  We demonstrate a degenerate parametric oscillator in a silicon-nitride
microresonator. We use two frequency-detuned pump waves to perform parametric
four-wave mixing and operate in the normal group-velocity dispersion regime to
produce signal and idler fields that are frequency degenerate. Our theoretical
modeling shows that this regime enables generation of bimodal phase states,
analogous to the \c{hi}(2)-based degenerate OPO. Our system offers potential
for realization of CMOS-chip-based coherent optical computing and an
all-optical quantum random number generator.
