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<p>Non-Hermitian non-Abelian lattice gauge fields exhibit noncommutative and nonunitary gauge structures, giving rise to novel geometric and topological phenomena. However, their experimental realization has remained elusive. Here, we implement a synthetic nonreciprocal SU(2) gauge field in a one-dimensional spinful chain by employing electric circuit networks with highly tunable asymmetric couplings. We observe a non-Hermitian non-Abelian Aharonov-Bohm effect in a single plaquette, where the final states exhibit an uncorrelated response under non-conjugated loop operations. Furthermore, we reveal the high-order nontrivial braiding and spin-hybridized unidirectional and bidirectional skin states, which are distinctive features of non-Hermitian non-Abelian lattice gauge fields. Our work paves the way for exploring rich non-Abelian phenomena in open systems and offers a versatile platform to implement exotic synthetic gauge fields.</p>

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Non-Hermitian non-Abelian lattice gauge fields in electrical circuits

  • 期刊论文

  • 发表日期：

    2026年5月22日

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  • Chaohua Wu,
  • Xuewei Zhang,
  • Zhenxing Cui,
  • Mou Yan,
  • Gang Chen

摘要

Non-Hermitian non-Abelian lattice gauge fields exhibit noncommutative and nonunitary gauge structures, giving rise to novel geometric and topological phenomena. However, their experimental realization has remained elusive. Here, we implement a synthetic nonreciprocal SU(2) gauge field in a one-dimensional spinful chain by employing electric circuit networks with highly tunable asymmetric couplings. We observe a non-Hermitian non-Abelian Aharonov-Bohm effect in a single plaquette, where the final states exhibit an uncorrelated response under non-conjugated loop operations. Furthermore, we reveal the high-order nontrivial braiding and spin-hybridized unidirectional and bidirectional skin states, which are distinctive features of non-Hermitian non-Abelian lattice gauge fields. Our work paves the way for exploring rich non-Abelian phenomena in open systems and offers a versatile platform to implement exotic synthetic gauge fields.