Microcomb-driven photonic chip for solving partial differential equations  

作　　者：Hongyi Yuan Zhuochen Du Huixin Qi Guoxiang Si Cuicui Lu Yan Yang Ze Wang Bo Ni Yufei Wang Qi-Fan Yang Xiaoyong Hu Qihuang Gong 

机构地区：[1]Beijing Institute of Technology,School of Physics,Center for Interdisciplinary Science of Optical Quantum and NEMS Integration,Beijing Key Laboratory of Nanophotonics and Ultrafine Optoelectronic Systems,Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurements of Ministry of Education,Beijing,China [2]Beijing Academy of Quantum Information Sciences,Peking University,Nano-optoelectronics Frontier Center of Ministry of Education,Collaborative Innovation Center of Quantum Matter,State Key Laboratory for Mesoscopic Physics&Department of Physics,Beijing,China [3]Chinese Academy of Sciences,Institute of Microelectronics,Beijing,China [4]Peking University Yangtze Delta Institute of Optoelectronics,Nantong,China [5]Shanxi University,Collaborative Innovation Center of Extreme Optics,Taiyuan,China [6]Hefei National Laboratory,Hefei,China

出　　处：《Advanced Photonics》2025年第1期62-73,共12页先进光子学(英文)

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.92150302 and 12274031);the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0301500);the Beijing Institute of Technology Research Fund Program for Teli Young Fellows;the Beijing Institute of Technology Science and Technology Innovation Plan Innovative Talents Science and Technology Funding Special Plan(Grant No.2022CX01006)。

摘　　要：With the development of the big data era,the need for computation power is dramatically growing,especially for solving partial differential equations(PDEs),because PDEs are often used to describe complex systems and phenomena in both science and engineering.However,it is still a great challenge for on-chip photonic solving of time-evolving PDEs because of the difficulties in big coefficient matrix photonic computing,high accuracy,and error accumulation.We overcome these challenges by realizing a microcomb-driven photonic chip and introducing time-division multiplexing and matrix partition techniques into PDE photonic solving,which can solve PDEs with a large coefficient matrix on a photonic chip with a limited size.Timeevolving PDEs,including the heat equation with the first order of time derivative,the wave equation with the second order of time derivative,and the nonlinear Burgers equation,are solved with an accuracy of up to 97%.Furthermore,the parallel solving of the Poisson equation and Laplace's equation is demonstrated experimentally on a single chip,with an accuracy of 95.9%and 95.8%,respectively.We offer a powerful photonic platform for solving PDEs,which takes a step forward in the application of photonic chips in mathematical problems and will promote the development of on-chip photonic computing.

关 键 词：photonic computing silicon photonics partial differential equations 

分 类 号：O241.3[理学—计算数学]