Complex coordinate rotation method based on gradient optimization  

作　　者：Zhi-Da Bai Zhen-Xiang Zhong Zong-Chao Yan Ting-Yun Shi 白志达;钟振祥;严宗朝;史庭云(State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics,Wuhan Institute of Physics and Mathematics,Innovation Academy for Precision Measurement Science and Technology,Chinese Academy of Sciences,Wuhan 430071,China;University of Chinese Academy of Sciences,Beijing 100049,China;Department of Physics,University of New Brunswick,Fredericton,New Brunswick E3B 5A3,Canada;Center for Cold Atom Physics,Chinese Academy of Sciences,Wuhan 430071,China)

机构地区：[1]State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics,Wuhan Institute of Physics and Mathematics,Innovation Academy for Precision Measurement Science and Technology,Chinese Academy of Sciences,Wuhan 430071,China [2]University of Chinese Academy of Sciences,Beijing 100049,China [3]Department of Physics,University of New Brunswick,Fredericton,New Brunswick E3B 5A3,Canada [4]Center for Cold Atom Physics,Chinese Academy of Sciences,Wuhan 430071,China

出　　处：《Chinese Physics B》2021年第2期257-261,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.91636216,11974382,and 11474316);the Chinese Academy of Sciences Strategic Priority Research Program(Grant No.XDB21020200);by the YIPA Program;the support of NSERC,SHARCnet,ACEnet of Canada。

摘　　要：In atomic,molecular,and nuclear physics,the method of complex coordinate rotation is a widely used theoretical tool for studying resonant states.Here,we propose a novel implementation of this method based on the gradient optimization(CCR-GO).The main strength of the CCR-GO method is that it does not require manual adjustment of optimization parameters in the wave function;instead,a mathematically well-defined optimization path can be followed.Our method is proven to be very efficient in searching resonant positions and widths over a variety of few-body atomic systems,and can significantly improve the accuracy of the results.As a special case,the CCR-GO method is equally capable of dealing with bound-state problems with high accuracy,which is traditionally achieved through the usual extreme conditions of energy itself.

关 键 词：complex coordinate rotation method resonant state metastable state gradient optimization 

分 类 号：O562[理学—原子与分子物理]