A light deflecting apparatus includes first and second light deflecting liquid crystal cells, each corresponding to each eye of a user and each comprising a liquid crystal layer including liquid crystal molecules with positive dielectric anisotropy and exhibiting a cholesteric blue phase when no voltage is applied, a pair of transparent substrates sandwiching the liquid crystal layer, a pair of transparent electrodes each being formed above each transparent substrate, a prism layer formed above one of the transparent substrates, and a driving device switching between a first state wherein the first and the second light deflecting liquid crystal cells are respectively in a homeotropic phase and a cholesteric blue phase, and a second state wherein the first and the second light deflecting liquid crystal cells are respectively in a cholesteric blue phase and a homeotropic phase.