  We study the interaction between a quantum-dot and a bi-mode
micro/nano-optical cavity composed of second-order nonlinear materials.
Compared with the Jaynes-Cummings (J-C) model, except for a coherent weak
driving field, a strong pump light illuminates the two-mode optical cavity.
Analytical results indicate that the model exhibits abundant non-classical
optical phenomena, such as conventional photon blockade induced by the
nonlinear interaction between polaritons. It constitutes unconventional photon
blockade induced by quantum interference due to parametric driving. We compare
the photon statistical properties and average photon number of the proposed
model, J-C model, and double-mode driven optical cavity under the same
parameters and the proposed model can obtain stronger antibunching photons and
higher average photon number.
