Formulation of lattice gauge theories for quantum simulations

Erez Zohar, Michele Burrello

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115 Scopus citations


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.

Original languageAmerican English
Article number054506
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number5
StatePublished - 16 Mar 2015
Externally publishedYes

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Publisher Copyright:
© 2015 American Physical Society.


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