Gauge and Poincar\’e invariant canonical symplectic algorithms for real-time lattice strong-field quantum electrodynamics. (arXiv:1910.09215v3 [quant-ph] UPDATED)

A class of high-order canonical symplectic structure-preserving geometric algorithms are developed for high-quality simulations of the quantized Dirac-Maxwell theory based strong-field quantum electrodynamics (SFQED) and relativistic quantum plasmas (RQP) phenomena.

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