  Periodically driven dynamics of open quantum systems is very interesting
because typically non-equilibrium steady state is reached, which is
characterized by a non-vanishing current. In this work, we study time discrete
and periodically driven dynamics experimentally for a single photon that its
coupled to its environment. We develop a comprehensive theory which explains
the experimental observations and offers an analytical characterization of the
non-equilibrium steady states of the system. We demonstrate that the periodic
driving and the properties of the environment can be engineered in such a way
that there is asymptotically non-vanishing bidirectional information flow
between the open system and the environment.
