  We investigate the photon induced tunneling phenomena in a photonic crystal
cavity containing a strongly coupled quantum dot and describe how this
tunneling can be used to generate photon states consisting mainly of a
particular Fock state. Additionally, we study experimentally the photon-induced
tunneling as a function of excitation laser power and frequency and show the
signature of second rung of the Jaynes-Cummings Hamiltonian in the observed
photon-statistics.
