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We study unconventional cavity optomechanics and the acoustic analogue ofradiation pressure to show the possibility of nonlinear coherent control ofphonons in the acoustic quantum vacuum. Specifically, we study systems where aquantized optical field effectively modifies the frequency of an acousticresonator. We present a general method to enhance such a nonlinear interactionby employing an intermediate qubit. Compared with conventional optomechanicalsystems, the roles of mechanical and optical resonators are interchanged, andthe boundary condition of the phonon resonator can be modulated with anultrahigh optical frequency. These differences allow to test some quantumeffects with parameters which are far beyond the reach of conventional cavityoptomechanics. Based on this novel interaction form, we show that variousnonclassical quantum effects can be realized. Examples include an effectivemethod for modulating the resonance frequency of a phonon resonator (e.g., asurface-acoustic-wave resonator), demonstrating mechanical parametricamplification, and the dynamical Casimir effect of phonons originating from theacoustic quantum vacuum. Our results demonstrate that unconventionaloptomechanics offers a versatile hybrid platform for quantum engineering ofnonclassical phonon states in quantum acoustodynamics.

Unconventional Cavity Optomechanics: Nonlinear Control of Phonons in the Acoustic Quantum Vacuum