Canonical symplectic structure and structure-preserving geometric algorithms for Schrodinger-Maxwell systems

JOURNAL OF COMPUTATIONAL PHYSICS

卷:349

Article

Chen, Qiang^1,2,3  Qin, Hong^1,2,4  Liu, Jian^1,2  Xiao, Jianyuan^1,2  Zhang, Ruili^1,2  He, Yang⁵  Wang, Yulei^1,2 

[1] Univ Sci & Technol China, Sch Nucl Sci & Technol, Hefei 230026, Anhui, Peoples R China

[2] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China

[3] Luoyang Elect Equipment Testing Ctr, Luoyang 471000, Peoples R China

[4] Princeton Univ, Plasma Phys Lab, POB 451, Princeton, NJ 08543 USA

[5] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China

关键词: Schrodinger-Maxwell equations;    Symplectic structure;    Discrete Poisson bracket;    Geometric algorithms;    First-principle simulation;   

DOI  :  10.1016/j.jcp.2017.08.033

来源: Elsevier

【 摘 要 】

An infinite dimensional canonical symplectic structure and structure-preserving geometric algorithms are developed for the photon-matter interactions described by the Schrodinger-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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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