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Quantum entanglement and Einstein-Podolsky-Rosen (EPR) steering are valuableresources in quantum information processing. How to enhance the quantumentanglement and EPR steering of coupled optomechanical systems with a weaksqueezed vacuum field are studied when the displacement of detuning induced bythe mechanical mode is considered. Compared with the condition that the systeminteracts with a vacuum environment, the quantum entanglement and EPR steeringare stronger when the squeezed vacuum field is applied. A squeezed vacuum fieldwith a large degree is not beneficial to enhance the quantum entanglement andEPR steering. Rather than the squeezing parameter of the squeezed vacuum field,the reference phase plays a vital role in this model.

Enhancing the quantum entanglement and EPR steering of a coupled optomechanical system with a squeezed vacuum field