AI 中文总结
本研究探究高次谐波产生（HHG）中光学薛定谔猫态的几何性质，分析结构驱动光对其几何演化的影响，证明结构光可控制HHG猫态的几何动力学，并探讨拓扑光学猫态的实现前景。
AI 中文摘要
高次谐波产生（HHG）为在超快时间尺度上探究强激光场与物质的相互作用提供了强大平台。除了基于发射辐射和电子动力学的常规描述外，对HHG的完全量子处理表明，非线性光-物质相互作用可修饰驱动场本身的量子态，建立基频与谐波模式之间的关联。这一视角为将HHG用作工程化和控制非经典光态的工具开辟了新可能。本研究通过条件制备和后选择，探究HHG中产生的光学薛定谔猫态的几何性质。通过分析不同结构驱动场诱导的相干态位移，我们表征了所产生量子态的相空间演化及相关几何相位，重点关注驱动光的偏振和空间模式结构如何影响位移相干态的几何结构与演化。结果表明，结构光为控制HHG产生的猫态在参数空间中的几何动力学提供了通用手段，此外我们还讨论了利用更复杂的结构光构型实现真正拓扑光学猫态的前景。
英文摘要
High-harmonic generation (HHG) provides a powerful platform for exploring the interaction between intense laser fields and matter on ultrafast timescales. Beyond its conventional description in terms of emitted radiation and electron dynamics, a fully quantum treatment of HHG reveals that the nonlinear light-matter interaction can modify the quantum state of the driving field itself, establishing correlations between the fundamental and harmonic modes. This perspective opens new possibilities for using HHG as a tool to engineer and control nonclassical states of light. In this work, we investigate the geometric properties of optical Schroedinger cat states generated in HHG via conditioning and post-selection. By analyzing the coherent-state displacements induced by different structured driving fields, we characterize the resulting phase-space evolution and the associated geometric phases of the generated quantum states. Particular emphasis is placed on how the polarization and spatial-mode structure of the driving light influence the geometry and evolution of displaced coherent states. Our results demonstrate that structured light offers a versatile means of controlling the geometric dynamics of HHG-generated cat states across the parameter space. Furthermore, we discuss the prospects for realizing genuinely topological optical cat states by exploiting more complex structured light configurations.
Comments14 pages, 6 Figures (2 in SM)
