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Coupling a microscopic mechanical resonator to a nano-scale quantum systemenables control of the mechanical resonator via the quantum system, and viceversa. The coupling is usually achieved through functionalization of themechanical resonator but this results in additional mass and dissipationchannels. An alternative is an intrinsic coupling based on strain. We employhere a monolithic semiconductor system. The nano-scale quantum system is aquantum dot; the mechanical resonator a microscopic trumpet whichsimultaneously optimizes the mechanical and photonic properties. The quantumdot transition is driven resonantly. Via the resonance fluorescence, we observemechanical Brownian motion even at 4K, and demonstrate a coupling to mechanicalmodes of different types. We identify a mechanical mode with a cooperativitylarger than one. We show analytically that the Heisenberg limit on displacementmeasurement can be reached with an embedded two-level system in the case of atransform-limited optical emitter with perfect photon detection. We argue thatoperation close to the Heisenberg limit is achievable with state-of-the-artquantum dot devices.

Resonant driving of a single photon emitter embedded in a mechanical oscillator