  Generation and control of quantum states of light on an integrated platform
has become an essential tool for scalable quantum technologies. Chip scale
sources such as nonlinear optical microcavities have been demonstrated to
efficiently generate entangled bi-photon states. However these systems have
little control over the continuous variable time-energy entanglement of the
photons. We demonstrate such control by preparing bi-photon states with
asymmetric temporal wavefunctions by selectively modifying the density of
states of the cavity modes taking part in the interaction using Rayleigh
scattering-induced strong coupling of optical modes of a resonator. These
states reveal exotic coherence properties and show a path forward for
continuous variable quantum state engineering on a chip.
