Cooling a magnetic resonance force microscope via the dynamical back-action of nuclear spins

Abstract

We analyze the back-action influence of nuclear spins on the motion of the cantilever of a magnetic force resonance microscope. We calculate the contribution of nuclear spins to the damping and frequency shift of the cantilever. We show that, at the Rabi frequency, the energy exchange between the cantilever and the spin system cools or heats the cantilever depending on the sign of the high-frequency detuning. We also show that the spin noise leads to a significant damping of the cantilever motion.

15 pqges, 11 figures. The last part of Section IV.A and Section IV B were rewritten. We added three new graphs: Figs. 5, 7, 9 and all graphs in this subsection were recalculated for T=600 mK as in the experiment. Several new references were added

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• Feedback-induced nonlinearity and superconducting on-chip quantum optics
• Tunable RKKY interaction in a double quantum dot nanoelectromechanical device
• Rabi-vibronic resonance with large number of vibrational quanta
• Dissipative dynamics of qubits driven by a bichromatic field in the dispersive regime