Quantum Metric, Topology and Second Harmonic Generation  

作　　者：En Wang Yaxian Wang Sheng Meng 王恩;王亚娴;孟胜

机构地区：[1]Beijing National Laboratory for Condensed Matter Physics and Institute of Physics,Chinese Academy of Sciences,Beijing 100190,China [2]School of Physical Sciences,University of Chinese Academy of Sciences,Beijing 100190,China [3]Songshan Lake Materials Laboratory,Dongguan 523808,China

出　　处：《Chinese Physics Letters》2025年第4期99-113,共15页中国物理快报(英文版)

基　　金：supported by National Natural Science Foundation of China(Grant Nos.12025407,12474246,and 12450401);the National Key Research and Development Program of China(Grant No.2021YFA1400201);the Chinese Academy of Sciences(Grant Nos.YSBR-047 and XDB33030100)。

摘　　要：The quantum metric manifested as the Riemannian metric in the parameter space of Bloch bands,characterizes the topology and geometry of quantum states.The second harmonic generation(SHG),as one of the fundamental nonlinear optical responses that links geometry of optical transitions to physical observables,despite being widely studied in various materials,its relation to quantum metric,especially in the dynamical regime,stays obscure.

关 键 词：second harmonic generation shg quantum metric quantum metricespecially geometry optical transitions nonlinear optical responses bloch bandscharacterizes riemannian metric TOPOLOGY 

分 类 号：O469[理学—凝聚态物理]