标题： 开放任意子系统的松弛与同步的统计控制 显示英文标题

标题： Statistical Control of Relaxation and Synchronization in Open Anyonic Systems

摘要： 量子统计规定了粒子之间的交换和关联方式，但在二维系统中，这些规则超越了玻色子和费米子，扩展到了任意子，这是一种具有连续可调交换相位的准粒子。 在这里，我们开发了一个针对任意子振子的Lindblad框架，并表明分数统计使得在开放量子系统中能够对退相干进行统计控制。 通过改变任意子相位和环境相关性，我们展示了可调模式保护，确定了耗散谱中的例外点，并揭示了温度依赖的相干分叉。 使用相干多维光谱作为探测手段，我们表明统计相位在三阶响应中留下了独特的指纹，为检测和操控拓扑激发开辟了新途径。 这些结果确立了交换相位作为工程抗耗散量子态的功能控制参数。 显示英文摘要

摘要： Quantum statistics dictate how particles exchange and correlate-but in two-dimensional systems, these rules extend beyond bosons and fermions to anyons, quasiparticles with continuously tunable exchange phases. Here, we develop a Lindblad framework for anyonic oscillators and show that fractional statistics enable statistical control of decoherence in open quantum systems. By varying the anyonic phase and environmental correlations, we demonstrate tunable mode protection, identify exceptional points in the dissipative spectrum, and reveal temperature-dependent coherence bifurcations. Using coherent multidimensional spectroscopy as a probe, we show that statistical phases leave distinct fingerprints in the third-order response, opening new routes to detect and manipulate topological excitations. These results establish the exchange phase as a functional control parameter for engineering dissipation-resilient quantum states.