用不变环面族动态组织离散系统
Dynamical organization of recollisions by a family of invariant tori
摘要：
本文研究了强线偏振激光场作用下原子中电子的运动。我们确定了不变的结构组织一个非常具体的子集的轨迹，即callisions。再碰撞是首先逃离离子核的轨迹（即，例如，在大幅度偏离核心的过程中获得的能量被转移到束缚电子上。我们考虑的作用所起的作用，横向的极化方向的极化过程中。我们计算了与一个特定的双曲椭圆周期轨道相关联的二维不变环面族及其稳定和非稳定流形。我们表明，这些流形组织在相空间的映射。
英文摘要：
We consider the motion of an electron in an atom subjected to a strong linearly polarized laser field. We identify the invariant structures organizing a very specific subset of trajectories, namely recollisions. Recollisions are trajectories which first escape the ionic core (i.e., ionize) and later return to this ionic core, for instance, to transfer the energy gained during the large excursion away from the core to bound electrons. We consider the role played by the directions transverse to the polarization direction in the recollision process. We compute the family of two-dimensional invariant tori associated with a specific hyperbolic-elliptic periodic orbit and their stable and unstable manifolds. We show that these manifolds organize recollisions in phase space.
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