Classical evolution of quantum systems. (arXiv:1802.02807v1 [quant-ph])

For studying quantum phenomena in time, it is vital to have a profound
understanding of the classical dynamics. For this reason, we derive equations
of motions describing the classical propagation of a quantum system. A
comparison of this classical evolution with the actual temporal behavior
enables us to identify quantum effects of the evolution itself and distinguish
them from static quantum features and quantum phenomena for a single point in
time. As applications of our universal technique, we analyze nonlinear
processes in quantum optics, semi-classical models, and the multipartite
entanglement dynamics of macroscopic ensembles.

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