Transient logic operations in acoustics through dynamic modulation

Adiabatic state evolution enables energy relocation and geometric phases, which can be essential for logic operations, but have yet to be reported for acoustics in the time domain. Here the authors realize transient logic operations with an electroacoustic coupled system. In this work dynamic couplings, implemented with electric feedback circuits, are vital for preserving mode degeneracy and achieving matrix-valued geometric phases. This acoustic platform, showcasing various logic operations (such as non-Abelian braiding and the Hadamard gate) with dynamic modulations, is a versatile test bed for exploring transient sound-wave operations and exotic topological phenomena.