发表机构
Universitat de Barcelona（巴塞罗那大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究提出手性活性物质中涨落可携带非零陈数拓扑，通过关联谱的Haldane型有效耦合实现拓扑相变，并发现区别于常规力学边缘态的边界局域涨落模式，拓展了能带拓扑的研究范畴。
AI 中文摘要
能带拓扑通常与系统的确定性动力学相关联，但本文证明其可存在于系统的涨落中。利用非平衡手性活性噪声驱动的倒格子，研究发现位移谱（量化位移涨落）具有非零陈数的能带，尽管其确定性力学是陈数平凡的。关联谱中类似Haldane的有效耦合解释了该拓扑，且产生由随机驱动和观测频率共同控制的拓扑相变。通过体-边界对应关系，还发现了与常规传播力学边缘态不同的边界局域涨落模式。
英文摘要
While band topology is usually associated with the deterministic dynamics of a system, we show that it can instead reside in its fluctuations. Using a reciprocal lattice driven by nonequilibrium chiral active noise, we find that the displacement spectrum---which quantifies displacement fluctuations---admits bands with nonzero Chern numbers despite a Chern-trivial deterministic mechanics. A two-band valley theory captures the emergence of this topology through a Dirac mass inversion, a Haldane-type mechanism, or a quadratic band touching, depending on the relevant transition. Through the bulk--boundary correspondence, we find boundary-localized fluctuation modes that are distinct from the usual propagating mechanical edge states.
Commentsstreamlined some derivations, added analytics for quadratic band touching
