Progress in study of low-energy photoelectron in ultra-fast strong fields-analytical R-matrix theory based semiclassical trajectory method

doi:10.7498/aps.65.223204

	Progress in study of low-energy photoelectron in ultra-fast strong fields-analytical R-matrix theory based semiclassical trajectory method
	Huang Wen-Xiao 1,2; Zhang Yi-Zhu 1; Yan Tian-Min 1; Jiang Yu-Hai1,2,3
	2016-11-20
发表期刊	物理学报 (IF:0.8[JCR-2023],0.8[5-Year])
ISSN	1000-3290
卷号	65 期号:22
发表状态	已发表
DOI	10.7498/aps.65.223204
摘要	The semi-classical method based on the recently developed analytical R-matrix theory is reviewed in this work. The method is described with the application to ultra-fast strong-field direct ionization of atoms with one active electron in a linearly polarized field [Torlina L, Smirnova O 2012 Phys. Rev. A 86 043408]. The analytical R-matrix theory separates the space into inner and outer regions, naturally allowing the possibility of an analytical or semi-analytical description of wave function in the outer region, which can be approximated by Eikonal-Volkov solutions while the inner region provides well-defined boundary conditions. Applying the stationary phase method, the calculation of the ionization amplitude is cast into a superposition of components from trajectories and their associated phase factors. The shape of the tunneling wave packets associated with different instants of ionization is presented. It shows the exponential cost of deviating from the optimal tunneling trajectory renders the tunneling wave packet a Gaussian shape surrounding the semi-classical trajectory. The intrinsically non-adiabatic corrections to the sub-cycle ionization amplitude in the presence of both the Coulomb potential and the laser field is shown to have different influences on the probability of ionization. As a specific study case, soft recollisions of the released electron near the ionic core is investigated by using pure light-driven trajectories with Coulomb-corrected phase factor [Pisanty E, Ivanov M 2016 Phys. Rev. A 93 043408]. Incorporating the Coulomb potential, it is found problematic to use the conventional integration contour as chosen in other methods with trajectory-based Coulomb corrections, because the integration contour may run into the Coulomb-induced branch cuts and hence the analyticity of the integrand fails. In order to overcome the problem, the evolution time of the post-tunneling electron is extended into the complex domain which allows a trajectory to have an imaginary component. As the soft recollision occurs, the calculation of the ionization amplitude requires navigating the branch cuts cautiously. The navigating scheme is found based on closest-approach times which are the roots of closest-approach times equations. The appropriately selected closest-approach times that always present in the middle of branch-cut gate may serve to circumvent these branch cuts. The distribution of the closest-approach times presents rich geometrical structures in both the classical and quantum domains, and intriguing features of complex trajectories emerge as the electron returns near the core. Soft recollisions responsible for the low-energy structures are embedded in the geometry, and the underlying emergence of near-zero energy structures is discussed with the prediction of possible observations in experiments.
关键词	above-threshold ionization semiclassical theory analytical R-matrix method complex time method
收录类别	SCI ; 北大核心 ; EI
语种	中文
资助项目	Shanghai Sailing Program, China[16YF1412600]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000389598500011
出版者	CHINESE PHYSICAL SOC
EI入藏号	20164903093330
EI主题词	Air navigation ; Coulomb blockade ; Electric fields ; Electrons ; Ionization ; Ionization potential ; Matrix algebra ; Wave functions ; Wave packets
EI分类号	Air Navigation and Traffic Control:431.5 ; Electricity: Basic Concepts and Phenomena:701.1 ; Chemical Reactions:802.2 ; Mathematics:921 ; Algebra:921.1 ; Atomic and Molecular Physics:931.3 ; Quantum Theory; Quantum Mechanics:931.4
WOS关键词	ABOVE-THRESHOLD IONIZATION ; COULOMB ; HOLOGRAPHY ; ATOMS
原始文献类型	Article
引用统计	正在获取...
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/1632
专题	大科学中心_PI研究组_江玉海组
通讯作者	Yan Tian-Min; Jiang Yu-Hai
作者单位	1.Chinese Acad Sci, Shanghai Adv Res Inst, Shanghai 201210, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.ShanghaiTech Univ, Shanghai 201210, Peoples R China
通讯作者单位	上海科技大学
推荐引用方式 GB/T 7714	Huang Wen-Xiao,Zhang Yi-Zhu,Yan Tian-Min,et al. Progress in study of low-energy photoelectron in ultra-fast strong fields-analytical R-matrix theory based semiclassical trajectory method[J]. 物理学报,2016,65(22).
APA	Huang Wen-Xiao,Zhang Yi-Zhu,Yan Tian-Min,&Jiang Yu-Hai.(2016).Progress in study of low-energy photoelectron in ultra-fast strong fields-analytical R-matrix theory based semiclassical trajectory method.物理学报,65(22).
MLA	Huang Wen-Xiao,et al."Progress in study of low-energy photoelectron in ultra-fast strong fields-analytical R-matrix theory based semiclassical trajectory method".物理学报 65.22(2016).