State Key Laboratory for Mesoscopic Physics and Department of Physics, Peking University, Beijing 100871, China.
State Key Laboratory for Mesoscopic Physics and Department of Physics, Peking University, Beijing 100871, China and Collaborative Innovation Center of Quantum Matter, Beijing 100871, China.
Phys Rev Lett. 2014 Jun 13;112(23):233001. doi: 10.1103/PhysRevLett.112.233001. Epub 2014 Jun 9.
Most previous studies have focused on high-order harmonic generation beyond the ionization threshold; mechanisms of below-threshold harmonics are less understood. We schematically study the harmonic emission process in this region by numerically solving the time-dependent Schrödinger equation of an atom in laser fields. We show that, besides the quantum path interference mechanism recently identified, the effects induced by the Coulomb potential also have a critical impact on these harmonics. These mechanisms can be distinguished in the structure of harmonic spectra by changing the laser wavelength and peak intensity. We find that the long quantum orbits can influence lower-order harmonics at a higher laser intensity. In addition, we show that the intensity-dependent steps of harmonic yield can disappear for certain harmonic orders, due to the trapping in the Rydberg states before recombination, which can explain recent experimental observations.
大多数先前的研究都集中在高于电离阈值的高阶谐波产生上;低于阈值的谐波机制则了解较少。我们通过数值求解原子在激光场中的含时薛定谔方程,示意性地研究了该区域中的谐波发射过程。我们表明,除了最近确定的量子路径干涉机制外,库仑势引起的效应也对这些谐波产生了关键影响。通过改变激光波长和峰值强度,可以在谐波光谱的结构中区分这些机制。我们发现,在较高的激光强度下,长量子轨道会影响较低阶的谐波。此外,我们还表明,由于在复合前被 Rydberg 态捕获,某些谐波阶的强度相关谐波产额的阶跃可能会消失,这可以解释最近的实验观察结果。