Floquet analysis of real-time wave functions without solving the Floquet equation
Floquet analysis of real-time wave functions without solving the Floquet equation
复制标题
实时波函数的 Floquet 分析，无需求解 Floquet 方程
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
D. Bauer
中科院分区：
文献类型：
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作者：
V. Kapoor;D. Bauer
我们提出了一种无需求解 Floquet 方程即可从实时波函数获取 Floquet 态（也称为光诱导态）及其准能量的方法。如果哈密顿量不是严格周期性的（例如短激光脉冲），这对于分析与时间相关的量子动力学中的各种现象非常有用。在那里，Floquet 状态的数量取决于脉冲形式，并自动包含在实时波函数中，但不包含在标准 Floquet 方法中。示例性地讨论了强激光-原子相互作用领域中的几个例子：（i）具有单束缚态的反演对称势的偶次谐波的观察； (ii) Floquet 态总体对（规范）变换的依赖性以及不变的、可观测的光电子能谱的出现； (iii) 修饰状态之间共振跃迁的驱动，即修饰状态的修饰，以及 (iv) 由于阈值以上电离峰的有质动力位移而导致通道关闭时的光谱增强。
We propose a method to obtain Floquet states---also known as light-induced states---and their quasi-energies from real-time wavefunctions without solving the Floquet equation. This is useful for the analysis of various phenomena in time-dependent quantum dynamics if the Hamiltonian is not strictly periodic, as in short laser pulses, for instance. There, the population of the Floquet states depends on the pulse form and is automatically contained in the real-time wavefunction but not in the standard Floquet approach. Several examples in the area of intense laser-atom interaction are exemplarily discussed: (i) the observation of even harmonics for an inversion-symmetric potential with a single bound state; (ii) the dependence of the population of Floquet states on (gauge) transformations and the emergence of an invariant, observable photoelectron spectrum; (iii) the driving of resonant transitions between dressed states, i.e., the dressing of dressed states, and (iv) spectral enhancements at channel closings due to the ponderomotive shift of above-threshold ionization peaks.