Figure 3. The ratio of ${\delta }^{2}{\rm{\Omega }}(\omega )$ with coherent motional input state in Condition $\mathrm{II}$ to that in Condition ${\rm{I}}$ versus the true value of ${{\rm{\Omega }}}_{0}({\omega }_{0})$ with different negative x1. We set the coherent states that under both conditions have the same trapping energy, i.e. ${x}_{1}^{2}+{x}_{2}^{2}+{y}_{1}^{2}+{y}_{2}^{2}={r}_{1}^{2}\,+{r}_{2}^{2}$ and let ${y}_{1}=10$, $\kappa =10$.
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