Non-Abelian Topological Phases and Their Quotient Relations in Acoustic Systems

2023/05/05 by Xiaochen Sun, Sun, Xiao-Chen, Jiabao Wang +5 · 3 citations
Physics and Astronomy · #Quantum, superfluid, helium dynamics #Topological Materials and Phenomena #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.2305.03239

Abstract

Non-Abelian topological phases (NATPs) are highly sought-after candidate states for quantum computing and communication while lacking straightforward configuration and manipulation, especially for classical waves. In this work, we exploit novel braid-type couplings among a pair of triple-component acoustic dipoles, which act as functional elements with effective imaginary couplings. Sequencing them in one dimension allows us to generate acoustic NATPs in a compact yet reciprocal Hermitian system. We further provide the whole phase diagram that encompasses all i, j, and k non-Abelian phases, and directly demonstrate their unique quotient relations via different endpoint states. Our NATPs based on real-space braiding may inspire the exploration of acoustic devices with non-commutative characters.

Cited by

• Topological Phases in Non-Hermitian Nonlinear-Eigenvalue Systems
• Non-Abelian interference of topological edge states
• Observation of anomalous Floquet non-Abelian topological insulators

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