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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., Comment: 7 pages, 3 figures

We investigate the role of nonlinearity via optical parametric oscillator on the entropy production rate and quantum correlations in a hybrid optomechanical system. Specifically, we derive the modified entropy production rate of an optical parametric oscillator placed in the optomechanical cavity which is well described by the two-mode Gaussian state. We find a dramatic deviation in the irreversibility and quantum mutual information for small detuning. Our analysis shows that the system irreversibility can be reduced by choosing the appropriate phase of the self-induced nonlinearity. We further demonstrate that the nonlinearity effect persist for a reasonable range of cavity decay rate., Comment: 8 pages 4 figures