-Abelian gauge symmetry. We present, in particular, the construction of fermionic PEPS able to describe both two-color fermionic matter and the degrees of freedom of an SU(2) gauge field with a suitable truncation.

AB - Over the last years, Projected Entangled Pair States have demonstrated great power for the study of many body systems, as they naturally describe ground states of gapped many body Hamiltonians, and suggest a constructive way to encode and classify their symmetries. The PEPS study is not only limited to global symmetries, but has also been extended and applied for local symmetries, allowing to use them for the description of states in lattice gauge theories. In this paper we discuss PEPS with a local, SU(2) gauge symmetry, and demonstrate the use of PEPS features and techniques for the study of a simple family of many body states with a non-Abelian gauge symmetry. We present, in particular, the construction of fermionic PEPS able to describe both two-color fermionic matter and the degrees of freedom of an SU(2) gauge field with a suitable truncation.

KW - Tensor network states

KW - Projected Entangled Pair States

KW - Lattice gauge theories

U2 - 10.1016/j.aop.2016.08.008

DO - 10.1016/j.aop.2016.08.008

M3 - Journal article

VL - 374

SP - 84

EP - 137

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

ER -

ID: 184607094