Semiclassical time--dependent propagation in three dimensions: How accurate is it for a Coulomb potential?

Inelastic semiclassical Coulomb scattering

We present a semiclassical S-matrix study of inelastic collinear electron-hydrogen scattering. A simple way to extract all necessary information from the deflection function alone without having to compute the stability matrix is described. This includes the determination of the relevant Maslov indices. Results of singlet and triplet cross sections for excitation and ionization are reported. The different levels of approximation -- classical, semiclassical, and uniform semiclassical -- are compared among each other and to the full quantum result.

Strong-field photoelectron holography beyond the electric dipole approximation: a semiclassical analysis

Strong-field photoelectron holography denotes the interference of various electron paths in laser-induced ionization of atoms, leading to interference patterns in the final momentum distribution. For a quantitative description of holography beyond the electric dipole approximation and in the presence of the Coulomb potential, we develop a semiclassical model in which the initial conditions of outgoing electrons are set according to the beyond-dipole strong-field approximation for the ionization step. The phases associated with trajectories are evaluated following the prescription for semiclass…

Effects of the Coulomb potential in interference patterns of strong-field holography with photoelectrons

Using the semiclassical two-step model for strong-field ionization we investigate the interference structures emerging in strong-field photoelectron holography, taking into account the Coulomb potential of the atomic core. For every kind of the interference pattern predicted by the three-step model, we calculate the corresponding structure in the presence of the Coulomb field, showing that the Coulomb potential modifies the interference patterns significantly.

Periodic Orbits and Binary Collisions in the Classical Coulomb Three-Body Problem

In the helium case of the classical Coulomb three-body problem in two dimensions with zero angular momentum, we develop a procedure to find periodic orbits applying two symbolic dynamics for one-dimensional and planar problems. A sequence of periodic orbits are predicted and are actually found numerically. The results obtained here will be a cornerstone for finding the remaining periodic orbits, which needed for semiclassical applications such as periodic orbit quantization.

Coulomb-corrected strong-field quantum trajectories beyond dipole approximation

Non-dipole effects in strong-field photoelectron momentum spectra have been revealed experimentally [C.T.L. Smeenk et al., Phys. Rev. Lett. 106, 193002 (2011); A. Ludwig et al., Phys. Rev. Lett. 113, 243001 (2014)]. For certain laser parameters and photoelectron momenta the spectra were found to be shifted against the laser propagation direction whereas one would naively assume that the radiation pressure due to the $\vec{v}\times\vec{B}$-force pushes electrons always in propagation direction. Only the interplay between Lorentz and Coulomb force may give rise to such counterintuitive dynamics.…

用于强场电离精确半经典模型的高级动量采样与 Maslov 相位

Advanced momentum sampling and Maslov phases for a precise semiclassical model of strong-field ionization

本文通过引入 Maslov 相位与初始动量 Monte-Carlo 采样改进 CQSFA 强场电离模型，精确再现氢、氦、氩的 TDSe 结果并发现新型库仑驱动再散射轨迹。