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Recent experiments demonstrated that GaAs-AlAs based micropillar cavities arepromising systems for quantum optomechanics, allowing the simultaneousthree-dimensional confinement of near-infrared photons and acoustic phonons inthe 18-100 GHz range. Here, we investigate through numerical simulations theoptomechanical properties of this new platform. We evidence how the Poisson'sratio and semiconductor-vacuum boundary conditions lead to very distinctfeatures in the mechanical and optical three dimensional confinement. We find astrong dependence of the mechanical quality factor and strain distribution onthe micropillar radius, in great contrast to what is predicted and observed inthe optical domain. The derived optomechanical coupling constants g_0 reachultra-large values in the 10^6 rad/s range.

Optomechanical properties of GaAs/AlAs micropillar resonators operating in the 18 GHz range