  Solving the quantum-mechanical many-body problem requires scalable
computational approaches, which are rooted in a good understanding of the
physics of correlated electronic systems. Interacting electrons in a magnetic
field display a huge variety of eigenstates with different internal structures,
which have been probed experimentally in the Hall effect. The advent of
high-performing graphics processing units has lead to a boost in computational
speed in particular for classical systems. In the absence of a
quantum-computer, it is thus of importance to see how quantum-mechanical
problems can be cast into a seemingly classical dynamics, which can be
efficiently implemented. At the same time, such mappings provide insights into
the quantum-to-classical transition of many-body systems.
