Temporal multilayer structures in discrete physical systems towards arbitrary-dimensional non-Abelian Aharonov-Bohm interferences

Zhaohui Dong, Xiaoxiong Wu, Yiwen Yang, Penghong Yu, Xianfeng Chen and Luqi Yuan ()
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Zhaohui Dong: Shanghai Jiao Tong University
Xiaoxiong Wu: Shanghai Jiao Tong University
Yiwen Yang: Shanghai Jiao Tong University
Penghong Yu: Shanghai Jiao Tong University
Xianfeng Chen: Shanghai Jiao Tong University
Luqi Yuan: Shanghai Jiao Tong University

Nature Communications, 2024, vol. 15, issue 1, 1-12

Abstract: Abstract Temporal modulation recently draws great attentions in wave manipulations, with which one can introduce the concept of temporal multilayer structure, a temporal counterpart of spatially multilayer configurations. This kind of multilayer structure holds temporal interfaces in the time domain, which provides additional flexibility in temporal operations. Here we take this opportunity and propose to simulate a non-Abelian gauge field with a temporal multilayer structure in the discrete physical system. Two basic temporal operations, i.e., the folding/unfolding operation and the phase shift operation are used to design such a temporal multilayer structure, which hence can support noncommutative operations to realize the non-Abelian Aharonov-Bohm interference in the time domain. A two-/three-dimensional non-Abelian gauge field can be built, which may be further extended to higher dimensions. Our work therefore provides a unique platform enabling generalization of non-Abelian physics to arbitrary dimensions and offers a method for wave manipulations with temporal band engineering.

Date: 2024
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DOI: 10.1038/s41467-024-51712-z

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