Abstract
Spin squeezed state, as an important quantum resource, can be used to implement the high precise measurement beyond the standard quantum limit. Based on the recent novel scheme that strong magnetomechanical interaction between a single Nitrogen-vacancy (NV) spin and the vibrational mode of the suspended nanotube is engineered (Li et al. Phys. Rev. Lett. 117, 015502 2016), we investigate the steady-state spin squeezing behaviors of a spin ensemble in diamond coupled to carbon nanotubes by exerting a controllable microwave field. We show that steady-state spin squeezing can be generated with the help of the microwave field, despite the damping from mechanical damping. This investigation based on spin-spin interaction in diamond might apply to magnetometers, interferometry, and other precision measurement measurements.
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