Strong mechanical squeezing in a microcavity with double quantum wells

In a hybrid quantum system composed of two quantum wells placed inside a cavity with a moving end mirror pumped by bichromatic coherent light, we address the formation of squeezed states of a mechanical resonator. The exciton mode and mechanical resonator interact indirectly via microcavity fields. Under the conditions of the generated coupling, we predict squeezing of the mechanical-mode beyond the resolved side-band regime with existing experimental parameters. Finally, we show that the robustness of this squeezing against thermal fluctuations is important for practical applications of such systems.