Strong mechanical squeezing in microcavity with double quantum wells

We address the creation of squeezed states of a mechanical resonator in a hybrid quantum system consisting of two quantum wells placed inside a cavity with a moving end mirror pumped by bichromatic laser fields. 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 available experimental parameters. Finally, we show that the squeezing of the mechanical mode is robust against the phonon thermal bath temperature.