Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967234 | Journal of Computational Physics | 2017 | 12 Pages |
Abstract
An infinite dimensional canonical symplectic structure and structure-preserving geometric algorithms are developed for the photon-matter interactions described by the Schrödinger-Maxwell equations. The algorithms preserve the symplectic structure of the system and the unitary nature of the wavefunctions, and bound the energy error of the simulation for all time-steps. This new numerical capability enables us to carry out first-principle based simulation study of important photon-matter interactions, such as the high harmonic generation and stabilization of ionization, with long-term accuracy and fidelity.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Qiang Chen, Hong Qin, Jian Liu, Jianyuan Xiao, Ruili Zhang, Yang He, Yulei Wang,