Analogue of cavity quantum electrodynamics for coupling between spin and a nanomechanical resonator: Dynamic squeezing and coherent manipulations

In the cavity QED analogue for the coupling system of a spin and a nanomechanical resonator, we show that, when the nanomechanical resonator is quantized, a spin-boson model for this coupling system can refer to a Jaynes-Cummings (JC) or an anti-JC model. These observations predict some quantum optical phenomena, such as dynamic squeezing in the single oscillation mode of the nanomechanical resonator. By modulating the phase of rf magnetic field, one can switch the system between the JC and anti-JC model for the detection of the single spin.