论文标题
在声学浮雕系统中观察PI/2模式
Observation of pi/2 modes in an acoustic Floquet system
论文作者
论文摘要
在过去的几十年中，物质的拓扑阶段仍然是一个积极的研究领域。周期性驾驶是丰富这种外来相的强大工具，它导致各种现象没有静态类似物。一种这种现象是难以捉摸的$ pi/2 $模式的出现，即一种拓扑边界状态固定在驾驶频率的四分之一。后者可能导致在存在相互作用的情况下形成浮球副作用，这比主要颗粒粒子支持更多的计算能力。在这项工作中，我们在声学波导阵列中实验验证了$π/2 $模式的签名，该阵列旨在模拟正方形定期驱动的Su-Schrieffer-Heeger模型。这是通过确认$ 4T $ - 周期性（$ t $为驾驶期）的初始启发的概况，从理论上讲，我们也证明这是$π/2 $模式的吸烟枪支证据。我们的发现有望激励对潜在技术应用的量子系统中$π/2 $模式的进一步研究。
Topological phases of matter have remained an active area of research in the last few decades. Periodic driving is known to be a powerful tool for enriching such exotic phases, which leads to various phenomena with no static analogs. One such phenomenon is the emergence of the elusive $pi/2$ modes, i.e., a type of topological boundary state pinned at a quarter of the driving frequency. The latter may lead to the formation of Floquet parafermions in the presence of interaction, which is known to support more computational power than Majorana particles. In this work, we experimentally verify the signature of $π/2$ modes in an acoustic waveguide array, which is designed to simulate a square-root periodically driven Su-Schrieffer-Heeger model. This is accomplished by confirming the $4T$-periodicity ($T$ being the driving period) profile of an initial-boundary excitation, which we also show theoretically to be the smoking gun evidence of $π/2$ modes. Our findings are expected to motivate further studies of $π/2$ modes in quantum systems for potential technological applications.
