通过亚线性光学实现非线性响应
Nonlinear Response via Sublinear Optics
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中文总结 AI 辅助
研究利用跟踪控制在氢原子中实现亚线性光学响应，通过量子态自洽确定场，展示对多指数和缩放强度的精确跟踪，用紧凑波包连续体离散化计算，确立跟踪控制为超越传统非线性的光学响应工程通用途径。
中文摘要 AI 辅助
亚线性光学响应中，发射场与驱动场呈分数幂关系，超出了传统非线性光学的微扰范畴。本文表明，可利用跟踪控制在氢原子中实现这种响应。场并非预先设定驱动波形，而是根据量子态自洽确定，以强制光学响应与外加场之间的特定关系。我们展示了对多个指数和缩放强度的精确跟踪，证实单个原子系统可被驱动实现一系列不同的亚线性响应。计算通过紧凑波包连续体离散化实现，该方法平等对待束缚态和连续态，据我们所知，首次应用于强场光学和量子控制。这些结果确立了跟踪控制是超越传统多项式非线性的光学响应工程的通用途径。
英文摘要
Sublinear optical response, in which the emitted field scales as a fractional power of the driving field, lies beyond the conventional perturbative hierarchy of nonlinear optics. Here, we show that such a response can be engineered in a hydrogen atom using tracking control. Rather than prescribing the driving waveform, the field is determined self-consistently from the evolving quantum state to enforce a chosen relation between the optical response and the applied field. We demonstrate accurate tracking for multiple exponents and scaling strengths, establishing that a single atomic system can be driven to realize a family of distinct sublinear responses. The calculations are enabled by a compact wave-packet continuum discretization that treats bound and continuum states on equal footing and is applied here, to the best of our knowledge, for the first time to strong-field optics and quantum control. These results establish tracking control as a general route to engineering optical responses beyond conventional polynomial nonlinearities.
