TY - JOUR
T1 - Observation of non-Abelian Anderson localization and transition in topolectrical circuits
AU - Wang, Haiteng
AU - Zhang, Weixuan
AU - Sun, Houjun
AU - Zhang, Xiangdong
N1 - Publisher Copyright:
© 2023 American Physical Society.
PY - 2023/10/1
Y1 - 2023/10/1
N2 - Anderson localization, which originates from the wave interference between multiple-scattering paths, has been widely explored in quantum and classical systems with disordered Abelian gauge potentials. Recently, the interplay between disorder and non-Abelian gauge fields has been theoretically investigated, revealing non-Abelian Anderson localization and transition without Abelian analogy. Due to the limitation on engineering non-Abelian gauge potentials with disorder, the experimental observation of non-Abelian Anderson phenomena is still lacking. Here, we report on the experimental realization of non-Abelian Anderson localization and transition based on engineered topolectrical circuits, which are directly mapped to the quasiperiodic Aubry-André Harper model with non-Abelian gauge fields. Disorder can be suitably introduced into the effective non-Abelian coupling matrices by randomly setting the values of coupling and grounding circuit elements. In this case, different types of non-Abelian Anderson phases, including the delocalization phase, coexisting states with localized and delocalized spatial profiles, and the localization phase, can be clearly observed by measuring the site-resolved impedance spectra and voltage dynamics. Our proposal provides a flexible platform to investigate Anderson localization and transition driven by non-Abelian gauge potentials with disorder and could have potential applications in the electronic signal control.
AB - Anderson localization, which originates from the wave interference between multiple-scattering paths, has been widely explored in quantum and classical systems with disordered Abelian gauge potentials. Recently, the interplay between disorder and non-Abelian gauge fields has been theoretically investigated, revealing non-Abelian Anderson localization and transition without Abelian analogy. Due to the limitation on engineering non-Abelian gauge potentials with disorder, the experimental observation of non-Abelian Anderson phenomena is still lacking. Here, we report on the experimental realization of non-Abelian Anderson localization and transition based on engineered topolectrical circuits, which are directly mapped to the quasiperiodic Aubry-André Harper model with non-Abelian gauge fields. Disorder can be suitably introduced into the effective non-Abelian coupling matrices by randomly setting the values of coupling and grounding circuit elements. In this case, different types of non-Abelian Anderson phases, including the delocalization phase, coexisting states with localized and delocalized spatial profiles, and the localization phase, can be clearly observed by measuring the site-resolved impedance spectra and voltage dynamics. Our proposal provides a flexible platform to investigate Anderson localization and transition driven by non-Abelian gauge potentials with disorder and could have potential applications in the electronic signal control.
UR - http://www.scopus.com/inward/record.url?scp=85175080512&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.108.144203
DO - 10.1103/PhysRevB.108.144203
M3 - Article
AN - SCOPUS:85175080512
SN - 2469-9950
VL - 108
JO - Physical Review B
JF - Physical Review B
IS - 14
M1 - 144203
ER -