Non-Abelian gauge invariance from dynamical decoupling

Valentin Kasper, Torsten V. Zache, Fred Jendrzejewski, Maciej Lewenstein, Erez Zohar

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

Lattice gauge theories are fundamental to such distinct fields as particle physics, condensed matter or quantum information theory. The recent progress in the control of artificial quantum systems already allows for studying Abelian lattice gauge theories in tabletop experiments. However, the realization of non-Abelian models remains challenging. Here, we employ a coherent quantum control scheme to enforce non-Abelian gauge invariance, and discuss this idea in detail for a one-dimensional SU(2) lattice gauge system. We comment on how to extend our scheme to other non-Abelian gauge symmetries and higher spatial dimensions. Because of its wide applicability, the presented coherent control scheme provides a promising route for the quantum simulation of non-Abelian lattice gauge theories.

Original languageAmerican English
Article number014506
JournalPhysical Review D
Volume107
Issue number1
DOIs
StatePublished - 1 Jan 2023

Bibliographical note

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© 2023 American Physical Society.

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