The fermionic Kitaev chain is a canonical model featuring topological Majorana zero modes¹. We report the experimental realization of its bosonic analogue² in a nano-optomechanical network, in which the parametric interactions induce beam-splitter coupling and two-mode squeezing among the nanomechanical modes, analogous to hopping and p-wave pairing in the fermionic case, respectively. This specific structure gives rise to a set of extraordinary phenomena in the bosonic dynamics and transport. We observe quadrature-dependent chiral amplification, exponential scaling of the gain with system size and strong sensitivity to boundary conditions. All these are linked to the unique non-Hermitian topological nature of the bosonic Kitaev chain. We probe the topological phase transition and uncover a rich dynamical phase diagram by controlling interaction phases and amplitudes. Finally, we present an experimental demonstration of an exponentially enhanced response to a small perturbation^3,4. These results represent the demonstration of a new synthetic phase of matter whose bosonic dynamics do not have fermionic parallels, and we have established a powerful system for studying non-Hermitian topology and its applications for signal manipulation and sensing.

费米基塔耶夫链是一个具有拓扑马约拉纳零模¹的规范模型。我们报告了其玻色子类似物²在纳米光机械网络中的实验实现，其中参数相互作用引起纳米力学模式之间的分束器耦合和双模挤压，类似于费米子情况下的跳跃和p波配对，分别。这种特殊的结构在玻色子动力学和输运方面产生了一系列非凡的现象。我们观察到正交相关的手性放大、增益随系统尺寸的指数缩放以及对边界条件的强敏感性。所有这些都与玻色基塔耶夫链独特的非厄米拓扑性质有关。我们探讨了拓扑相变，并通过控制相互作用相位和振幅揭示了丰富的动态相图。最后，我们提出了对小扰动的指数增强响应的实验演示^3,4。这些结果代表了一种新的物质合成相，其玻色子动力学没有费米子平行，并且我们已经建立了一个强大的系统来研究非厄米拓扑及其在信号操纵和传感方面的应用。