发表机构
University of Science and Technology of China（中国科学技术大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
我们提出自适应量子 kicked rotor 模型，通过腔反馈使 kicking 强度成为动力学变量，揭示共振下的双 kick 弹道输运和反共振，以及不可公度下的周期加倍局域化，建立反馈重塑量子输运与时间序的通用框架。
AI 中文摘要
我们引入了一个基于量子 kicked rotor 的自适应 Floquet 系统，其中 kicking 强度本身成为一个通过腔介导反馈自洽产生的动力学变量。超辐射相变产生了腔介导的 kicking 和两个竞争的失稳通道，对称和反对称，这为非平衡 Floquet 相提供了一个统一的组织原则。对于共振 kicking，它们的竞争产生了支持共振弹道输运的双 kick 动力学，以及一个由两个失稳通道之间的平衡引起的周期四倍转子演化的涌现反共振。值得注意的是，对于不可公度 kicking，反对称失稳稳定了一个鲁棒的周期加倍局域相，尽管存在潜在的不可公度驱动，仍具有持久的亚谐波动力学，揭示了传统 kicked rotor 中不存在的局域时间序。随着反馈强度的增加，相关的时间涨落逐渐抑制量子干涉，驱动从周期加倍局域化到不规则局域化，最终到亚扩散输运的交叉。我们的结果建立了一个自适应量子混沌动力学的通用框架，并展示了动力学反馈如何从根本上重塑驱动量子系统中的输运、局域化和时间序。
英文摘要
We introduce a self-adaptive Floquet system based on a quantum kicked rotor, in which the kicking strength itself becomes a dynamical variable generated self-consistently through cavity-mediated feedback. A superradiant transition gives rise to cavity-mediated kicking and two competing instability channels, symmetric and antisymmetric, which provide a unified organizing principle for the nonequilibrium Floquet phases. For resonant kicking, their competition produces double-kick dynamics that support resonant ballistic transport and an emergent antiresonance with period-quadrupled rotor evolution, arising from a balance between the two instability channels. Remarkably, for incommensurate kicking, the antisymmetric instability stabilizes a robust period-doubled localized phase with persistent subharmonic dynamics despite the underlying incommensurate driving, revealing localized temporal order absent in conventional kicked rotors. As the feedback strength increases, correlated temporal fluctuations progressively suppress quantum interference, driving crossovers from period-doubled localization to irregular localization and eventually to subdiffusive transport. Our results establish a general framework for self-adaptive quantum-chaotic dynamics and demonstrate how dynamical feedback can fundamentally reshape transport, localization, and temporal order in driven quantum systems.
Comments6 pages, 4 figures, and supplemental material
