发表机构
University of Science and Technology of China; CAS Key Laboratory of Strongly-Coupled Quantum Matter Physics; Department of Physics, University of Science and Technology of China; International Center for Quantum Design of Functional Materials (ICQD); Hefei National Research Center for Physical Sciences at the Microscale, University of Science and Technology of China; Hefei National Laboratory, University of Science and Technology of China（中国科学技术大学; 中国科学院强耦合量子物质物理重点实验室; 中国科学技术大学物理学院; 功能材料量子设计国际中心; 中国科学技术大学微尺度物质科学国家研究中心; 中国科学技术大学合肥国家实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究提出非厄米光子时间准晶体，通过复相位延拓实现体放大率整数相位锁定，连接Avila加速度与可观测光响应，实现量子化放大与光谱选择。
AI 中文摘要
光子时间晶体通过时间调制放大波。我们研究了非厄米Aubry-André-Harper模型的时间类比。通过将不可公度的时间调制延拓到复相位平面，我们发现体放大率作为复化坐标的函数被组织成不同的整数相位，其斜率在每个相位内锁定为整数。该整数即Avila加速度，将准周期算子理论的全局结构与可直接观测的光传播响应联系起来。在保持底层解析相位结构的时间相关介电常数调制中存在缺陷时，量子化响应仍然存在。作为波级结果，属于不同整数相位的两个输入频率获得指数分离的放大，产生光谱选择并重塑时间拍频模式。我们的结果表明，准周期算子理论的全局整数可以控制非厄米光子时间准晶体中可调、量子化的增长响应。
英文摘要
Photonic time crystals amplify waves through temporal modulation. We study a temporal analogue of the non-Hermitian Aubry-André-Harper model. By continuing an incommensurate temporal modulation into the complex phase plane, we find that the bulk amplification rate as a function of the complexification coordinate is organized into distinct integer phases, with its slope locked to an integer within each phase. This integer is Avila's acceleration, connecting a global structure of quasiperiodic operator theory with a directly observable optical propagation response. The quantized response persists in the presence of defects in the time-dependent permittivity modulation that preserve the underlying analytic phase structure. As a wave-level consequence, two input frequencies belonging to different integer phases acquire exponentially separated amplification, producing spectral selection and reshaping the temporal beat pattern. Our results establish that a global integer of quasiperiodic operator theory can govern a tunable, quantized growth response in a non-Hermitian photonic time quasicrystal.
Comments7 pages, 4 figures; Supplemental Material: 21 pages, 6 figures
