High-order harmonic generation (HHG) in disordered systems is investigated by numerically solving the time-dependent Schrödinger equation. We reveal the vital role of Anderson localization in this situation. It allows us to develop a new and efficient sampling method for the large disordered system, which could significantly reduce the computation cost. It can be applied to both pure liquids and solutions. The structures and cutoffs of the harmonic spectrum are simulated with different field strengths and statistical parameters in the solution. Compared with HHG in pure liquids, the harmonic signal changes little in dilute solutions. HHG from different solutes and concentrations is simulated to confirm this point. This should be the first theoretical study on HHG in solutions. Our results shed light on the way to investigate the ultrafast processes in the solution.

中文翻译：

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溶液中高次谐波产生的理论研究

通过数值求解瞬态薛定谔方程来研究无序系统中的高次谐波生成 (HHG)。我们揭示了 Anderson 本地化在这种情况下的重要作用。它使我们能够为大型无序系统开发一种新的高效采样方法，从而显着降低计算成本。它可以应用于纯液体和溶液。谐波频谱的结构和截止在解决方案中使用不同的场强和统计参数进行模拟。与纯液体中的 HHG 相比，谐波信号在稀溶液中变化不大。模拟来自不同溶质和浓度的 HHG 以证实这一点。这应该是第一次对溶液中的 HHG 进行理论研究。