Non-Abelian Topological Bound States in the Continuum.

Area of Science:

• Topological physics
• Condensed matter theory
• Circuit quantum electrodynamics

Background:

• Bound states in the continuum (BICs) are localized states within the continuous spectrum.
• Topological BICs offer robustness against disorder but are limited to Abelian gauge fields.
• The possibility of non-Abelian gauge fields inducing topological BICs remains unexplored.

Purpose of the Study:

• To theoretically and experimentally realize non-Abelian topological BICs.
• To investigate the role of non-Abelian couplings in generating topological BICs.
• To explore the construction of topological subspace-induced BICs at bulk dislocations.

Main Methods:

• Theoretical modeling of non-Abelian gauge fields and pseudospins.
• Experimental realization using non-Abelian topolectrical circuits.
• Analysis of the interplay between pseudospins and non-Abelian couplings.

Main Results:

• Demonstrated non-Abelian topological BICs arising from coupled pseudospins.
• Observed coexistence of BICs in each pseudospin subspace.
• Showcased topological subspace-induced BICs at bulk dislocations via non-Abelian couplings.

Conclusions:

• Established a connection between topological BICs and non-Abelian gauge fields.
• Provided experimental evidence for non-Abelian topological BICs.
• Opened new pathways for exploring non-Abelian topological phenomena in diverse systems.