  The simulation of quantum processes is a key goal for the grand programme
aiming at grounding quantum technologies as the way to explore complex
phenomena that are inaccessible through standard, classical calculators. Some
interesting steps have been performed in this direction and this scenario has
recently been extended to open quantum evolutions, marking the possibility to
investigate important features of the way a quantum system interacts with its
environment. Here we demonstrate experimentally the (non-)Markovianity of a
process where system and environment are coupled through a simulated transverse
Ising model. By engineering the evolution in a fully controlled photonic
quantum simulator, we assess and demonstrate the role that system-environment
correlations have in the emergence of memory effects.
