Fig. 1. Schematic of the considered system, where the mechanical frequency is modulated through the tuning electrode. The left setups are used to detect the obtained mechanical squeezing.

Fig. 2. (a) and (b) show time evolution of Δp2 with the time-varying frequency ωr(t) at the control case presented in (c) and (d), respectively, where Δc′=ωm, κ=0.1ωm, γ=10−6ωm, n¯mT=0, and c=0.2.

Fig. 3. Time evolution of Δp2 at different G and Δc′ in (a) and (b), respectively, where (c) and (d) are the corresponding time-varying control fields. The other parameters are the same as in Fig. 2.

Fig. 4. Wigner function in units of 1/100 for ωmt=0 and ωmt=30 in (a) and (b), respectively. The parameters are the same as in Fig. 2(a).

Fig. 5. Plot of squeezing level with different cavity decay κ in (a) and thermal phonon number n¯mT in (b). (c) and (d) are the corresponding control fields. The other parameters are the same as in Fig. 2(a).

Fig. 6. Time evolution of Δq2 with detection and without detection, where Gs/ωm=0.01 and κs/ωm=0.1. The other parameters are the same as in Fig. 2(a).