Abelian combinatorial gauge symmetry

Yu, Hongji; Green, Dmitry; Ruckenstein, Andrei E.; Chamon, Claudio

doi:10.21468/SciPostPhysCore.7.1.014

Title: Abelian combinatorial gauge symmetry

Journal Article · 25 March 2024 · SciPost Physics Core

DOI: https://doi.org/10.21468/SciPostPhysCore.7.1.014 · OSTI ID:2328651

Yu, Hongji;

; Ruckenstein, Andrei E.;

Combinatorial gauge symmetry is a principle that allows us to construct lattice gauge theories with two key and distinguishing properties: a) only one- and two-body interactions are needed; and b) the symmetry is exact rather than emergent in an effective or perturbative limit. The ground state exhibits topological order for a range of parameters. This paper is a generalization of the construction to any finite Abelian group. In addition to the general mathematical construction, we present a physical implementation in superconducting wire arrays, which offers a route to the experimental realization of lattice gauge theories with static Hamiltonians.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-06ER46316

OSTI ID:: 2328651

Journal Information:: SciPost Physics Core, Journal Name: SciPost Physics Core Journal Issue: 1 Vol. 7; ISSN 2666-9366

Publisher:: Stichting SciPostCopyright Statement

Country of Publication:: Netherlands

Language:: English

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