Room-temperature quantum optomechanics using an ultra-low noise cavity

Ponderomotive squeezing of light, where a mechanical oscillator creates quantum correlations between the phase and amplitude of the interacting light field, is a canonical signature of the quantum regime of optomechanics. At room temperature, this has only been reached in pioneering experiments where an optical restoring force controls the oscillator stiffness, akin to the vibrational motion of atoms in an optical lattice. These include both levitated nanoparticles and optically-trapped cantilevers. Recent advances in engineered mechanical resonators, where the restoring force is provided by material rigidity rather than an external optical potential, have realized ultra-high quality factors (Q) by exploiting `soft clamping'. However entering the quantum regime with such resonators, has so far been prevented by optical cavity frequency fluctuations and thermal intermodulation noise. Here, we overcome this challenge and demonstrate optomechanical squeezing at room temperature in a phononic-engineered membrane-in-the-middle system. By using a high finesse cavity whose mirrors are patterned with phononic crystal structures, we reduce cavity frequency noise by more than 700-fold. In this ultra-low noise cavity, we introduce a silicon nitride membrane oscillator whose density is modulated by silicon nano-pillars, yielding both high thermal conductance and a localized mechanical mode with Q of 1.8e8. These advances enable operation within a factor of 2.5 of the Heisenberg limit, leading to squeezing of the probing field by 1.09 dB below the vacuum fluctuations. Moreover, the long thermal decoherence time of the membrane oscillator (more than 30 vibrational periods) allows us to obtain conditional displaced thermal states of motion with an occupation of 0.97 phonon, using a multimode Kalman filter. Our work extends quantum control of engineered macroscopic oscillators to room temperature