固体中高次谐波产生的Floquet理论公式和分析
Floquet-Theoretical Formulation and Analysis of High-Harmonic Generation in Solids
摘要：
利用Floquet本征态，导出了在某一时刻开启单色光场的情况下，电流的高次谐波分量的计算公式。在此基础上，我们研究了一维交错势链上电子的HHC能谱，以研究在具有电荷密度波（CDW）序的系统中，单胞中多个电子位置的影响.借助Floquet本征态的解，我们分析表明，在HHC谱中出现了两个不同起源的平台。这些平台的宽度都与场振幅成正比，但分别与激光频率及其平方成反比。数值计算还表明，当场振幅和交错势都很强时，会出现多阶平台。
英文摘要：
By using the Floquet eigenstates, we derive a formula to calculate the high-harmonic components of the electric current (HHC) in the setup where a monochromatic laser field is turned on at some time. On the basis of this formulation, we study the HHC spectrum of electrons on a one-dimensional chain with the staggered potential to study the effect of multiple sites in the unit cell such as the systems with charge density wave (CDW) order. With the help of the solution for the Floquet eigenstates, we analytically show that two plateaus of different origins emerge in the HHC spectrum. The widths of these plateaus are both proportional to the field amplitude, but inversely proportional to the laser frequency and its square, respectively. We also show numerically that multi-step plateaus appear when both the field amplitude and the staggered potential are strong.
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