  A classical realization of the Jaynes-Cummings (JC) model, describing the
interaction of a two-level atom with a quantized cavity mode, is proposed based
on light transport in engineered waveguide superlattices. The optical setting
enables to visualize in Fock space dynamical regimes not yet accessible in
quantum systems, providing new physical insights into the deep strong coupling
regime of the JC model. In particular, bouncing of photon number wave packets
in Hilbert space and revivals of populations are explained as generalized Bloch
oscillations in an inhomogeneous tight-binding lattice.
