Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 349, Issue -, Pages 441-452Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2017.08.033
Keywords
Schrodinger-Maxwell equations; Symplectic structure; Discrete Poisson bracket; Geometric algorithms; First-principle simulation
Funding
- National Natural Science Foundation of China [NSFC-51477182, 11575185, 11575186]
- ITER-China [2015GB111003]
- CAS [QYZDB-SSW-SYS004]
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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.
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