发表机构
Fudan University; Peking University（复旦大学; 北京大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过伪谱渐近标度律将单位圆盘划分为不同精度区域，揭示耗散Floquet系统的全局几何结构，并利用两个精确可解模型展示其可观测物理效应，为量子计算实验提供新范式。
AI 中文摘要
在周期驱动的开放量子系统中，非正规性使得当系统趋近热力学极限时，Floquet谱变得不足，因此需要伪谱来准确刻画动力学。虽然传统方法主要关注孤立伪谱的局域动力学，但其全局连接以及对可观测量的物理后果在很大程度上仍未得到探索。在此，我们通过根据伪谱残差的渐近尺寸标度律将单位圆盘划分为指数精度、代数精度和有界精度三个不同区域，揭示了这种集体行为，从而产生了一个潜在的几何结构。我们通过两个精确可解的模型展示了该结构的物理意义。首先，在耗散位移链中，参数调谐驱动几何相变，这些相变可通过自旋波观测量检测。其次，在手性XY模型中，我们利用该几何结构解释了一个可测量现象的起源：两个相关信号在连续参数调谐下交换其保留顺序。我们的发现不仅为理解耗散Floquet量子系统建立了新的理论范式，还为量子计算实验预测了由几何驱动的观测量。
英文摘要
In periodically driven open quantum systems, nonnormality renders the Floquet spectrum insufficient as the system approaches the thermodynamic limit, so that pseudospectra are needed to characterize the dynamics accurately. While conventional approaches mainly focus on the local dynamics of isolated pseudospectra, their global connections and the resulting physical consequences for observables have remained largely unexplored. Here, we uncover this collective behavior by classifying the unit disk into distinct domains of exponential, algebraic, and bounded accuracy according to the asymptotic size-scaling laws of pseudospectral residuals, yielding an underlying geometric structure. We demonstrate the physical implications of this structure through two exactly solvable models. First, in a dissipative shift chain, parameter tuning drives geometric transitions that are detectable via spin-wave observables. Second, in a chiral XY model, we use this geometric structure to explain the origin of a measurable phenomenon: two correlation signals exchange their retention order under continuous parameter tuning. Our findings not only establish a new theoretical paradigm for understanding dissipative Floquet quantum systems, but also predict geometry-driven observables for quantum computing experiments.
Comments21 pages, 3 figures
