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Mean field approximation of many-body quantum dynamics for Bosons in a discrete numerical model (1508.00452v1)
Published 3 Aug 2015 in math-ph, math.AP, and math.MP
Abstract: The mean field approximation is numerically validated in the bosonic case by considering the time evolution of quantum states and their associated reduced density matrices by many-body Schr\"odinger dynamics. The model phase-space is finite-dimensional. The results are illustrated with numerical simulations of the evolution of quantum states according to the time, the number of the particles, and the dimension of the phase-space.
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