We investigate the optical bistability and multistability in donor and acceptor quantum dots embedded in a nonlinear photonic crystal inside an optical ring cavity. It is found that the optical bistability and multistability can be easily controlled via adjusting properly the corresponding parameters of the system. The effect of the dipole-dipole interaction has also been included in the formulation, which leads to interesting phenomena. Our scheme opens the possibility to control the optical bistability and multistability in photonic materials doped with nanoparticles.
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