The key feature of optomechanics is that its basic interactions are inherently nonlinear. This feature allows coherent and nonclassical effects such as squeezing on the mechanical mode induced by chaotic incoherent light. Since this effect is too challenging to observe directly in the membrane-in-the-middle arrangement of quantum optomechanics, we analyze an analogical high-order nonlinear effect and propose to simulate it all-optically. Specifically, we exploit hybrid quantum optics based on single photon states and homodyne detection to conditionally construct a simulator for noise-driven nonclassical effects. We show that this simulation can confirm the presence of squeezing caused by nonlinear coupling pumped by a noisy light. Our proposal opens the possibilities to emulate nonclassical effects challenging on the natural experimental platforms.
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