Coherent feedback cooling of a nanomechanical membrane with atomic spins

Abstract

Coherent feedback stabilises a system towards a target state without the need of a measurement, thus avoiding the quantum backaction inherent to measurements. Here, we employ optical coherent feedback to remotely cool a nanomechanical membrane using atomic spins as a controller. Direct manipulation of the atoms allows us to tune from strong-coupling to an overdamped regime. Making use of the full coherent control offered by our system, we perform spin-membrane state swaps combined with stroboscopic spin pumping to cool the membrane in a room-temperature environment to $T=216\mathrm{mK}$ (${\bar{n}}_m=2.3\times 10^3$ phonons) in $200\mu \mathrm{s}$. We furthermore observe and study the effects of delayed feedback on the cooling performance. Starting from a cryogenically pre-cooled membrane, this method would enable cooling of the mechanical oscillator close to its quantum mechanical ground state and the preparation of nonclassical states.

13 pages, 8 figures

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• Unified Collision Model of Coherent and Measurement-based Quantum Feedback
• Nanomechanically-induced nonequilibrium quantum phase transition to a self-organized density wave of a Bose-Einstein condensate
• Squeezing light with optomechanical and spin-light quantum interfaces