Ionization of two-electron atom (xenon) studied by Bohmian mechanics theory

doi:10.1088/1674-1056/abb22e

Abstract

The ionization dynamics of two-electron atom in an intense laser field is studied by the Bohmian mechanics (BM) theory, and the xenon atomic potential function is used as a model. The single ionization process and double ionization process are calculated by the BM theory and their results are in good agreement with those calculated by numerically solving the time-dependent Schrödinger equation. The analyses of the types, trajectories, and forces of Bohmian particles (BPs) undergoing the single and double ionizations indicate that the re-collision process accounts for a considerable proportion in the singly ionized cases. Furthermore, the analysis of the work done by the external force acting on the BPs shows that the quantum force plays an important role in the re-collision process. This work is helpful in understanding the ionization of two-electron atom in an intense laser field.

Keywords: Bohmian mechanics quantum force atomic ionization re-collision process

Received: 24 April 2020
Revised: 09 August 2020
Accepted manuscript online: 25 August 2020

Fund: the Jilin Provincial Science and Technology Development Plan Program for Excellent Youth Talents, China (Grant No. 20180520174JH) and the National Natural Science Foundation of China (Grant Nos. 11704145, 11904050, 11774129, 11747007, 11534004, and 12074145).

Corresponding Authors: ^†Corresponding author. E-mail: guofm@jlu.edu.cn ^‡Corresponding author. E-mail: sylee@jlu.edu.cn

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Yang Song(宋阳), Shu Han(韩姝), Yu-Jun Yang(杨玉军), Fu-Ming Guo(郭福明), and Su-Yu Li(李苏宇) Ionization of two-electron atom (xenon) studied by Bohmian mechanics theory 2020 Chin. Phys. B 29 113201

Fig. 1.

(a) Time-evolution of laser field whose central frequency and duration are 0.057 a.u., and 2 optical cycles, respectively. (b) Probability density image of ground state wave-function.

Fig. 2.

Variation of single and double ionization probability of xenon atom with time for (a) 200 and (b) 1 × 10⁶ pairs of BPs, with solid black and dotted blue (dashed red and dash-dotted magenta) curves denoting single (double) ionization probability calculated by TDSE and BM methods, respectively.

Fig. 3.

Time-evolution of trajectories of 200 BP pairs in external field, showing [(a), (b)] singly, and [(c), (d)] doubly ionized BP pairs’ trajectories. Panels (a) and (c) refer to trajectories of the first BP and panels (b) and (d) refer to trajectories of the second one.

Fig. 4.

Time-evolution of typical BP pair in Figs. 3(a) and 3(b) showing (a) trajectories and (b) energy of the first (solid black curve) and second (dash-dotted red curve) BPs.

Fig. 5.

Time-evolution of trajectories and the force acting on the BP pair in Fig. 4(a) within recombination time: (a) trajectories of the first (solid black curve) and second (dash-dotted red curve) BPs from t = 103 a.u. to t = 120 a.u.; (b) quantum force acting on the first (solid black curve) and second (dash–dotted red curve) BPs, classical force acting on the first BP (sum of the Coulomb attraction from the nucleus and Coulomb repulsion from the second BP) (dashed magenta curve), and classical force acting on the second BP (dotted green curve), with bold solid blue curve denoting electric field force.

Fig. 6.

(a) Work done by resultant force acting on the first BP (solid dark yellow curve) and its component forces, i.e., electric field force (bold solid blue curve), Coulomb force from the nucleus (bold dashed magenta curve), Coulomb force from the second BP (dashed magenta curve), and quantum force (solid black curve). (b) Work done by the resultant force acting on the second BP (solid dark yellow curve), and its component forces, i.e., electric field force (bold solid blue curve), Coulomb force from the nucleus (bold dotted green curve), Coulomb force from the first BP (dotted green curve), and quantum force (dash-dotted red curve).

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Ionization of two-electron atom (xenon) studied by Bohmian mechanics theory

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