Formulation of lattice gauge theories for quantum simulations

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Formulation of lattice gauge theories for quantum simulations. / Zohar, Erez; Burrello, Michele.

I: Physical Review D, Bind 91, Nr. 5, 054506, 01.03.2015.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Zohar, E & Burrello, M 2015, 'Formulation of lattice gauge theories for quantum simulations', Physical Review D, bind 91, nr. 5, 054506. https://doi.org/10.1103/PhysRevD.91.054506

APA

Zohar, E., & Burrello, M. (2015). Formulation of lattice gauge theories for quantum simulations. Physical Review D, 91(5), [054506]. https://doi.org/10.1103/PhysRevD.91.054506

Vancouver

Zohar E, Burrello M. Formulation of lattice gauge theories for quantum simulations. Physical Review D. 2015 mar. 1;91(5). 054506. https://doi.org/10.1103/PhysRevD.91.054506

Author

Zohar, Erez ; Burrello, Michele. / Formulation of lattice gauge theories for quantum simulations. I: Physical Review D. 2015 ; Bind 91, Nr. 5.

Bibtex

@article{4190e2b85be14b2399b77a65d4a5c40d,
title = "Formulation of lattice gauge theories for quantum simulations",
abstract = "We examine the Kogut-Susskind formulation of lattice gauge theories under the light of fermionic and bosonic degrees of freedom that provide a description useful to the development of quantum simulators of gauge-invariant models. We consider both discrete and continuous gauge groups and adopt a realistic multicomponent Fock space for the definition of matter degrees of freedom. In particular, we express the Hamiltonian of the gauge theory and the Gauss law in terms of Fock operators. The gauge fields are described in two different bases based on either group elements or group representations. This formulation allows for a natural scheme to achieve a consistent truncation of the Hilbert space for continuous groups, and provides helpful tools to study the connections of gauge theories with topological quantum double and string-net models for discrete groups. Several examples, including the case of the discrete D3 gauge group, are presented.",
keywords = "Lattice gauge theory",
author = "Erez Zohar and Michele Burrello",
year = "2015",
month = mar,
day = "1",
doi = "10.1103/PhysRevD.91.054506",
language = "English",
volume = "91",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Formulation of lattice gauge theories for quantum simulations

AU - Zohar, Erez

AU - Burrello, Michele

PY - 2015/3/1

Y1 - 2015/3/1

N2 - We examine the Kogut-Susskind formulation of lattice gauge theories under the light of fermionic and bosonic degrees of freedom that provide a description useful to the development of quantum simulators of gauge-invariant models. We consider both discrete and continuous gauge groups and adopt a realistic multicomponent Fock space for the definition of matter degrees of freedom. In particular, we express the Hamiltonian of the gauge theory and the Gauss law in terms of Fock operators. The gauge fields are described in two different bases based on either group elements or group representations. This formulation allows for a natural scheme to achieve a consistent truncation of the Hilbert space for continuous groups, and provides helpful tools to study the connections of gauge theories with topological quantum double and string-net models for discrete groups. Several examples, including the case of the discrete D3 gauge group, are presented.

AB - We examine the Kogut-Susskind formulation of lattice gauge theories under the light of fermionic and bosonic degrees of freedom that provide a description useful to the development of quantum simulators of gauge-invariant models. We consider both discrete and continuous gauge groups and adopt a realistic multicomponent Fock space for the definition of matter degrees of freedom. In particular, we express the Hamiltonian of the gauge theory and the Gauss law in terms of Fock operators. The gauge fields are described in two different bases based on either group elements or group representations. This formulation allows for a natural scheme to achieve a consistent truncation of the Hilbert space for continuous groups, and provides helpful tools to study the connections of gauge theories with topological quantum double and string-net models for discrete groups. Several examples, including the case of the discrete D3 gauge group, are presented.

KW - Lattice gauge theory

U2 - 10.1103/PhysRevD.91.054506

DO - 10.1103/PhysRevD.91.054506

M3 - Journal article

VL - 91

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 5

M1 - 054506

ER -

ID: 184607225