Formulation of lattice gauge theories for quantum simulations
Research output: Contribution to journal › Journal article › Research › peer-review
Standard
Formulation of lattice gauge theories for quantum simulations. / Zohar, Erez; Burrello, Michele.
In: Physical Review D, Vol. 91, No. 5, 054506, 01.03.2015.Research output: Contribution to journal › Journal article › Research › peer-review
Harvard
APA
Vancouver
Author
Bibtex
}
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