Investigation of the high-order harmonic generation for a solid with a defect by Bohmian trajectories

¹ College of Science, Northeast Forestry University - Harbin, 150040, Heilongjiang, China
² Institute of Atomic and Molecular Physics, Jilin University - Changchun 130012, China

^(a) pxf19900215@163.com (corresponding author)
^(b) qidw9806@126.com
^(c) junzhang@jlu.edu.cn
^(d) liuxs@jlu.edu.cn

Received: 11 December 2021
Accepted: 2 May 2022

Abstract

We theoretically investigate the high-order harmonic generation (HHG) for a solid by solving the one-dimensional time-dependent Schrödinger equation. The numerical results with the potential well depth of the defect and are demonstrated. The intensity of the second plateau of the harmonic spectra can be enhanced with the small potential well depth of the defect. We investigate the emission time of harmonics in terms of the time-frequency analysis, which shows that with the potential well depth of the defect , one emission peak is weakened and the other is enhanced. By analyzing the time evolution of the electronic probability density distribution and the Bohmian trajectories, the electrons ionized in the negative-x direction will pass directly through the defect to the positive-x direction, which is different from the potential well depth of the defect In addition, we show a velocity curve to illustrate further the movement process of the ionized electrons.